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(Unpublished)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