Almost Mathieu operator

In mathematical physics, the almost Mathieu operator arises in the study of the quantum Hall effect.

In mathematical physics, the almost Mathieu operator arises in the study of the quantum Hall effect.

Baker-Campbell-Hausdorff formula

In mathematics, the Baker–Campbell–Hausdorff formula is the solution to ::: log(e

In mathematics, the Baker–Campbell–Hausdorff formula is the solution to ::: log(e

^{X}e^{Y})for noncommutative and.Bargmann-Wigner equations

In relativistic quantum mechanics and quantum field theory, the Bargmann–Wigner equations (or BW equations or BWE) are relativistic wave equations which describe free particles of ar...

In relativistic quantum mechanics and quantum field theory, the Bargmann–Wigner equations (or BW equations or BWE) are relativistic wave equations which describe free particles of ar...

Berezin integral

In mathematical physics, a Berezin integral, named after Felix Berezin, (or Grassmann integral, after Hermann Grassmann) is a way to define integration of elements of the exterior algebra ...

In mathematical physics, a Berezin integral, named after Felix Berezin, (or Grassmann integral, after Hermann Grassmann) is a way to define integration of elements of the exterior algebra ...

Bit-string physics

Bit-string physics is an emerging body of theory which considers the universe to be a process of operations on strings of bits.

Bit-string physics is an emerging body of theory which considers the universe to be a process of operations on strings of bits.

Bloch wave

A Bloch wave or Bloch state, named after Swiss physicist Felix Bloch, is the wavefunction of a particle (usually, an electron) placed in a periodic potential.

A Bloch wave or Bloch state, named after Swiss physicist Felix Bloch, is the wavefunction of a particle (usually, an electron) placed in a periodic potential.

Borel summation

In mathematics, Borel summation is a summation method for divergent series, introduced by.

In mathematics, Borel summation is a summation method for divergent series, introduced by.

Bred vector

In applied mathematics, bred vectors are perturbations, related to Lyapunov vectors, that capture fast growing dynamical instabilities of the solution of a numerical model.

In applied mathematics, bred vectors are perturbations, related to Lyapunov vectors, that capture fast growing dynamical instabilities of the solution of a numerical model.

Calabi-Yau manifold

In mathematics, Calabi–Yau manifolds are complex manifolds that are higher-dimensional analogues of K3 surfaces.

In mathematics, Calabi–Yau manifolds are complex manifolds that are higher-dimensional analogues of K3 surfaces.

Canonical commutation relation

In quantum mechanics (physics), the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related by definition such that one is...

In quantum mechanics (physics), the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related by definition such that one is...

Change of variables

In mathematics, the operation of substitution consists in replacing all the occurrences of a free variables appearing in an expression or a formula by a number or another expression.

In mathematics, the operation of substitution consists in replacing all the occurrences of a free variables appearing in an expression or a formula by a number or another expression.

Christoffel symbols

In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel (1829–1900), are numerical arrays of real numbers that describe, in coordinates, the effects of parallel t...

In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel (1829–1900), are numerical arrays of real numbers that describe, in coordinates, the effects of parallel t...

Circular ensemble

In the theory of random matrices, the circular ensembles are measures on spaces of unitary matrices introduced by Freeman Dyson as modifications of the Gaussian matrix ensembles.

In the theory of random matrices, the circular ensembles are measures on spaces of unitary matrices introduced by Freeman Dyson as modifications of the Gaussian matrix ensembles.

Classical Mechanics (Kibble and Berkshire)

Classical Mechanics (5th ed.) is a well-established textbook written by Thomas Walter Bannerman Kibble, FRS, (born 1932) and Frank Berkshire of the Imperial College Mathematics Department.

Classical Mechanics (5th ed.) is a well-established textbook written by Thomas Walter Bannerman Kibble, FRS, (born 1932) and Frank Berkshire of the Imperial College Mathematics Department.

Classification of electromagnetic fields

In differential geometry and theoretical physics, the classification of electromagnetic fields is a pointwise classification of bivectors at each point of a Lorentzian manifold.

