Zampini, Alessandro
(2005)
Application of the Weyl-Wigner formalism of noncommutative geometry.
[Tesi di dottorato]
(Inedito)
Tipologia del documento: |
Tesi di dottorato
|
Lingua: |
English |
Titolo: |
Application of the Weyl-Wigner formalism of noncommutative geometry |
Autori: |
Autore | Email |
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Zampini, Alessandro | [non definito] |
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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 |
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Tagliacozzo, Arturo | [non definito] |
|
Tutor: |
nome | email |
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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) |
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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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