Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit

被引：81

作者：

Aydogdu, Oktay ^{[1
,2
]}

Sever, Ramazan ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey

[2] Mersin Univ, Dept Phys, TR-33343 Mersin, Turkey

来源：

ANNALS OF PHYSICS | 2010年 / 325卷 / 02期

关键词：

Mie-type potential; Dirac equation; Pseudospin symmetry; Spin symmetry; STATES; MOLECULES; SPECTRUM; ENERGY;

D O I：

10.1016/j.aop.2009.10.009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energy eigenvalues of the Dirac particles for the well-known Kratzer-Fues and modified Kratzer potentials which are Mie-type potentials. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：373 / 383

页数：11

共 41 条

[1] Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus [J].

Alberto, P ;

Fiolhais, M ;

Malheiro, M ;

Delfino, A ;

Chiapparini, M .

PHYSICAL REVIEW C, 2002, 65 (03) :343071-343079

[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] PSEUDO LS COUPLING AND PSEUDO SU3 COUPLING SCHEMES [J].

ARIMA, A ;

HARVEY, M ;

SHIMIZU, K .

PHYSICS LETTERS B, 1969, B 30 (08) :517-&

[4] The pseudospin symmetric solution of the Morse potential for any κ state [J].

Bayrak, O. ;

Boztosun, I. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (36) :11119-11127

[5] Pseudospin symmetry in the relativistic Morse potential including the spin-orbit coupling term [J].

Berkdemir, C .

NUCLEAR PHYSICS A, 2006, 770 (1-2) :32-39

[6] Bound state solutions of the Schrodinger equation for modified Kratzer's molecular potential [J].

Berkdemir, C ;

Berkdemir, A ;

Han, JG .

CHEMICAL PHYSICS LETTERS, 2006, 417 (4-6) :326-329

[7] Pseudospin symmetry solution of the Dirac equation with an angle-dependent potential [J].

Berkdemir, Cueneyt ;

Sever, Ramazan .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (04)

[8] PSEUDOSPIN IN ROTATING NUCLEAR-POTENTIALS [J].

BOHR, A ;

HAMAMOTO, I ;

MOTTELSON, BR .

PHYSICA SCRIPTA, 1982, 26 (04) :267-272

[9] 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

[10] Asymptotic iteration method for eigenvalue problems [J].

Ciftci, H ;

Hall, RL ;

Saad, N .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (47) :11807-11816

← 1 2 3 4 5 →