Bound states of the Dirac equation with position-dependent mass for the Eckart potential

doi:10.1088/1674-1056/22/1/010301

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 10301-010301.doi: 10.1088/1674-1056/22/1/010301

Bound states of the Dirac equation with position-dependent mass for the Eckart potential

Bahar M. K.^{a b}, Yasuk F.^a

a Department of Physics, Erciyes University, 38039, Kayseri, Turkey;
b Department of Physics, Karamanoglu Mehmetbey University, 70100, Karaman, Turkey

收稿日期:2012-03-15 修回日期:2012-04-11 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by Erciyes University-FBA-09-999.

Bound states of the Dirac equation with position-dependent mass for the Eckart potential

Bahar M. K.^{a b}, Yasuk F.^a

a Department of Physics, Erciyes University, 38039, Kayseri, Turkey;
b Department of Physics, Karamanoglu Mehmetbey University, 70100, Karaman, Turkey

Received:2012-03-15 Revised:2012-04-11 Online:2012-12-01 Published:2012-12-01
Contact: Yasuk F. E-mail:yasuk@erciyes.edu.tr
Supported by:
Project supported by Erciyes University-FBA-09-999.

摘要/Abstract

摘要： Studying with the asymptotic iteration method, we present approximate solutions of the Dirac equation for the Eckart potential in the case of position dependent mass. The centrifugal term is approximated by an exponential form, and the relativistic energy spectrum and the normalized eigenfunctions are obtanied explicitly.

关键词: Dirac equation, position-dependent mass, Eckart potential, asymptotic iteration method

Abstract: Studying with the asymptotic iteration method, we present approximate solutions of the Dirac equation for the Eckart potential in the case of position dependent mass. The centrifugal term is approximated by an exponential form, and the relativistic energy spectrum and the normalized eigenfunctions are obtanied explicitly.

Key words: Dirac equation, position-dependent mass, Eckart potential, asymptotic iteration method

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Ge (Solutions of wave equations: bound states) 03.65.Pm (Relativistic wave equations)

Bahar M. K., Yasuk F.. Bound states of the Dirac equation with position-dependent mass for the Eckart potential[J]. Chin. Phys. B, 2013, 22(1): 10301-010301.

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Bound states of the Dirac equation with position-dependent mass for the Eckart potential

Bound states of the Dirac equation with position-dependent mass for the Eckart potential

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