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    Analytic representations with theta functions for systems on ℤ(d) and on 𝕊.

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    Publication date
    2015-07-28
    Author
    Evangelides, Pavlos
    Lei, Ci
    Vourdas, Apostolos
    Keyword
    Quantum mechanics; Analytic representation; Theta functions; Variables in ℤ(d) and 𝕊; Wigner functions; Weyl functions
    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.
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    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.
    URI
    http://hdl.handle.net/10454/7644
    Version
    Accepted Manuscript
    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.
    Link to publisher’s version
    http://dx.doi.org/10.1063/1.4927256
    Type
    Article
    Collections
    Engineering and Informatics Publications

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