Canonical transformations in three-dimensional phase-space

Date
2009
Authors
Dereli, T.
Teǧmen, A.
Hakioǧlu T.
Advisor
Instructor
Source Title
International Journal of Modern Physics A
Print ISSN
0217751X
Electronic ISSN
Publisher
Volume
24
Issue
25-26
Pages
4769 - 4788
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
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.

Course
Other identifiers
Book Title
Keywords
Canonical transformations, Nambu mechanics
Citation
Published Version (Please cite this version)