Canonical Transformation Governing Temporal Development in Classical Mechanics
作者:
S. Tani,
期刊:
American Journal of Physics
(AIP Available online 1968)
卷期:
Volume 36,
issue 1
页码: 29-32
ISSN:0002-9505
年代: 1968
DOI:10.1119/1.1974404
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
A simple recursion formula is introduced for the derivation of the generating function of the canonical transformation in classical mechanics in the form of a power series int, where the transformation relates a variable at the timetwith its initial value given att = 0. A discussion is given of the relationship of this approach to the Hamilton-Jacobi differential equation, with emphasis on the comparison of the formal aspects of classical and quantum mechanics.
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