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Classical and Quantum Behavior of Genaralized Oscillators - action variable, angle variable and quantum phase -

2001/06/14 by M. Omote, Omote, M., Shotaro Sakoda +4
Engineering · Physics and Astronomy · #Geophysics and Sensor Technology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0106115

26 pages, RevTeX(preprint+\tightenlines)

arxiv created 2001/06/14 · arxiv updated 2009/11/30

Abstract

The relation that exists in quantum mechanics among action variables, angle variables and the phases of quantum states is clarified, by referring to the system of a generalized oscillator. As a by-product, quantum-mechanical meaning of the classical Hamilton-Jacobi equation and related matters is clarified, where a new picture of quantum mechanics is introduced, to be called the Hamilton-Jacobi picture.

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