Dirac equation exact solutions for generalized asymmetrical Hartmann potentials

被引:50
作者
Dutra, A. de Souza
Hott, M.
机构
[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
[2] UNESP, Dept Fis & Quim, BR-12516410 Guaratingueta, SP, Brazil
关键词
D O I
10.1016/j.physleta.2006.03.042
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of vector and scalar generalized Hartmann potentials. This is done provided the vector potential is equal to or minus the scalar potential. The cases of some quasi-exactly solvable and Morse-like potentials are briefly commented. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:215 / 219
页数:5
相关论文
共 20 条
[2]   Relativistic extension of shape-invariant potentials [J].
Alhaidari, AD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (46) :9827-9833
[3]   Solution of the relativistic Dirac-Morse problem [J].
Alhaidari, AD .
PHYSICAL REVIEW LETTERS, 2001, 87 (21) :210405-1
[4]  
[Anonymous], 1964, Handbook of mathematical functions
[5]   Exact solutions of the Dirac equation with scalar and vector Hartmann potentials [J].
Chen, CY .
PHYSICS LETTERS A, 2005, 339 (3-5) :283-287
[6]   Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential [J].
Chen, CY ;
Dong, SH .
PHYSICS LETTERS A, 2005, 335 (5-6) :374-382
[7]   Exact solutions of continuous states for Hartmann potential [J].
Chen, CY ;
Lu, FL ;
Sun, DS .
PHYSICS LETTERS A, 2004, 329 (06) :420-424
[8]   The general calculation formulas and the recurrence relations of radial matrix elements for Hartmann potential [J].
Chen, CY ;
Sun, DS ;
Liu, CL .
PHYSICS LETTERS A, 2003, 317 (1-2) :80-86
[9]   The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values [J].
Chen, CY ;
Liu, CL ;
Sun, DS .
PHYSICS LETTERS A, 2002, 305 (06) :341-348
[10]   Comment on 'Relativistic extension of shape-invariant potentials' [J].
de Castro, AS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (29) :6203-6204