Some quantum integrable finite-dimensional systems related to Lie algebras are
considered. This review continues the previous review of the same authors [83] devoted to …

A superintegrable system is, roughly speaking, a system that allows more integrals of motion
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …

The general properties of the factorized S-matrix in two-dimensional space-time are
considered. The relation between the factorization property of the scattering theory and the …

This invaluable book provides a broad introduction to the fascinating and beautiful subject of
many-body quantum systems that can be solved exactly. The subject began with Bethe's …

Integrable Hamiltonian systems have been of growing interest over the past 30 years and
represent one of the most intriguing and mysterious classes of dynamical systems. This book …

During the last few years many dynamical systems have been identified, that are completely
integrable or even such to allow an explicit solution of the equations of motion. Some of …

This review is an expository treatment of the displacement of one fluid by another in a two-
dimensional geometry (a Hele-Shaw cell). The Saffman-Taylor equations modeling this …

Poincaré-invariant generalizations of the Galilei-invariant Calogero-Moser N-particle
systems are studied. A quantization of the classical integrals S 1,..., SN is presented such …

We present and study a class of finite-dimensional integrable systems that may be viewed
as relativistic generalizations of the Calogero-Moser systems. For special values of the …

We discuss the direct methods that can be used to search for the second invariant of a
system defined by the Hamiltonian H= 1 2 (px 2)+ py 2+ A (x, y) p x+ B (x, y) p y+ V (x, y). We …