Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
Quantum Physics
2009-10-31 v2
Abstract
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.
Cite
@article{arxiv.quant-ph/9904012,
title = {Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics},
author = {Jung-Hoon Kim and Hai-Woong Lee},
journal= {arXiv preprint arXiv:quant-ph/9904012},
year = {2009}
}
Comments
12 pages, no figures, REVTeX; Notes added