Zampini, Alessandro (2005) Application of the Weyl-Wigner formalism of noncommutative geometry. [Tesi di dottorato] (Unpublished)


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Item Type: Tesi di dottorato
Lingua: English
Title: Application of the Weyl-Wigner formalism of noncommutative geometry
Zampini, AlessandroUNSPECIFIED
Date: 2005
Date Type: Publication
Number of Pages: 102
Institution: Università degli Studi di Napoli Federico II
Department: Scienze fisiche
Dottorato: Fisica fondamentale ed applicata
Ciclo di dottorato: 17
Coordinatore del Corso di dottorato:
Tagliacozzo, ArturoUNSPECIFIED
Tagliacozzo, ArturoUNSPECIFIED
Date: 2005
Number of Pages: 102
Uncontrolled Keywords: 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)
Date Deposited: 01 Aug 2008
Last Modified: 30 Apr 2014 19:22
DOI: 10.6092/UNINA/FEDOA/145


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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