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Completely integrable classical systems connected with semisimple lie algebras

โœ Scribed by M. A. Olshanetsky; A. M. Perelomov

Publisher
Springer
Year
1976
Tongue
English
Weight
250 KB
Volume
1
Category
Article
ISSN
0377-9017

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๐Ÿ“œ SIMILAR VOLUMES

Quantum completely integrable systems co
Quantum completely integrable systems connected with semi-simple Lie algebras
โœ M. A. Olshanetsky; A. M. Perelomov ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Springer ๐ŸŒ English โš– 322 KB

The quantum version of the dynamical systems whose integrability is related to the root systems of semi-simple Lie algebras are considered. It is proved that the operators fk introduced by Calogero et al. are integrals of motion and that they commute. The explicit form of another class of integrals

Extension of the class of integrable dyn
Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
โœ V. I. Inozemtsev; D. V. Meshcheryakov ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer ๐ŸŒ English โš– 215 KB

A new class is found of completely integrable systems connected with semisimple Lie algebras. This class generalizes most of the previously-considered integrable systems describing a one-dimensional motion of interacting particles.