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

Evangelides, Pavlos
; 
Lei, Ci
; 
Publication Date
2015-07-28
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Keywords
Quantum mechanics, Analytic 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.
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2015-07-13
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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.
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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.
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https://doi.org/10.1063/1.4927256
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Article
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