\(\text{sl}(2)\) variational schemes for solving one class of nonlinear quantum models.

DOI10.1016/S0375-9601(97)00747-0zbMath1044.81590MaRDI QIDQ1966537

Valery P. Karassiov

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

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• An algebraic approach to solving evolution problems in some nonlinear quantum models
• Semiclassical quantization of the evolution operator for a class of optical models
• Factored Product Expansions of Solutions of Nonlinear Differential Equations
• Classical and quantum Liouville dynamics of SU(1,1) coherent states
• G-invariant polynomial extensions of Lie algebras in quantum many-body physics
• Periodic Squeezing in the Tavis-Cummings Model
• Coherence in Spontaneous Radiation Processes

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