| Exact solution of the one-dimensional Klein-Gordon equation with scalar and vector linear potentials in the presence of a minimal length |
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| 引用本文： | 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 minimal length[J]. 中国物理 B, 2010, 19(2): 20305-020305 |
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| 作者姓名： | Y Chargui L Chetouani ATrabelsi |
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| 作者单位： | Unité de Recherche de Physique Nucléaire et des HautesEnergies, Faculté des Sciences de Tunis, 1080 Tunis,Tunisia;Département de Physique Théorique, Institut de Physique,Université de Constantine, Route Ain El Bey, Constantine,Algeria;Unité de Recherche de Physique Nucléaire et des HautesEnergies, Faculté des Sciences de Tunis, 1080 Tunis,Tunisia;Centre National des Sciences et Technologies Nucléaires,Technopole de Sidi-Thabet 2020, Tunisia |
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| 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.
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| 关 键 词： | Klein-Gordon equation linear potential minimal length exact solution |
| 收稿时间： | 2009-05-27 |
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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| Y Chargui,L Chetouani and ATrabelsi. Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength[J]. Chinese Physics B, 2010, 19(2): 20305-020305 |
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| Authors: | Y Chargui L Chetouani ATrabelsi |
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| Affiliation: | Département de Physique Théorique, Institut de Physique,Université de Constantine, Route Ain El Bey, Constantine,Algeria; Unité de Recherche de Physique Nucléaire et des HautesEnergies, Faculté des Sciences de Tunis, 1080 Tunis,Tunisia; Unité de Recherche de Physique Nucléaire et des HautesEnergies, Faculté des Sciences de Tunis, 1080 Tunis,Tunisia;Centre National des Sciences et Technologies Nucléaires,Technopole de Sidi-Thabet 2020, Tunisia |
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| Abstract: | Using the momentum space representation, we solve theKlein--Gordon equation in one spatial dimension for the case of mixedscalar and vector linear potentials in the context of deformedquantum mechanics characterized by a finite minimal uncertainty inposition. The expressions of bound state energies and the associatedwave functions are exactly obtained. |
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| Keywords: | Klein--Gordon equation linear potential minimallength exact solution |
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