Separation of variables treatment of the invariant quadratic in momentum for any admissible potential

DOI10.1006/aphy.1998.5798zbMath0923.35142OpenAlexW2025227409MaRDI QIDQ1283159

Zhiyu Gu, Shangwu Qian, Guo Qiang Xie

Publication date: 25 October 1999

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

Full work available at URL: https://doi.org/10.1006/aphy.1998.5798

zbMATH Keywords

eigenfunctionsperturbed harmonic oscillatorinvariant operatorLewis-Riesenfeld phase

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (1)

Perturbed Landau system and non-adiabatic Berry's phase in two dimensions

Cites Work

• Separation of variables treatment of the time-dependent damped harmonic oscillator with an arbitrary varying mass and with a force quadratic in the velocity under the action of an arbitrary time-varying force
• Ermakov systems, exact solution, and geometrical angles and phases
• A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
• Exact Quantization Conditions. II

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