Invariance proofs for canonical transformations
作者:
M.A. Nerenberg,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1979)
卷期:
Volume 10,
issue 2
页码: 215-219
ISSN:0020-739X
年代: 1979
DOI:10.1080/0020739790100210
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The theory of canonical transformations can be developed without the use of generating functions, and is perhaps to be preferred as this approach is closer to the study of tensor analysis with which most students are familiar. The explicit general condition for a transformation to be canonical is exploited in proving that such transformations have Jacobian +1. As well, invariance properties of certain types of integrals in phase space are proved in a similar manner, all without reference to generating functions.
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