Dirac equation with scalar and vector quadratic potentials and Coulomb-like tensor potential

被引:100
作者
Akcay, H. [1 ]
机构
[1] Baskent Univ, Fac Engn, TR-06490 Ankara, Turkey
关键词
Dirac equation; Tensor potential; Pseudospin symmetry; Harmonic oscillator; PSEUDOSPIN SYMMETRY; OSCILLATOR;
D O I
10.1016/j.physleta.2008.12.029
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that the Dirac equation with scalar and vector quadratic potentials and a Coulomb-like tensor potential can be solved exactly. The bound state solutions for equal vector and scalar potentials are obtained. The limit of zero tensor coupling is investigated. The case of equal vector and scalar potentials with opposite sign is also studied. The pseudospin symmetry and its breaking by the tensor interaction are discussed. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:616 / 620
页数:5
相关论文
共 24 条
[1]   Tensor coupling and pseudospin symmetry in nuclei [J].
Alberto, P ;
Lisboa, R ;
Malheiro, M ;
de Castro, AS .
PHYSICAL REVIEW C, 2005, 71 (03)
[2]   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
[3]  
[Anonymous], 1988, Special functions of mathematical physics
[4]  
[Anonymous], 1971, Practical Quantum Mechanics
[5]   PSEUDO LS COUPLING AND PSEUDO SU3 COUPLING SCHEMES [J].
ARIMA, A ;
HARVEY, M ;
SHIMIZU, K .
PHYSICS LETTERS B, 1969, B 30 (08) :517-&
[6]  
Berezin I.S. e., 1965, Computing Methods, V2
[7]  
Bjorken J. D., 1964, International series in pure and applied physics
[8]   Pseudospin symmetry in relativistic framework with harmonic oscillator potential and Woods-Saxon potential [J].
Chen, TS ;
Lü, HF ;
Meng, J ;
Zhang, SQ ;
Zhou, SG .
CHINESE PHYSICS LETTERS, 2003, 20 (03) :358-361
[9]   Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator [J].
de Castro, A. S. t ;
Alberto, P. ;
Lisboa, R. ;
Malheiro, M. .
PHYSICAL REVIEW C, 2006, 73 (05)
[10]   Dirac equation exact solutions for generalized asymmetrical Hartmann potentials [J].
Dutra, A. de Souza ;
Hott, M. .
PHYSICS LETTERS A, 2006, 356 (03) :215-219