Harman Patil (Editor)

List of integrable models

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This is a list of integrable models as well as classes of integrable models in physics.

Contents

Integrable models in 1+1 dimensions

In classical and quantum field theory:

  • free boson
  • free fermion
  • sine-Gordon model
  • Thirring model
  • sinh-Gordon model
  • Liouville field theory
  • Bullough-Dodd model
  • SS model
  • sausage model
  • Toda field theories
  • O(N)-symmetric non-linear sigma models
  • massless Schwinger model
  • supersymmetric sine-Gordon model
  • supersymmetric sinh-Gordon model
  • conformal minimal models
  • critical Ising model
  • tricritical Ising model
  • 3-state Potts model
  • various perturbations of conformal minimal models
  • superconformal minimal models
  • Wess–Zumino–Witten model
  • Nonlinear Schroedinger equation
  • Korteweg–de Vries equation
  • modified Korteweg-de Vries equation
  • XXX spin chain
  • XXZ spin chain
  • XYZ spin chain
  • 6-vertex model
  • 8-vertex model
  • Kondo Model
  • Anderson impurity model
  • Chiral Gross-Neveu model

    • Integrable models in 2+1 dimensions

  • Ishimori equation
  • Landau–Lifshitz–Gilbert equation

    • In quantum mechanics

  • harmonic oscillator
  • hydrogen atom
  • Hooke's atom (Hookium)
  • Ruijsenaars-Schneider models
  • Calogero-Moser models
  • Inverse square root potential
  • Lambert-W step-potential
  • Multistate Landau–Zener Models

    • References

    List of integrable models Wikipedia
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