Template:Integrable systems: Difference between revisions

Revision as of 14:03, 3 May 2023

Geometric integrability

In classical mechanics

Examples	Harmonic oscillator Central force systems Kepler system Two body problem Integrable tops Euler Kovalevskaya Lagrange Garnier integrable system Hitchin system
Theory	Liouville–Arnold theorem Action-angle variables Superintegrable Hamiltonian system

In quantum mechanics

Integrable PDEs/Classical integrable field theories

Examples	KdV equation Sine-Gordon equation Nonlinear Schrödinger equation Gross–Neveu model Thirring model
Theory	Bäcklund transformation Lax pairs Infinitely many integrals of motion Soliton solutions Topological soliton Inverse scattering transform
From ASDYM	Anti-self-dual Yang–Mills equations Twistor correspondence

Integrable Quantum Field theories

Exactly solvable statistical lattice models

Exactly solvable quantum spin chains

Examples	Quantum Heisenberg model Gaudin model
Theory	Algebraic Bethe ansatz Quantum inverse scattering method Yang–Baxter equation

Contributors

Classical mechanics and geometry	Vladimir Arnold Ferdinand Georg Frobenius Joseph Liouville Nigel Hitchin
PDEs	Martin David Kruskal Clifford S. Gardner John M. Greene Robert Miura
IQFTs	Alexander Zamolodchikov Alexei Zamolodchikov
Classical and quantum statistical lattices	Rodney Baxter Ludvig Faddeev Elliott H. Lieb Yang Chen-Ning

Anonymous