Polynomial Lie algebras in solving a class of integrable models of quantum optics: Exact methods and quasiclassics

DOI10.1023/A:1021653121978zbMath0942.81072OpenAlexW1676669583MaRDI QIDQ1574925

Valery P. Karassiov

Publication date: 14 August 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021653121978

zbMATH Keywords

Hilbert spacesintegrable quantum-optical modelsinvariant Hamiltonianspolynomial Lie algebras

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum optics (81V80) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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