In differential geometry and theoretical physics, the classification of electromagnetic fields is a pointwise classification of bivectors at each point of a Lorentzian manifold.

Coefficient of fractional parentage

In physics, coefficients of fractional parentage (cfp's) can be used to obtain anti-symmetric many-body states for like particles.

In physics, coefficients of fractional parentage (cfp's) can be used to obtain anti-symmetric many-body states for like particles.

Coherent states in mathematical physics

Coherent states have been introduced in a physical context, first as quasi-classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit i...

Coherent states have been introduced in a physical context, first as quasi-classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit i...

Combinatorial hierarchy

Combinatorial hierarchy is a mathematical structure of bit-strings generated by an algorithm based on discrimination (exclusive-or between bits).

Combinatorial hierarchy is a mathematical structure of bit-strings generated by an algorithm based on discrimination (exclusive-or between bits).

Combinatorics and physics

Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics.

Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics.

Common integrals in quantum field theory

There are common integrals in quantum field theory that appear repeatedly.

There are common integrals in quantum field theory that appear repeatedly.

Darboux's theorem

Darboux's theorem is a theorem in the mathematical field of differential geometry and more specifically differential forms, partially generalizing the Frobenius integration theorem.

Darboux's theorem is a theorem in the mathematical field of differential geometry and more specifically differential forms, partially generalizing the Frobenius integration theorem.

De Donder-Weyl theory

In mathematical physics, the De Donder–Weyl theory is a formalism in the calculus of variations over spacetime which treats the space and time coordinates on equal footing.

In mathematical physics, the De Donder–Weyl theory is a formalism in the calculus of variations over spacetime which treats the space and time coordinates on equal footing.

Defining equation (physics)

In physics, defining equations are equations that define new quantities in terms of base quantities.

In physics, defining equations are equations that define new quantities in terms of base quantities.

Density matrix

A density matrix is a matrix that describes a quantum system in a mixed state, a statistical ensemble of several quantum states, in contrast to a pure state, described by a single state ...

A density matrix is a matrix that describes a quantum system in a mixed state, a statistical ensemble of several quantum states, in contrast to a pure state, described by a single state ...

Diffeomorphism

In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.

In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.

Dirac operator

In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian.

In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian.

Eigenvalues and eigenvectors

Eigenvalues and eigenvectors have many applications in both pure and applied mathematics.

Eigenvalues and eigenvectors have many applications in both pure and applied mathematics.

Einstein manifold

In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian manifold whose Ricci tensor is proportional to the metric.

In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian manifold whose Ricci tensor is proportional to the metric.

Einstein notation

In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention that implies summation over a set...

In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention that implies summation over a set...

Electromagnetic wave equation

The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum.

The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum.

Equation of everything

In theoretical physics, particularly mathematical physics, an equation of everything is an equation that would unify the four fundamental forces of nature into a single equation.

In theoretical physics, particularly mathematical physics, an equation of everything is an equation that would unify the four fundamental forces of nature into a single equation.

Equipotential

Equipotential or isopotential in mathematics and physics refers to a region in space where every point in it is at the same potential.

Equipotential or isopotential in mathematics and physics refers to a region in space where every point in it is at the same potential.

Euclidean random matrix

An N×N Euclidean random matrix Â is defined with the help of an arbitrary deterministic function f and of N points {r

An N×N Euclidean random matrix Â is defined with the help of an arbitrary deterministic function f and of N points {r

_{i}} randomly distributed in a region V of d-...Euler's pump and turbine equation

Euler's pump and turbine equation, named after Leonhard Euler, is an equation used in centrifugal compressors and other turbo-machinery.

Euler's pump and turbine equation, named after Leonhard Euler, is an equation used in centrifugal compressors and other turbo-machinery.

FBI transform

In mathematics, the FBI transform or Fourier–Bros–Iagolnitzer transform is a generalization of the Fourier transform developed by the French mathematical physicists Jacques Bro...

In mathematics, the FBI transform or Fourier–Bros–Iagolnitzer transform is a generalization of the Fourier transform developed by the French mathematical physicists Jacques Bro...

