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dc.creatorAndreev, Vladimir A.
dc.creatorDavidović, Ljubica D.
dc.creatorDavidović, Milena
dc.creatorDavidović, Milos D.
dc.creatorMan'ko, V. I.
dc.creatorManko, M. A.
dc.date.accessioned2019-04-19T14:22:50Z
dc.date.available2019-04-19T14:22:50Z
dc.date.issued2014
dc.identifier.issn0040-5779
dc.identifier.urihttps://grafar.grf.bg.ac.rs/handle/123456789/645
dc.description.abstractWe propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.en
dc.publisherMaik Nauka Publishing / Springer SBM
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/171031/RS//
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/171028/RS//
dc.relationRussian Foundation for Basic Research 11-02-01269
dc.relationRussian Foundation for Basic Research 10-02-00312
dc.relationRussian Foundation for Basic Research 11-02-00456
dc.rightsrestrictedAccess
dc.sourceTheoretical and Mathematical Physics
dc.subjectquantum mechanicsen
dc.subjectHusimi functionen
dc.subjectWigner functionen
dc.subjectsymplectic tomogramen
dc.subjectscaling transformationen
dc.titleOperator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbolsen
dc.typearticle
dc.rights.licenseARR
dc.citation.epage573
dc.citation.issue2
dc.citation.other179(2): 559-573
dc.citation.rankM23
dc.citation.spage559
dc.citation.volume179
dc.identifier.doi10.1007/s11232-014-0162-1
dc.identifier.scopus2-s2.0-84927604217
dc.identifier.wos000337055200004
dc.type.versionpublishedVersion


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