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dc.contributor.authorEvangelides, Pavlos
dc.contributor.authorLei, Ci
dc.contributor.authorVourdas, Apostolos
dc.date.accessioned2016-01-07T10:11:36Z
dc.date.available2016-01-07T10:11:36Z
dc.date.issued2015-07-28
dc.identifier.citationEvangelides P, Lei C and Vourdas A (2015) Analytic representations with theta functions for systems on ℤ(d) and on 𝕊. Journal of Mathematical Physics, 56(7): 072108.en_US
dc.identifier.urihttp://hdl.handle.net/10454/7644
dc.descriptionyesen_US
dc.description.abstractAn analytic representation with Theta functions on a torus, for systems with variables in ℤ(d), is considered. Another analytic representation with Theta functions on a strip, for systems with positions in a circle S and momenta in Z, is also considered. The reproducing kernel formalism for these two systems is studied. Wigner and Weyl functions in this language, are also studied.en_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttp://dx.doi.org/10.1063/1.4927256en_US
dc.rights© 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Evangelides P, Lei C and Vourdas A (2015) Analytic representations with theta functions for systems on ℤ(d) and on 𝕊. Journal of Mathematical Physics, 56(7): 072108, and may be found at http://dx.doi.org/10.1063/1.4927256.en_US
dc.subjectQuantum mechanics; Analytic representation; Theta functions; Variables in ℤ(d) and 𝕊; Wigner functions; Weyl functionsen_US
dc.titleAnalytic representations with theta functions for systems on ℤ(d) and on 𝕊.en_US
dc.status.refereedyesen_US
dc.date.Accepted2015-07-13
dc.typeArticleen_US
dc.type.versionAccepted Manuscripten_US
refterms.dateFOA2018-07-25T13:53:21Z


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