Titre :	The harmonic oscillator in affine quantization
Type de document :	document électronique
Auteurs :	Amira Djemili, Auteur ; Yacine Bouguerra, Directeur de thèse
Editeur :	Setif:UFA
Année de publication :	2024
Importance :	1 vol (38 f.)
Format :	29 cm
Langues :	Anglais (eng)
Catégories :	Thèses & Mémoires:Physique
Mots-clés :	Physique
Index. décimale :	530 - Physique
Résumé :	In this work, we have highlighted the Affine Quantization procedure introduced by J. R. Klauder to better understand this quantification method on non-trivial phase spaces where canonical quantization fails. Such problems may include situations where a non-linear, nontrivial classical model becomes trivial during quantification. Canonical quantization is only successful when applied with coordinates referring to a system of Cartesian axes and not more general curvilinear coordinates. Cartesian coordinates can only exist in flat space. Affine quantization does not claim to replace canonical quantization, but on the contrary, it actually extends similar canonical quantization procedures to solve problems that canonical quantization cannot solve. We explained this quantification procedure for the simple case of a harmonic oscillator on the half-line and verified the Heisenberg uncertainty for the ground state and the first excited state.
Note de contenu :	Sommaire
Côte titre :	MAPH/0645

The harmonic oscillator in affine quantization [document électronique] / Amira Djemili, Auteur ; Yacine Bouguerra, Directeur de thèse . - [S.l.] : Setif:UFA, 2024 . - 1 vol (38 f.) ; 29 cm.
Langues : Anglais (eng)

Catégories :	Thèses & Mémoires:Physique
Mots-clés :	Physique
Index. décimale :	530 - Physique
Résumé :	In this work, we have highlighted the Affine Quantization procedure introduced by J. R. Klauder to better understand this quantification method on non-trivial phase spaces where canonical quantization fails. Such problems may include situations where a non-linear, nontrivial classical model becomes trivial during quantification. Canonical quantization is only successful when applied with coordinates referring to a system of Cartesian axes and not more general curvilinear coordinates. Cartesian coordinates can only exist in flat space. Affine quantization does not claim to replace canonical quantization, but on the contrary, it actually extends similar canonical quantization procedures to solve problems that canonical quantization cannot solve. We explained this quantification procedure for the simple case of a harmonic oscillator on the half-line and verified the Heisenberg uncertainty for the ground state and the first excited state.
Note de contenu :	Sommaire
Côte titre :	MAPH/0645