Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics

Details Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics

1999-04-04

arxiv.org/abs/quant-ph/9904012v2

Can.J.Phys. 77 (1999) 411-425

Physics

Quantum Physics

12 pages, no figures, REVTeX; Notes added

Scientific paper

10.1139/cjp-77-6-411

Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. The phase-space picture of quantum mechanics is discussed in connection with the present theory.

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