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ERIC Number: EJ907129
Record Type: Journal
Publication Date: 2011-Jan
Pages: 25
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0143-0807
Derivation of the Schrodinger Equation from the Hamilton-Jacobi Equation in Feynman's Path Integral Formulation of Quantum Mechanics
Field, J. H.
European Journal of Physics, v32 n1 p63-87 Jan 2011
It is shown how the time-dependent Schrodinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schrodinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton-Jacobi equation, are also reviewed. The derivation of the time-dependent equation is based on an "a priori" assumption equivalent to Feynman's dynamical postulate. De Broglie's concepts of "matter waves" and their phase and group velocities are also critically discussed. (Contains 16 footnotes.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A