List of integrable models
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This is a list of integrable models as well as classes of integrable models in physics.
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
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
See also
- List of quantum-mechanical systems with analytical solutions
- List of some well-known classical integrable systems
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