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

Description

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.

Links & Downloads

1. 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.
2. http://hdl.handle.net/10454/7644
3. https://doi.org/10.1063/1.4927256

Tags

Quantum mechanics

Analytic representation

Theta functions

Variables in ℤ(d) and 𝕊

Wigner functions

Weyl functions

Additional Fields

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