✦ LIBER ✦

Quantum completely integrable systems connected with semi-simple Lie algebras

✍ Scribed by M. A. Olshanetsky; A. M. Perelomov

Publisher: Springer
Year: 1977
Tongue: English
Weight: 322 KB
Volume: 2
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420664

No coin nor oath required. For personal study only.

✦ Synopsis

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 of motion is given for systems with few degrees of freedom.

📜 SIMILAR VOLUMES

Completely integrable classical systems

Completely integrable classical systems connected with semisimple lie algebras

✍ M. A. Olshanetsky; A. M. Perelomov 📂 Article 📅 1976 🏛 Springer 🌐 English ⚖ 250 KB

Completely integrable Hamiltonian system

Completely integrable Hamiltonian systems connected with semisimple Lie algebras

✍ M. A. Olshanetsky; A. M. Perelomov 📂 Article 📅 1976 🏛 Springer-Verlag 🌐 English ⚖ 627 KB

Completely integrable classical systems

Completely integrable classical systems connected with semisimple Lie Algebras, III

✍ A. M. Perelomov 📂 Article 📅 1977 🏛 Springer 🌐 English ⚖ 133 KB

Extension of the class of integrable dyn

Extension of the class of integrable dynamical systems connected with semisimple Lie algebras

✍ V. I. Inozemtsev; D. V. Meshcheryakov 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 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.