Analytic representations with theta functions for systems on ℤ(d) and on 𝕊.
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2015-07-28Keyword
Quantum mechanicsAnalytic representation
Theta functions
Variables in ℤ(d) and 𝕊
Wigner functions
Weyl functions
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© 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.Peer-Reviewed
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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.Version
Accepted manuscriptCitation
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.Link to Version of Record
https://doi.org/10.1063/1.4927256Type
Articleae974a485f413a2113503eed53cd6c53
https://doi.org/10.1063/1.4927256