dc.creator | Davidović, Ljubica D. | |
dc.creator | Arsenović, Dušan | |
dc.creator | Davidović, Milena | |
dc.creator | Davidović, Dragomir M. | |
dc.date.accessioned | 2019-04-19T14:14:24Z | |
dc.date.available | 2019-04-19T14:14:24Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 1751-8113 | |
dc.identifier.uri | https://grafar.grf.bg.ac.rs/handle/123456789/269 | |
dc.description.abstract | Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results. | en |
dc.relation | info:eu-repo/grantAgreement/MESTD/MPN2006-2010/141041/RS// | |
dc.relation | info:eu-repo/grantAgreement/MESTD/MPN2006-2010/141003/RS// | |
dc.relation | info:eu-repo/grantAgreement/MESTD/MPN2006-2010/141036/RS// | |
dc.rights | restrictedAccess | |
dc.source | Journal of Physics A-Mathematical and Theoretical | |
dc.title | Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.issue | 23 | |
dc.citation.other | 42(23): - | |
dc.citation.rank | M22 | |
dc.citation.volume | 42 | |
dc.identifier.doi | 10.1088/1751-8113/42/23/235302 | |
dc.identifier.scopus | 2-s2.0-70449506537 | |
dc.identifier.wos | 000266287500011 | |
dc.type.version | publishedVersion | |