On the validity of Hamilton‐Jacobi mechanics in the mean in quantum mechanics

W. J. Taylor*, R. D. Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

It is shown that under certain conditions the time‐dependent Hamilton–Jacobi equation (TDHJE) is satisfied in the mean in quantum mechanics provided the classical action is replaced by Dirac's complex quantal action. This may be regarded as the equivalent of Ehrenfest's theorem for the TDHJE. Expectation values of operators are discussed in a similar manner.

Original languageEnglish
Pages (from-to)449-453
Number of pages5
JournalInternational Journal of Quantum Chemistry
Volume6
Issue number3
DOIs
StatePublished - May 1972
Externally publishedYes

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