Five Equations That Changed the World: The Power and Poetry of Mathematics

Five Equations That Changed the World: The Power and Poetry of Mathematics is a book written by Michael Guillen in 1995.

Five Equations That Changed the World: The Power and Poetry of Mathematics is a book written by Michael Guillen in 1995.

Floer homology

In mathematics, Floer homology is a mathematical tool used in the study of symplectic geometry and low-dimensional topology.

In mathematics, Floer homology is a mathematical tool used in the study of symplectic geometry and low-dimensional topology.

Fourier analysis

In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

Fourier transform

The Fourier transform, named after Joseph Fourier, is a mathematical transformation employed to transform signals between time (or spatial) domain and frequency domain, which has many applicatio...

The Fourier transform, named after Joseph Fourier, is a mathematical transformation employed to transform signals between time (or spatial) domain and frequency domain, which has many applicatio...

Functional integration

Functional integration is a collection of results in mathematics and physics where the domain of an integral is no longer a region of space, but a space of functions.

Functional integration is a collection of results in mathematics and physics where the domain of an integral is no longer a region of space, but a space of functions.

Gaussian matrix ensemble

In the theory of random matrices, the Gaussian matrix ensembles are Gaussian measures on spaces of Hermitian matrices T, obtained by multiplying a translation-invariant measure by the Gauss...

In the theory of random matrices, the Gaussian matrix ensembles are Gaussian measures on spaces of Hermitian matrices T, obtained by multiplying a translation-invariant measure by the Gauss...

Gell-Mann-Okubo mass formula

In physics, the Gell-Mann–Okubo mass formula provides a sum rule for baryon and meson masses within a specific multiplet determined by particle spin.

In physics, the Gell-Mann–Okubo mass formula provides a sum rule for baryon and meson masses within a specific multiplet determined by particle spin.

Gell-Mann–Okubo mass formula

In physics, the Gell-Mann–Okubo mass formula provides a sum rule for baryon and meson masses within a specific multiplet determined by particle spin.

In physics, the Gell-Mann–Okubo mass formula provides a sum rule for baryon and meson masses within a specific multiplet determined by particle spin.

Geometrical optics

Geometrical optics, or ray optics, describes light propagation in terms of "rays".

Geometrical optics, or ray optics, describes light propagation in terms of "rays".

Goldstone boson

In particle and condensed matter physics, Goldstone bosons or Nambu–Goldstone bosons (NGBs) are bosons that appear necessarily in models exhibiting spontaneous breakdown of continuous sym...

In particle and condensed matter physics, Goldstone bosons or Nambu–Goldstone bosons (NGBs) are bosons that appear necessarily in models exhibiting spontaneous breakdown of continuous sym...

Gravitational instanton

In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum Einstein equations.

In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum Einstein equations.

Homoeoid

A homoeoid is a shell bounded by two concentric, similar ellipses (in 2D) or ellipsoids (in 3D).

A homoeoid is a shell bounded by two concentric, similar ellipses (in 2D) or ellipsoids (in 3D).

Horng-Tzer Yau

Horng-Tzer Yau (姚鴻澤) is a Taiwanese-American mathematician.

Horng-Tzer Yau (姚鴻澤) is a Taiwanese-American mathematician.

K-Poincaré algebra

In physics and mathematics, the κ-Poincaré algebra, named after Henri Poincaré, is a deformation of the Poincaré algebra into an Hopf algebra.

In physics and mathematics, the κ-Poincaré algebra, named after Henri Poincaré, is a deformation of the Poincaré algebra into an Hopf algebra.

K-Poincaré group

In physics and mathematics, the κ-Poincaré group, named after Henri Poincaré, is a quantum group, obtained by deformation of the Poincaré group into an Hopf algebra.

In physics and mathematics, the κ-Poincaré group, named after Henri Poincaré, is a quantum group, obtained by deformation of the Poincaré group into an Hopf algebra.

