Yes / 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.
Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/7644 |
Date | 13 July 2015 |
Creators | Evangelides, Pavlos, Lei, Ci, Vourdas, Apostolos |
Source Sets | Bradford Scholars |
Language | English |
Detected Language | English |
Type | Article, Accepted manuscript |
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., Unspecified |
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