Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

doi:10.1088/1674-1056/19/2/020305

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20305-020305.doi: 10.1088/1674-1056/19/2/020305

Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

L Chetouani¹, Y Chargui², ATrabelsi³

(1)Département de Physique Théorique, Institut de Physique, Université de Constantine, Route Ain El Bey, Constantine, Algeria; (2)Unité de Recherche de Physique Nucléaire et des Hautes Energies, Faculté des Sciences de Tunis, 1080 Tunis, Tunisia; (3)Unité de Recherche de Physique Nucléaire et des Hautes Energies, Faculté des Sciences de Tunis, 1080 Tunis, Tunisia;Centre National des Sciences et Technologies Nucléaires, Technopole de Sidi-Thabet 2020, Tunisia

收稿日期:2009-05-27 修回日期:2009-05-27 出版日期:2010-02-15 发布日期:2010-02-15

Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

Y Chargui^a)†, L Chetouani^b), and A Trabelsi^a)c)

^a Unité de Recherche de Physique Nucléaire et des Hautes Energies, Faculté des Sciences de Tunis, 1080 Tunis, Tunisia; ^bDépartement de Physique Théorique, Institut de Physique, Université de Constantine, Route Ain El Bey, Constantine, Algeria; ^cCentre National des Sciences et Technologies Nucléaires, Technopole de Sidi-Thabet 2020, Tunisia

Received:2009-05-27 Revised:2009-05-27 Online:2010-02-15 Published:2010-02-15

摘要/Abstract

摘要： Using the momentum space representation, we solve the Klein--Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained.

Abstract: Using the momentum space representation, we solve the Klein--Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained.

Key words: Klein--Gordon equation, linear potential, minimal length, exact solution

中图分类号: (Relativistic wave equations)

03.65.Pm

03.65.Fd (Algebraic methods) 03.65.Ge (Solutions of wave equations: bound states)

Y Chargui, L Chetouani, ATrabelsi. Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength[J]. 中国物理B, 2010, 19(2): 20305-020305.

Y Chargui, L Chetouani, and A Trabelsi. Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength[J]. Chin. Phys. B, 2010, 19(2): 20305-020305.

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Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

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