Canonical transformations in three-dimensional phase space
Date
2009
Authors
Dereli, T.
Teğmen, A.
Hakioğlu, T.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
International Journal of Mo dern Physics A
Print ISSN
0217-9792
Electronic ISSN
0218-3013
Publisher
World Scientific Publishing Company
Volume
24
Issue
25n26
Pages
4769 - 4788
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
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 as 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 is listed. Infinitesimal canonical transformations are also discussed. Finally, we show that decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.