Titre : |
Développement et traitement de certains problèmes de mécanique quantique. |
Type de document : |
texte imprimé |
Auteurs : |
Ilyas Haouam, Auteur ; Lyazid Chetouani, Auteur |
Editeur : |
جامعة الإخوة منتوري قسنطينة |
Année de publication : |
2019 |
Importance : |
104 f. |
Format : |
30 cm. |
Note générale : |
Doctorat 3éme CYCLE LMD.
1 copies imprimées disponibles
|
Langues : |
Français (fre) |
Catégories : |
Français - Anglais Physique
|
Tags : |
physique: Physique theorique Limite non relativiste équation de Schrödinger-Pauli équation de Dirac équation de DKP équation de Fisk-Tait représentation de Holstein-Primako la transformation de Foldy-Wouthuysen la méthode des invariantes de Lewis-Riesenfeld espace de phase
non-commutatif potentiel non-local produit star transformation de décalage-Bopp Non-relativistic limit Schrödinger-Pauli equation Dirac equation DKP
equation Fisk-Tait equation Holstein-Primako representation Foldy-Wouthuysen transformation Lewis-Riesenfeld invariant method non-commutative phase-space non-local potential Moyal-Weyl product Bopp-shift transformation الحد اللانسبی معادلة شرودينغر - باولي معادلة ديراك معادلة ديكابي معادلة فيسك - تایت تحويل فولدي - وثايزن طريقة الثابت ل لويس - رايزنفيلد فضاء الأطوار اللاتبادلي كمون غير محلي جداء مویال - وایل تحويل تغير بوب تمثيل هوليستن - بريمکاوف |
Index. décimale : |
530 Physique |
Résumé : |
The Schrödinger equation in interaction with local and non-local potentials in non commutative phase-space has been studied, the corresponding continuity equation has also been extracted in both types of phase-space, where, it has been found that the non-commutativity is not suitable for describing the current density, where this current density has been modi- ed to solve this problem. Also the Klein-Gordon, Dirac, DKP and Fisk-Tait equations have been studied in non-commutative phase space, where the Dirac equation in non-commutative time-dependent phase-space has been solved through the Lewis-Riesenfeld invariant method, and for the Fisk-Tait equation, it has been found that non-commutativity does not make the total charge obtained from the probability density de ned, in addition the correspondence between fermions and bosons in the Fock space has been shown using the Holstein-Primako representation. The non-relativistic limit of the Dirac and DKP equations in interaction with an electromagnetic eld in non-commutative phase-space was examined, the e ect of the noncommutativity on the non-relativistic limit was made according to two methods , the method of transformation of Foldy-Wouthuysen and approach of the big and small components
of the wave function, these led to obtain the non-commutative non-relativistic equation of Schrödinger-Pauli.
|
Note de contenu : |
-Article 1:Continuity Equation in Presence of a Non-Local Potential in Non-Commutative Phase-Space. Ilyas Haouam.
-Article 2:The Non-Relativistic Limit of the DKP Equation in Non-Commutative Phase-Space. Ilyas Haouam
|
Diplôme : |
Doctorat |
En ligne : |
../theses/physique/HAO7528.pdf |
Format de la ressource électronique : |
pdf |
Permalink : |
index.php?lvl=notice_display&id=11140 |
Développement et traitement de certains problèmes de mécanique quantique. [texte imprimé] / Ilyas Haouam, Auteur ; Lyazid Chetouani, Auteur . - جامعة الإخوة منتوري قسنطينة, 2019 . - 104 f. ; 30 cm. Doctorat 3éme CYCLE LMD.
1 copies imprimées disponibles
Langues : Français ( fre)
Catégories : |
Français - Anglais Physique
|
Tags : |
physique: Physique theorique Limite non relativiste équation de Schrödinger-Pauli équation de Dirac équation de DKP équation de Fisk-Tait représentation de Holstein-Primako la transformation de Foldy-Wouthuysen la méthode des invariantes de Lewis-Riesenfeld espace de phase
non-commutatif potentiel non-local produit star transformation de décalage-Bopp Non-relativistic limit Schrödinger-Pauli equation Dirac equation DKP
equation Fisk-Tait equation Holstein-Primako representation Foldy-Wouthuysen transformation Lewis-Riesenfeld invariant method non-commutative phase-space non-local potential Moyal-Weyl product Bopp-shift transformation الحد اللانسبی معادلة شرودينغر - باولي معادلة ديراك معادلة ديكابي معادلة فيسك - تایت تحويل فولدي - وثايزن طريقة الثابت ل لويس - رايزنفيلد فضاء الأطوار اللاتبادلي كمون غير محلي جداء مویال - وایل تحويل تغير بوب تمثيل هوليستن - بريمکاوف |
Index. décimale : |
530 Physique |
Résumé : |
The Schrödinger equation in interaction with local and non-local potentials in non commutative phase-space has been studied, the corresponding continuity equation has also been extracted in both types of phase-space, where, it has been found that the non-commutativity is not suitable for describing the current density, where this current density has been modi- ed to solve this problem. Also the Klein-Gordon, Dirac, DKP and Fisk-Tait equations have been studied in non-commutative phase space, where the Dirac equation in non-commutative time-dependent phase-space has been solved through the Lewis-Riesenfeld invariant method, and for the Fisk-Tait equation, it has been found that non-commutativity does not make the total charge obtained from the probability density de ned, in addition the correspondence between fermions and bosons in the Fock space has been shown using the Holstein-Primako representation. The non-relativistic limit of the Dirac and DKP equations in interaction with an electromagnetic eld in non-commutative phase-space was examined, the e ect of the noncommutativity on the non-relativistic limit was made according to two methods , the method of transformation of Foldy-Wouthuysen and approach of the big and small components
of the wave function, these led to obtain the non-commutative non-relativistic equation of Schrödinger-Pauli.
|
Note de contenu : |
-Article 1:Continuity Equation in Presence of a Non-Local Potential in Non-Commutative Phase-Space. Ilyas Haouam.
-Article 2:The Non-Relativistic Limit of the DKP Equation in Non-Commutative Phase-Space. Ilyas Haouam
|
Diplôme : |
Doctorat |
En ligne : |
../theses/physique/HAO7528.pdf |
Format de la ressource électronique : |
pdf |
Permalink : |
index.php?lvl=notice_display&id=11140 |
|