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      Canonical transformations in three-dimensional phase-space

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      Author(s)
      Dereli, T.
      Teǧmen, A.
      Hakioǧlu T.
      Date
      2009
      Source Title
      International Journal of Modern Physics A
      Print ISSN
      0217751X
      Volume
      24
      Issue
      25-26
      Pages
      4769 - 4788
      Language
      English
      Type
      Article
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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.
      Keywords
      Canonical transformations
      Nambu mechanics
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      http://hdl.handle.net/11693/22588
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      • Department of Physics 2397
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