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

被引：22

作者：

Chargui, Y. ^{[1
]}

Chetouani, L. ^{[2
]}

Trabelsi, A. ^{[1
]}

机构：

[1] Fac Sci Tunis, Unite Rech Phys Nucl & Hautes Energies, Tunis 1080, Tunisia

[2] Univ Constantine, Inst Phys, Dept Phys Theor, Route Ain El Bey, Constantine, Algeria

来源：

CHINESE PHYSICS B | 2010年 / 19卷 / 02期

关键词：

Klein-Gordon equation; linear potential; minimal length; exact solution; UNCERTAINTY RELATION; DIRAC-EQUATION; QUANTUM-MECHANICS; HYDROGEN; OSCILLATOR; PARTICLES;

D O I：

10.1088/1674-1056/19/2/020305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：5

共 38 条

[11] Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem [J].

Chang, LN ;

Minic, D ;

Okamura, N ;

Takeuchi, T .

PHYSICAL REVIEW D, 2002, 65 (12)

[12] RELATIVISTIC-PARTICLES IN ORTHOGONAL ELECTRIC AND MAGNETIC-FIELDS WITH CONFINING SCALAR POTENTIALS [J].

DOMINGUEZADAME, F ;

MENDEZ, B .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (05) :489-495

[13] Noncommutative field theory [J].

Douglas, MR ;

Nekrasov, NA .

REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :977-1029

[14]

Fitio T.V., 2006, J PHYS A, V39, P2143

[15] FUN AND FRUSTRATION WITH HYDROGEN IN A 1+1 DIMENSION [J].

GALIC, H .

AMERICAN JOURNAL OF PHYSICS, 1988, 56 (04) :312-317

[16] DIRAC-EQUATION FOR A LINEAR POTENTIAL [J].

GLASSER, ML ;

SHAWAGFEH, N .

JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (08) :2533-2537

[17] STRING THEORY BEYOND THE PLANCK SCALE [J].

GROSS, DJ ;

MENDE, PF .

NUCLEAR PHYSICS B, 1988, 303 (03) :407-454

[18] Maximal localization in the presence of minimal uncertainties in positions and in momenta [J].

Hinrichsen, H ;

Kempf, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (05) :2121-2137

[19]

Hull CM, 1998, J HIGH ENERGY PHYS

[20]

Hull Geoffrey., 1998, Estudos de Linguas e Culturas de Timor-Leste, V1, P1

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