Generalized ladder operators for the Dirac-Coulomb, problem via SUSY QM

被引：9
作者：
Rodrigues, RD
机构：
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
[2] Univ Fed Campina Grande, Ctr Formacao Prof, Dept Ciencias Exatas & Nat, BR-58900000 Cajazeiras, PB, Brazil
来源：
PHYSICS LETTERS A | 2004年 / 326卷 / 1-2期
关键词：
Dirac-Coulomb problem; supersymmetry in quantum mechanics and shape invariance;
D O I：
10.1016/j.physleta.2004.04.013
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Supersymmetry and the shape invariance condition in quantum mechanics are applied as an algebraic method to solve the Dirac-Coulomb problem. The ground state and the excited states are investigated using new generalized ladder operators. (C) 2004 Elsevier B.V. All rights reserved.
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收藏
页码：42 / 46
页数：5
相关论文
共 44 条
[1]   Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems [J].
Aleixo, ANF ;
Balantekin, AB ;
Ribeiro, MAC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (06) :1109-1127
[2]   A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance [J].
Aleixo, ANF ;
Balantekin, AB ;
Ribeiro, MAC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (16) :3173-3178
[3]   Relativistic extension of shape-invariant potentials [J].
Alhaidari, AD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (46) :9827-9833
[4]  
[Anonymous], PISMA ZH EKSP TEOR F
[5]  
Bagchi B K., 2000, Supersymmetry in Quantum and Classical Mechanics
[6]   Algebraic nature of shape-invariant and self-similar potentials [J].
Balantekin, AB ;
Ribeiro, MAC ;
Aleixo, ANF .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (15) :2785-2790
[7]   Algebraic approach to shape invariance [J].
Balantekin, AB .
PHYSICAL REVIEW A, 1998, 57 (06) :4188-4191
[8]  
Bjorken JD, 1964, RELATIVISTIC QUANTUM
[9]  
COOPER F, 1995, PHYS REP, V251, P268
[10]  
Cooper F., 2001, Supersymmetry In Quantum Mechanics
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