Kerner's breakdown minimization principle

Kerner’s breakdown minimization principle (BM principle) is a principle for the optimization of vehicular traffic networks introduced by Boris Kerner in 2011.

Kerner’s breakdown minimization principle (BM principle) is a principle for the optimization of vehicular traffic networks introduced by Boris Kerner in 2011.

Killing horizon

A Killing horizon is a null hypersurface defined by the vanishing of the norm of a Killing vector field (both are named after Wilhelm Killing).

A Killing horizon is a null hypersurface defined by the vanishing of the norm of a Killing vector field (both are named after Wilhelm Killing).

Koopman von Neumann-wavefunction

In mathematial physics, the Koopman von Neumann–wavefunction is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

In mathematial physics, the Koopman von Neumann–wavefunction is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

Koopman-von Neuman wavefunction

In mathematial physics, the Koopman–von Neumann wavefunction is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

In mathematial physics, the Koopman–von Neumann wavefunction is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

Koopman-von Neumann classical mechanics

The Koopman–von Neumann mechanics is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

The Koopman–von Neumann mechanics is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

Koopman-von Neumann wavefunction

In mathematial physics, the Koopman–von Neumann wavefunction is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

In mathematial physics, the Koopman–von Neumann wavefunction is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman and John von Neumann in 1931 and 1932.

Laplace-Runge-Lenz vector

In classical mechanics, the Laplace–Runge–Lenz vector (or simply the LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one astronomical body around...

In classical mechanics, the Laplace–Runge–Lenz vector (or simply the LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one astronomical body around...

Level spacing distribution

In mathematical physics, level spacing is the difference between consecutive elements in some set of real numbers.

In mathematical physics, level spacing is the difference between consecutive elements in some set of real numbers.

Level-spacing distribution

In mathematical physics, level spacing is the difference between consecutive elements in some set of real numbers.

In mathematical physics, level spacing is the difference between consecutive elements in some set of real numbers.

Linear transport theory

In mathematical physics Linear transport theory is the study of equations describing the migration of particles or energy within a host medium when such migration involves random absorption, emi...

In mathematical physics Linear transport theory is the study of equations describing the migration of particles or energy within a host medium when such migration involves random absorption, emi...

Lyapunov vector

In applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting directions of a dynamical system.

In applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting directions of a dynamical system.

Magnus expansion

In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the solution of a first order homogeneous linear differe...

In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the solution of a first order homogeneous linear differe...

Mathematical descriptions of the electromagnetic field

There are various mathematical descriptions of the electromagnetic field that are used in the study of electromagnetism, one of the four fundamental forces of nature.

There are various mathematical descriptions of the electromagnetic field that are used in the study of electromagnetism, one of the four fundamental forces of nature.

Mathematical models in physics

Mathematical models are of great importance in physics.

Mathematical models are of great importance in physics.

Mathematical physics

Mathematical Physics refers to development of mathematical methods for application to problems in physics.

Mathematical Physics refers to development of mathematical methods for application to problems in physics.

Meinhard E. Mayer

Meinhard E. Mayer (1929 – December 11, 2011) was a Romanian–born American Professor Emeritus of Physics and Mathematics at the University of California, Irvine, which he joined in 1966.

Meinhard E. Mayer (1929 – December 11, 2011) was a Romanian–born American Professor Emeritus of Physics and Mathematics at the University of California, Irvine, which he joined in 1966.

Monopole (mathematics)

In mathematics, a monopole is a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle.

In mathematics, a monopole is a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle.

Moyal bracket

In physics, the Moyal bracket is the suitably normalized antisymmetrization of the phase-space star product.

In physics, the Moyal bracket is the suitably normalized antisymmetrization of the phase-space star product.

Moyal product

In mathematics, the Moyal product, named after José Enrique Moyal, is perhaps the best-known example of a phase-space star product: an associative, non-commutative product, ★, on the fu...

In mathematics, the Moyal product, named after José Enrique Moyal, is perhaps the best-known example of a phase-space star product: an associative, non-commutative product, ★, on the fu...

Multiple-scale analysis

In mathematics and physics, multiple-scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of pe...

