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Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them
dc.creator | Davidović, Ljubica | |
dc.creator | Arsenović, Dušan | |
dc.creator | Davidović, Milena D. | |
dc.creator | Davidović, Dragomir M. | |
dc.date.accessioned | 2018-03-01T20:48:09Z | |
dc.date.available | 2018-03-01T20:48:09Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 1751-8113 | |
dc.identifier.uri | https://vinar.vin.bg.ac.rs/handle/123456789/3706 | |
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 | Ministry of Science and Environment Protection of the Republic of Serbia [141041G, 141003, 141036] | |
dc.rights | restrictedAccess | en |
dc.source | Journal of Physics. A: Mathematical and Theoretical | en |
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 | en |
dcterms.abstract | Давидовиц, Драгомир М.; Давидовиц, Љубица; Aрсеновиц, Дусан; Давидовиц, Милена; | |
dc.citation.volume | 42 | |
dc.citation.issue | 23 | |
dc.identifier.wos | 000266287500011 | |
dc.identifier.doi | 10.1088/1751-8113/42/23/235302 | |
dc.citation.other | Article Number: 235302 | |
dc.citation.rank | M22 | |
dc.identifier.scopus | 2-s2.0-70449506537 |
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