Relativistic quantum effects of confining potentials on the Klein-Gordon oscillator

被引：82
作者：
Vitoria, R. L. L. [1 ]
Bakke, K. [1 ]
机构：
[1] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051970 Joao Pessoa, PB, Brazil
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2016年 / 131卷 / 02期
关键词：
COULOMB TYPE POTENTIALS; SCHRODINGER-EQUATION; DIRAC-EQUATION; MAGNETIC-FIELD; EQUAL SCALAR; BOUND-STATES; ANYONS; VECTOR; FLUX; PERTURBATION;
D O I：
10.1140/epjp/i2016-16036-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The behaviour of the Klein-Gordon oscillator under the influence of linear and Coulomb-type potentials is investigated. The introduction of the scalar potentials is made by modifying the mass term of the Klein-Gordon equation, then, by searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein-Gordon oscillator on the quantum numbers associated with the radial modes and the angular momentum. As an example, we analyse the angular frequency and the energy level associated with the ground state of the relativistic system.
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页码：1 / 8
页数：8
相关论文
共 99 条
[1]   TOPOLOGICAL QUANTUM EFFECTS FOR NEUTRAL PARTICLES [J].
AHARONOV, Y ;
CASHER, A .
PHYSICAL REVIEW LETTERS, 1984, 53 (04) :319-321
[2]   SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].
AHARONOV, Y ;
BOHM, D .
PHYSICAL REVIEW, 1959, 115 (03) :485-491
[3]   Dirac and Klein-Gordon equations with equal scalar and vector potentials [J].
Alhaidari, AD ;
Bahlouli, H ;
Al-Hasan, A .
PHYSICS LETTERS A, 2006, 349 (1-4) :87-97
[4]   Solution of the Dirac equation with position-dependent mass in the Coulomb field [J].
Alhaidari, AD .
PHYSICS LETTERS A, 2004, 322 (1-2) :72-77
[5]  
Alhaidari AD, 2002, PHYS REV A, V66, DOI 10.1103/PhysRevA.66.042116
[6]  
[Anonymous], 1989, GAUGE FIELDS CONDENS
[7]  
[Anonymous], 2003, CHINESE PHYS
[8]  
[Anonymous], 1995, Heun's Differential Equations
[9]  
Arfken G. B., 2000, Mathematical Methods for Physicists
[10]   Propagation of gravitational waves from slow motion sources in a Coulomb-type potential [J].
Asada, H ;
Futamase, T .
PHYSICAL REVIEW D, 1997, 56 (10) :R6062-R6066
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