List of integrable models
- List of integrable models
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
Integrable models in 2+1 dimensions
* Ishimori equation
* Landau-Lifshitz equation
In quantum mechanics
*harmonic oscillator
*hydrogen atom
*Ruijsenaars-Schneider models
*Calogero-Moser models
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