In mathematics and physics, multiple-scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of pe...

N = 1 supersymmetry algebra in 1 + 1 dimensions

Basic representations of this algebra are the vacuum, kink and boson-fermion representations, which are relevant e.g. to the supersymmetric (quantum) sine-Gordon model.

Basic representations of this algebra are the vacuum, kink and boson-fermion representations, which are relevant e.g. to the supersymmetric (quantum) sine-Gordon model.

Nahm equations

The Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the Nahm transform – an alternative to Ward's twistor construction of monopoles.

The Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the Nahm transform – an alternative to Ward's twistor construction of monopoles.

Nambu mechanics

In mathematics, Nambu dynamics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians.

In mathematics, Nambu dynamics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from dis...

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from dis...

Nuts and bolts (general relativity)

Isolated fixed points are called nuts.

Isolated fixed points are called nuts.

Oscillator Toda

Oscillator Toda is special kind of nonlinear oscillator; it is vulgarization of the Toda field theory, which refers to a continuous limit of Toda's chain, of chain of particles, with exponential...

Oscillator Toda is special kind of nonlinear oscillator; it is vulgarization of the Toda field theory, which refers to a continuous limit of Toda's chain, of chain of particles, with exponential...

Pendulum (mathematics)

Simplifying assumptions can be made, which in the case of a simple pendulum allows the equations of motion to be solved analytically for small-angle oscillations.

Simplifying assumptions can be made, which in the case of a simple pendulum allows the equations of motion to be solved analytically for small-angle oscillations.

Perturbation theory

Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related problem.

Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related problem.

Phase retrieval

Phase retrieval is the process of algorithmically finding solutions to the phase problem.

Phase retrieval is the process of algorithmically finding solutions to the phase problem.

Point source

A point source is a single identifiable localised source of something.

A point source is a single identifiable localised source of something.

Potential theory

In mathematics and mathematical physics, potential theory is the study of harmonic functions.

In mathematics and mathematical physics, potential theory is the study of harmonic functions.

Pregeometry (physics)

In physics, a pregeometry is a structure from which geometry develops.

In physics, a pregeometry is a structure from which geometry develops.

Projection method (fluid dynamics)

The projection method is an effective means of numerically solving time-dependent incompressible fluid-flow problems.

The projection method is an effective means of numerically solving time-dependent incompressible fluid-flow problems.

Pseudo-Goldstone boson

Pseudo-Goldstone bosons arise in a quantum field theory with both spontaneous and explicit symmetry breaking.

Pseudo-Goldstone bosons arise in a quantum field theory with both spontaneous and explicit symmetry breaking.

Pöschl-Teller potential

In mathematical physics, a Pöschl–Teller potential, named after the physicists Herta Pöschl and Edward Teller, is a special class of potentials for which the one-dimensional Schrödinger eq...

In mathematical physics, a Pöschl–Teller potential, named after the physicists Herta Pöschl and Edward Teller, is a special class of potentials for which the one-dimensional Schrödinger eq...

Quantization (physics)

In physics, quantization is the process of transition from a classical understanding of physical phenomena to a newer understanding known as "quantum mechanics".

In physics, quantization is the process of transition from a classical understanding of physical phenomena to a newer understanding known as "quantum mechanics".

Quantum field theory

In theoretical physics, quantum field theory (QFT) is a theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in co...

In theoretical physics, quantum field theory (QFT) is a theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in co...

Quantum geometry

In theoretical physics, quantum geometry is the set of new mathematical concepts generalizing the concepts of geometry whose understanding is necessary to describe the physical phenomena at very...

In theoretical physics, quantum geometry is the set of new mathematical concepts generalizing the concepts of geometry whose understanding is necessary to describe the physical phenomena at very...

Quantum KZ equations

In mathematical physics, the quantum KZ equations or quantum Knizhnik–Zamolodchikov equations or qKZ equations are the analogue for quantum affine algebras of the Knizhnik–Zamolodchi...

