Canonical transformations in three-dimensional phase-space
Author
Dereli, T.
Teǧmen, A.
Hakioǧlu T.
Date
2009Source Title
International Journal of Modern Physics A
Print ISSN
0217751X
Volume
24
Issue
25-26
Pages
4769 - 4788
Language
English
Type
ArticleItem Usage Stats
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Abstract
Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one. © 2009 World Scientific Publishing Company.