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 [Tesi di dottorato] (Unpublished)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
Creators:	Creators Email Zampini, Alessandro UNSPECIFIED
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:	nome email Tagliacozzo, Arturo UNSPECIFIED
Tutor:	nome email Tagliacozzo, Arturo UNSPECIFIED
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
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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