Mathematical physics

graph whose edges are labelled with irreducible representations of a compact Lie group and whose vertices are associated with intertwiners of the edge representations adjacent to it

method for using scale changes to understand physical theories such as quantum field theories

matrix-valued random variable

Lie group of 3×3 upper triangular matrices under matrix multiplication

complex Lie algebra, the unique central extension of the Witt algebra

award in mathematical physics

set of matrices useful in studying the strong force

characteristic of any structure that is periodic across position in space; measure of how often sinusoidal components (as determined by the Fourier transform) of the structure repeat per unit of distance

In physics, the '''S-matrix or scattering matrix''' is a matrix that relates the initial state and the final state of a physical system undergoing a scattering process. It is used in quantum mechanics, scattering theory and quantum field theory (QFT).

massless boson that must be present in a quantum system with spontaneously broken symmetry

function that maps matrices to matrices

improper integral of sin(𝑥)∕𝑥 from 0 to ∞

thumb|Computed electrostatic equipotentials (black contours) between two electrically charged spheres

relation satisfied by conjugate variables in quantum mechanics

The Wigner distribution function in physics as opposed to in signal processing

formula in Lie theory

variant Fourier transforms

foundational result in symplectic geometry

study of interactions between travellers and infrastructure

field theory of scalar fields

single identifiable localised source of something

class of quantum field theory models

nonlinear hyperbolic partial differential equation in 1 + 1 dimensions

framework to describe phase transitions

theory

first-order differential linear operator on spinor bundle, whose square is the Laplacian

learned society

type of 2D conformal field theory

relativistic wave equation describing the propagation of a free spin 1½ particle

Riemannian or pseudo-Riemannian differentiable manifold whose Ricci tensor is proportional to the metric

setting of relativistic physics in geometric algebra

symplectic topology tool

Technique in mathematics

"Smoothing" integral transform

string theory with a topologically twisted 𝒩=(2,2) sigma-model action on the worldsheet and 6 target-space dimensions

set of mathematical concepts propagating geometric concepts

mathematics inspired by physics

eigenvalue equation for the function composition operator

arbitrary choice for the direction of physical significance of mathematical objects

a swinging pendulum that is also elastic

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mapping between functions in the quantum phase space

integral of a functional over a space of curves

mathematical theory of integral equations

frequency-domain analysis method

Concept in the theory of integral equations

lift of the SO(n) frame bundle of an oriented Riemannian manifold into Spin(n), the spin group

first order nonlinear ordinary differential equation

possible outcome of renormalization in physics

system of partial differential equations whose solutions are stationary with respect to the Yang–Mills action functional

Quantum mechanical potential

classification of irreducible representations of the Poincaré group

formulation of classical mechanics in which one Legendre-transforms some, but not all, of generalized velocities into generalized momenta

object from which field lines are emitted or absorbed

integrable PDE

generalization of Hamiltonian mechanics involving multiple Hamiltonians