**A Short Introduction to Classical and Quantum Integrable Systems**

by O. Babelon

2007**Number of pages**: 145

**Description**:

An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.

Download or read it online for free here:

**Download link**

(780KB, PDF)

## Similar books

**Dynamics, Ergodic Theory, and Geometry**

by

**Boris Hasselblatt**-

**Cambridge University Press**

This book contains articles in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; etc.

(

**11301**views)

**Singularities of Transition Processes in Dynamical Systems**

by

**Alexander N. Gorban**-

**American Mathematical Society**

This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables.

(

**5788**views)

**Variational Modelling: Energies, gradient flows, and large deviations**

by

**Mark A. Peletier**-

**arXiv**

The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.

(

**5199**views)

**Hyperbolic Manifolds, Discrete Groups and Ergodic Theory**

by

**Curtis T. McMullen**-

**Harvard University**

Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.

(

**3809**views)