Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems

DOI10.1088/1751-8113/43/18/185204zbMath1187.81151arXiv1002.0677OpenAlexW3098031437MaRDI QIDQ3560306

Wen-Li Yang, Yuan-Harng Lee, Yao-Zhong Zhang

Publication date: 19 May 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0677

zbMATH Keywords

Bethe ansatzquantum opticsDiracexactly solvable modelsoperator algebra methodsquantum equilibrium statistical mechanics (general)commutation relations and statisticsclosed and approximate solutions to the SchrödingerKlein-Gordon and other quantum-mechanical equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Lasers, masers, optical bistability, nonlinear optics (78A60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15) Special quantum systems, such as solvable systems (81Q80)

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