Applications of the Weyl-Wigner formalism to noncommutative geometry
| dc.creator | Zampini, Alessandro | |
| dc.date | 2005-05-31 | |
| dc.date.accessioned | 2026-07-07T04:18:22Z | |
| dc.date.available | 2026-07-07T04:18:22Z | |
| dc.description | In this dissertation the Weyl-Wigner approach is presented as a map between functions on a real cartesian symplectic vector space and a set of operators on a Hilbert space, to analyse some aspects of the relations between quantum and classical formalism, both as a quantization, and as a classical limit. It is presented an extension of this formalism to the case of a more general classical phase space, namely one whose configuration space is a compact simple Lie group. In the second part, it is used to develop a fuzzy approximation to the algebra of functions on a disc. This is the first example of a fuzzy space originating from a classical space which has a boundary. It is analysed how this approximation copes the presence of ultraviolet divergences even in noninteracting field theories on a disc. | |
| dc.description | 102 pages, 10 figures, Ph.D. Thesis | |
| dc.identifier | https://arxiv.org/abs/hep-th/0505271 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0505271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53150 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Applications of the Weyl-Wigner formalism to noncommutative geometry | |
| dc.type | text |