Zampini, Alessandro (2005) Application of the Weyl-Wigner formalism of noncommutative geometry. [Tesi di dottorato] (Inedito)
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Application of the Weyl-Wigner formalism of noncommutative geometry |
| Autori: | Autore Email Zampini, Alessandro [non definito] |
| Data: | 2005 |
| Tipo di data: | Pubblicazione |
| Numero di pagine: | 102 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Scienze fisiche |
| Dottorato: | Fisica fondamentale ed applicata |
| Ciclo di dottorato: | 17 |
| Coordinatore del Corso di dottorato: | nome email Tagliacozzo, Arturo [non definito] |
| Tutor: | nome email Tagliacozzo, Arturo [non definito] |
| Data: | 2005 |
| Numero di pagine: | 102 |
| Parole chiave: | Noncommutative geometry, Weyl-Wigner formalism, Fuzzy disc |
| Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/07 - Fisica applicata (a beni culturali, ambientali, biologia e medicina) |
| Depositato il: | 01 Ago 2008 |
| Ultima modifica: | 30 Apr 2014 19:22 |
| URI: | http://www.fedoa.unina.it/id/eprint/145 |
| DOI: | 10.6092/UNINA/FEDOA/145 |
Abstract
In this dissertation the Weyl-Wigner approach is presented as a map between funcions on a real cartesian sympletic 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.
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