Category

Exactly solvable models

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atom of element hydrogen

particle in a box

physical model in quantum mechanics which is analytically solvable

mathematical model of ferromagnetism in statistical mechanics

Korteweg–De Vries equation

integrable partial differential equation of a function u(t,x): uₜ + uₓₓₓ = 6uuₓ

exactly solvable model of coupled oscillators

Kadomtsev–Petviashvili equation

PDE to describe nonlinear wave motion

Arnold's cat map

chaotic map from the torus into itself

Delta potential

model of an energy potential in quantum mechanics

nonlinear Schrödinger equation

nonlinear variation of the Schrödinger equation

sine–Gordon equation

nonlinear hyperbolic partial differential equation in 1 + 1 dimensions

topological quantum number

physical quantities that take discrete values because of topological quantum physical effects

Wess–Zumino–Witten model

type of 2D conformal field theory

finite potential well

quantum mechanics concept

Woods–Saxon potential

Measure of internal forces in an atomic nucleus

Yang–Baxter equation

consistency equation which was first introduced in the field of statistical mechanics

Matrices satisfying a differential equation

Geometric construct

model in statistical mechanics generalizing the Ising model

Boolean network

discrete set of boolean variables

chaotic map from the unit square into itself

simple model for a one-dimensional crystal in solid state physics

an ansatz method for finding the exact solutions of certain one-dimensional quantum many-body models

inverse scattering transform

method for solving some non-linear partial differential equations

Schwinger model

quantum electrodynamics in 1+1 dimensions