Integrable Model Atlas

Start with a system: its equations, parameters, boundary conditions, and the questions it makes possible to answer. The model atlas is organized by mathematical and physical setting, with one primary home for each model or family.

The available records cover the classical harmonic oscillator, finite open Toda chain, periodic spin-½ XXX chain, decaying-line KdV equation and continuous-time TASEP on a finite ring. Each defines its variables, normalization, boundaries and the structure actually established, with links to derivations and learning material.

Integrability and exact solvability have different meanings across these settings. A shared model name does not identify a boundary condition or make its classical, quantum, statistical and stochastic versions interchangeable. The broader categories below describe future coverage as well as available records.