Classical Expression of Conservation Laws of Generalized Momenta in Quantum Mechanics
Resource
CHINESE JOURNAL OF PHYSICS, VOL. 10 NO. 1
Journal
CHINESE JOURNAL OF PHYSICS
Journal Volume
VOL. 10 NO. 1
Pages
-
Date Issued
1972-04
Date
1972-04
Author(s)
Su, Der-Ruenn
DOI
20060927120028914153
Abstract
In a previous paper. an equation is written down for S=e-iwlfi@ instead
of the energy eigenfunction +, with W being the classical Jacobi W function
solved from the classical Hamilton-Jacobi equation. Coulomb interaction is
illustrated as an application of this equation and the independence of S on
certain generalized coordinate 4 is interpreted as the equality (conservation
law) of its canonical conjugate momentum p both in the classical system
described by W and in the quantum system described by 9. The explicit
dependence on q of 9 can be, thus, easily obtained from W, a classical
function.
Publisher
臺北市:國立臺灣大學物理系所
Type
journal article
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