CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE


Dereli T. T. , Tegmen A., Hakioglu T.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.24, ss.4769-4788, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1142/s0217751x09044760
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Sayfa Sayıları: ss.4769-4788

Özet

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.