Analytic representations with theta functions for systems on ℤ(d) and on 𝕊.
dc.contributor.author | Evangelides, Pavlos | * |
dc.contributor.author | Lei, Ci | * |
dc.contributor.author | Vourdas, Apostolos | * |
dc.date.accessioned | 2016-01-07T10:11:36Z | |
dc.date.available | 2016-01-07T10:11:36Z | |
dc.date.issued | 2015-07-28 | |
dc.identifier.citation | 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. | en_US |
dc.identifier.uri | http://hdl.handle.net/10454/7644 | |
dc.description | yes | en_US |
dc.description.abstract | An 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.iso | en | en_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.subject | Quantum mechanics; Analytic representation; Theta functions; Variables in ℤ(d) and 𝕊; Wigner functions; Weyl functions | en_US |
dc.title | Analytic representations with theta functions for systems on ℤ(d) and on 𝕊. | en_US |
dc.status.refereed | yes | en_US |
dc.date.Accepted | 2015-07-13 | |
dc.type | Article | en_US |
dc.type.version | Accepted Manuscript | en_US |
dc.identifier.doi | https://doi.org/10.1063/1.4927256 | |
refterms.dateFOA | 2018-07-25T13:53:21Z |