Quantum systems in a d-dimensional Hilbert space are considered, where
the phase spase is Z(d) x Z(d). An analytic representation in a cell S in the
complex plane using Theta functions, is defined. The analytic functions have
exactly d zeros in a cell S. The reproducing kernel plays a central role in
this formalism. Wigner and Weyl functions are also studied.
Quantum systems with positions in a circle S and momenta in Z are also
studied. An analytic representation in a strip A in the complex plane is also
defined. Coherent states on a circle are studied. The reproducing kernel is
given. Wigner and Weyl functions are considered.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/14366 |
| Date | January 2015 |
| Creators | Evangelides, Pavlos |
| Contributors | Vourdas, Apostolos, Lei, Ci |
| Publisher | University of Bradford, Faculty of Engineering and Informatics Department of Computing |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Thesis, doctoral, PhD |
| Rights | <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>. |
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