Canonical transformations in three-dimensional phase space

dc.citation.epage4788en_US
dc.citation.issueNumber25n26en_US
dc.citation.spage4769en_US
dc.citation.volumeNumber24en_US
dc.contributor.authorDereli, T.en_US
dc.contributor.authorTeğmen, A.en_US
dc.contributor.authorHakioğlu, T.en_US
dc.date.accessioned2019-02-01T10:20:09Z
dc.date.available2019-02-01T10:20:09Z
dc.date.issued2009en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractAbstract 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.en_US
dc.identifier.doi10.1142/S0217751X09044760en_US
dc.identifier.eissn0218-3013
dc.identifier.issn0217-9792
dc.identifier.urihttp://hdl.handle.net/11693/48708
dc.language.isoEnglishen_US
dc.publisherWorld Scientific Publishing Companyen_US
dc.relation.isversionofhttps://doi.org/10.1142/S0217751X09044760en_US
dc.source.titleInternational Journal of Mo dern Physics Aen_US
dc.titleCanonical transformations in three-dimensional phase spaceen_US
dc.typeArticleen_US

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