中国物理B ›› 2018, Vol. 27 ›› Issue (2): 20301-020301.doi: 10.1088/1674-1056/27/2/020301

• SPECIAL TOPIC—Soft matter and biological physics (Review) • 上一篇    下一篇

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

M Eshghi, R Sever, S M Ikhdair   

  1. 1. Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
    2. Department of Physics, Middle East Technical University, Ankara, Turkey;
    3. Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine;
    4. Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus, Mersin 10, Turkey
  • 收稿日期:2017-07-17 修回日期:2017-10-23 出版日期:2018-02-05 发布日期:2018-02-05
  • 通讯作者: M Eshghi E-mail:eshgi54@gmail.com,m.eshghi@semnan.ac.ir

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

M Eshghi1, R Sever2, S M Ikhdair3,4   

  1. 1. Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
    2. Department of Physics, Middle East Technical University, Ankara, Turkey;
    3. Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine;
    4. Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus, Mersin 10, Turkey
  • Received:2017-07-17 Revised:2017-10-23 Online:2018-02-05 Published:2018-02-05
  • Contact: M Eshghi E-mail:eshgi54@gmail.com,m.eshghi@semnan.ac.ir
  • About author:03.65.Ge; 03.65.Db; 03.65.Ca; 03.65.Fd

摘要:

We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrödinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the actions of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for the spatially-dependent mass distribution function of interest in physics. A few plots of some numerical results with respect to the energy are shown.

关键词: Schrödinger equation, Hulthen plus Coulomb-like potential, position-dependent mass distribution functions, perpendicular magnetic and Aharonov-Bohm flux fields

Abstract:

We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrödinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the actions of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for the spatially-dependent mass distribution function of interest in physics. A few plots of some numerical results with respect to the energy are shown.

Key words: Schrödinger equation, Hulthen plus Coulomb-like potential, position-dependent mass distribution functions, perpendicular magnetic and Aharonov-Bohm flux fields

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Db (Functional analytical methods) 03.65.Ca (Formalism) 03.65.Fd (Algebraic methods)