In mathematical physics, the quantum KZ equations or quantum Knizhnik–Zamolodchikov equations or qKZ equations are the analogue for quantum affine algebras of the Knizhnik–Zamolodchi...

Quantum spacetime

In mathematical physics, the concept of quantum spacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily commute are assumed not to commute and for...

In mathematical physics, the concept of quantum spacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily commute are assumed not to commute and for...

Quantum triviality

This phenomenon is referred to as quantum triviality.

This phenomenon is referred to as quantum triviality.

Radius of convergence

In mathematics, the radius of convergence of a power series is a quantity, either a non-negative real number or ∞, that represents a domain in which the series will converge.

In mathematics, the radius of convergence of a power series is a quantity, either a non-negative real number or ∞, that represents a domain in which the series will converge.

Random matrix

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable.

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable.

Relativistic chaos

In physics, relativistic chaos is the application of chaos theory to dynamical systems described primarily by general relativity, and also special relativity.

In physics, relativistic chaos is the application of chaos theory to dynamical systems described primarily by general relativity, and also special relativity.

Relativistic quantum mechanics

Quantum field theory (QFT) provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized (represented) by an infinite number of dynamical ...

Quantum field theory (QFT) provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized (represented) by an infinite number of dynamical ...

Renormalization

In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities a...

In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities a...

Renormalization group

In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different dista...

In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different dista...

Rigorous coupled-wave analysis

Rigorous coupled-wave analysis is a semi-analytical method in computational electromagnetics that is most typically applied to solve scattering from periodic dielectric structures.

Rigorous coupled-wave analysis is a semi-analytical method in computational electromagnetics that is most typically applied to solve scattering from periodic dielectric structures.

Ruppeiner geometry

Ruppeiner geometry is thermodynamic geometry using the language of Riemannian geometry to study thermodynamics.

Ruppeiner geometry is thermodynamic geometry using the language of Riemannian geometry to study thermodynamics.

Sign convention

In physics, a sign convention is a choice of the physical significance of signs (plus or minus) for a set of quantities, in a case where the choice of sign is arbitrary.

In physics, a sign convention is a choice of the physical significance of signs (plus or minus) for a set of quantities, in a case where the choice of sign is arbitrary.

Spatial frequency

In mathematics, physics, and engineering, spatial frequency is a characteristic of any structure that is periodic across position in space.

In mathematics, physics, and engineering, spatial frequency is a characteristic of any structure that is periodic across position in space.

Spin glass

A spin glass is a magnet with frustrated interactions, augmented by stochastic disorder, where usually ferromagnetic and antiferromagnetic bonds are randomly distributed.

A spin glass is a magnet with frustrated interactions, augmented by stochastic disorder, where usually ferromagnetic and antiferromagnetic bonds are randomly distributed.

Spin network

In physics, a spin network is a type of diagram which can be used to represent states and interactions between particles and fields in quantum mechanics.

In physics, a spin network is a type of diagram which can be used to represent states and interactions between particles and fields in quantum mechanics.

Spin structure

In differential geometry, a spin structure on an orientable Riemannian manifold (M,g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry.

In differential geometry, a spin structure on an orientable Riemannian manifold (M,g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry.

Substitution of variables

In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with with other variables derived from the originals; the new an...

In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with with other variables derived from the originals; the new an...

Supermanifold

In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry.

In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry.

Supermathematics

Supermathematics is the branch of mathematical physics which applies the mathematics of Lie superalgebras to the behaviour of bosons and fermions.

Supermathematics is the branch of mathematical physics which applies the mathematics of Lie superalgebras to the behaviour of bosons and fermions.

Theory of sonics

The theory of sonics is a branch of continuum mechanics which describes the transmission of mechanical energy through vibrations.

The theory of sonics is a branch of continuum mechanics which describes the transmission of mechanical energy through vibrations.

Three-phase traffic theory

Three-phase traffic theory is an alternative theory of traffic flow developed by Boris Kerner between 1996 and 2002.

Three-phase traffic theory is an alternative theory of traffic flow developed by Boris Kerner between 1996 and 2002.

