Non-oscillating solutions to uncoupled Ermakov systems and the semi-classical limit

DOI10.1088/0305-4470/34/38/309zbMath0996.81025arXivquant-ph/0106092OpenAlexW3101531503MaRDI QIDQ2766279

Alexandre Matzkin

Publication date: 27 January 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0106092

zbMATH Keywords

semi-classical limitamplitude-phase formulation of the Schrödinger equation

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) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (3)

On the time-dependent oscillator and the nonlinear realizations of the Virasoro group ⋮ Bohr-Sommerfeld quantization condition for Dirac states derived from an Ermakov-type invariant ⋮ Radial action-phase quantization in Bose-Einstein condensates

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