The harmonic oscillator in affine quantization / Amira Djemili

Public ISBD 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

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAPH/0645	MAPH/0645	Mémoire	Bibliothéque des sciences	Anglais	Disponible Disponible

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