Toda oscillator

In physics, the Toda oscillator is a special kind of nonlinear oscillator.

In physics, the Toda oscillator is a special kind of nonlinear oscillator.

Tractrix

Tractrix (from the Latin verb trahere "pull, drag"; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by ...

Tractrix (from the Latin verb trahere "pull, drag"; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by ...

Traffic flow

In mathematics and civil engineering, traffic flow is the study of interactions between vehicles, drivers, and infrastructure (including highways, signage, and traffic control devices), with the...

In mathematics and civil engineering, traffic flow is the study of interactions between vehicles, drivers, and infrastructure (including highways, signage, and traffic control devices), with the...

Twistor correspondence

In mathematical physics, the twistor correspondence is a natural isomorphism between massless Yang-Mills fields on Minkowski space and sheaf cohomology classes on a real hypersurface of CP...

In mathematical physics, the twistor correspondence is a natural isomorphism between massless Yang-Mills fields on Minkowski space and sheaf cohomology classes on a real hypersurface of CP...

Two-body Dirac equations

In quantum field theory, and in the significant subfields of quantum electrodynamics and quantum chromodynamics, the two-body Dirac equations (TBDE) of constraint dynamics provide a three-dimens...

In quantum field theory, and in the significant subfields of quantum electrodynamics and quantum chromodynamics, the two-body Dirac equations (TBDE) of constraint dynamics provide a three-dimens...

Uncertainty principle

In quantum mechanics, the uncertainty principle is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of...

In quantum mechanics, the uncertainty principle is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of...

Wehrl entropy

In quantum information theory, the Wehrl entropy, named after A. Wehrl, is a type of quasi-entropy defined for the Husimi Q representation of the phase-space quasiprobability distribution.

In quantum information theory, the Wehrl entropy, named after A. Wehrl, is a type of quasi-entropy defined for the Husimi Q representation of the phase-space quasiprobability distribution.

Weingarten function

In mathematics, Weingarten functions are rational functions indexed by partitions of integers that can be used to calculate integrals of products of matrix coefficients over classical groups.

In mathematics, Weingarten functions are rational functions indexed by partitions of integers that can be used to calculate integrals of products of matrix coefficients over classical groups.

Werner Nahm

Werner Nahm (born 21 March 1949 in Münster (Selters), Germany) is a German theoretical physicist, with the status of professor.

Werner Nahm (born 21 March 1949 in Münster (Selters), Germany) is a German theoretical physicist, with the status of professor.

Wess-Zumino-Witten model

In theoretical physics and mathematics, the Wess–Zumino–Witten (WZW) model, also called the Wess–Zumino–Novikov–Witten model, is a simple model of conformal field theory whose solutions ar...

In theoretical physics and mathematics, the Wess–Zumino–Witten (WZW) model, also called the Wess–Zumino–Novikov–Witten model, is a simple model of conformal field theory whose solutions ar...

Weyl quantization

In quantum mechanics, the Wigner–Weyl transform or Weyl-Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in t...

In quantum mechanics, the Wigner–Weyl transform or Weyl-Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in t...

Wiener sausage

In the mathematical field of probability, the Wiener sausage is a neighborhood of the trace of a Brownian motion up to a time t, given by taking all points within a fixed distance of Browni...

In the mathematical field of probability, the Wiener sausage is a neighborhood of the trace of a Brownian motion up to a time t, given by taking all points within a fixed distance of Browni...

Wigner quasi-probability distribution

The Wigner quasi-probability distribution is a quasi-probability distribution.

The Wigner quasi-probability distribution is a quasi-probability distribution.

Wigner quasiprobability distribution

The Wigner quasi-probability distribution (also called the Wigner function or the Wigner–Ville distribution) is a quasi-probability distribution.

The Wigner quasi-probability distribution (also called the Wigner function or the Wigner–Ville distribution) is a quasi-probability distribution.

Wigner-Weyl transform

In quantum mechanics, the Wigner–Weyl transform or Weyl-Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in t...

In quantum mechanics, the Wigner–Weyl transform or Weyl-Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in t...