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

Omote, M.; Sakoda, S.; Kamefuchi, S.

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

Authors

Omote, M.

Sakoda, S.

Kamefuchi, S.

Description

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.
26 pages, RevTeX(preprint+\tightenlines)