Quantum canonical transformations in Weyl-Wigner-Groenewold-Moyal formalism

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dc.citation.epage4587en_US
dc.citation.issueNumber24en_US
dc.citation.spage4573en_US
dc.citation.volumeNumber24en_US
dc.contributor.authorDereli, T.en_US
dc.contributor.authorHakioğlu, T.en_US
dc.contributor.authorTeğmen, A.en_US
dc.date.accessioned2016-02-08T10:02:27Z
dc.date.available2016-02-08T10:02:27Z
dc.date.issued2009en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractA conjecture in quantum mechanics states that any quantum canonical transformation can decompose into a sequence of three basic canonical transformations; gauge, point and interchange of coordinates and momenta. It is shown that if one attempts to construct the three basic transformations in star-product form, while gauge and point transformations are immediate in star-exponential form, interchange has no correspondent, but it is possible in an ordinary exponential form. As an alternative approach, it is shown that all three basic transformations can be constructed in the ordinary exponential form and that in some cases this approach provides more useful tools than the star-exponential form in finding the generating function for given canonical transformation or vice versa. It is also shown that transforms of c-number phase space functions under linearnonlinear canonical transformations and intertwining method can be treated within this argument. © 2009 World Scientific Publishing Company.en_US
dc.identifier.doi10.1142/S0217751X09044620en_US
dc.identifier.issn0217-751X
dc.identifier.urihttp://hdl.handle.net/11693/22615
dc.language.isoEnglishen_US
dc.relation.isversionofhttp://dx.doi.org/10.1142/S0217751X09044620en_US
dc.source.titleInternational Journal of Modern Physics Aen_US
dc.subjectCanonical transformationsen_US
dc.subjectMoyal producten_US
dc.titleQuantum canonical transformations in Weyl-Wigner-Groenewold-Moyal formalismen_US
dc.typeArticleen_US
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