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 [Tesi di dottorato] (Unpublished)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
Language: English
Title: Application of the Weyl-Wigner formalism of noncommutative geometry
Creators:
CreatorsEmail
Zampini, AlessandroUNSPECIFIED
Date: 2005
Date Type: Publication
Number of Pages: 102
Institution: Università degli Studi di Napoli Federico II
Department: Scienze fisiche
PHD name: Fisica fondamentale ed applicata
PHD cycle: 17
PHD Coordinator:
nameemail
Tagliacozzo, ArturoUNSPECIFIED
Tutor:
nameemail
Tagliacozzo, ArturoUNSPECIFIED
Date: 2005
Number of Pages: 102
Uncontrolled Keywords: Noncommutative geometry, Weyl-Wigner formalism, Fuzzy disc
MIUR S.S.D.: 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
URI: http://www.fedoa.unina.it/id/eprint/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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