Path Integral Formalism of Klein-Gordon Oscillator Particle in Non-Commutative Phase Space

Hadjira Benzair

doi:10.12816/0039171

Article Details

Path Integral Formalism of Klein-Gordon Oscillator Particle in Non-Commutative Phase Space

Authors:

Hadjira Benzair

Publisher:

Kasdi Merbah University of Ouargla

Main Topics:

Mathematics

Journal:

Ḥawliyāt al-ʻUlūm wa-al-Tiknūlūjiyā 2014 Vol.6 Issue 2, pp.89-93

Document Type:

Article

Publication Date:

10/2014

Document Language:

English

Document ID (Org No.):

106172

Frequency:

Bi-Annual

pISSN:

21700672

DOI:

10.12816/0039171

Descriptors:

Keywords:

Abstract:

 Dans l'espace des phases non-commutative basé sur l’introduction des paramètres de déformations dans les relations de Heisenberg connues, nous allons utiliser la méthode d'intégrale de chemin pour construire de solution exacte de la fonction de Green associée au problème de l'oscillateur de Klein-Gordon. On va clarifier que, les expressions de spectre d’énergie et la fonction d’onde correspondant sont similaires au problème d’une particule de Klein-Gordon soumise à un champ magnétique constant dans l’espace des phases ordinaire. Les cas limites sont déduits pour les petits paramètres de déformations.

 In the non-commutative phase space based on introducing the parameters of deformation in the Heisenberg’s known relations, we shall use the path integral method for constructing exact solutions to Green’s function which is associated with the Klein-Gordon’s oscillator problem. Then, we shall clarify the expressions of energy spectrum and the wave function corresponding are similar to the problem of Klein-Gordon particle under a constant magnetic field in ordinary phase space. The limit cases are then deduced from small parameters of deformations.

Article Details

Path Integral Formalism of Klein-Gordon Oscillator Particle in Non-Commutative Phase Space

Authors:

Hadjira Benzair

Publisher:

Kasdi Merbah University of Ouargla

Main Topics:

Mathematics

Journal:

Ḥawliyāt al-ʻUlūm wa-al-Tiknūlūjiyā 2014 Vol.6 Issue 2, pp.89-93

Document Type:

Article

Publication Date:

10/2014

Document Language:

English

Document ID (Org No.):

106172

Frequency:

Bi-Annual

pISSN:

21700672

DOI:

10.12816/0039171

Descriptors:

SPACES (MATHEMATICS)

FUNCTIONS

TRAJECTORS

VIBRATIONAL SPECTROSCOPY

ENERGY

PARTICLES

Path Integral

The Green Function

Klein-Gordon Particle

The Non-Commutative Phase Space

Intégrale de Chemin

La Fonction de Green

Particule de Klein-Gordon

l'Espace des Phases Non-Commutative

Issues

Article Details

Authors: Hadjira Benzair

Publisher: Kasdi Merbah University of Ouargla

Main Topics: Mathematics

Journal: Ḥawliyāt al-ʻUlūm wa-al-Tiknūlūjiyā 2014 Vol.6 Issue 2, pp.89-93

Document Type: Article

Publication Date: 10/2014

Document Language: English

Document ID (Org No.): 106172

Frequency: Bi-Annual

pISSN: 21700672

DOI: 10.12816/0039171

Descriptors:

Issues

Authors:

Hadjira Benzair

Publisher:

Kasdi Merbah University of Ouargla

Main Topics:

Mathematics

Journal:

Ḥawliyāt al-ʻUlūm wa-al-Tiknūlūjiyā 2014 Vol.6 Issue 2, pp.89-93

Document Type:

Article

Publication Date:

10/2014

Document Language:

English

Document ID (Org No.):

106172

Frequency:

Bi-Annual

pISSN:

21700672

DOI:

10.12816/0039171