Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

doi:10.1088/1674-1056/26/6/060302

中国物理B ›› 2017, Vol. 26 ›› Issue (6): 60302-060302.doi: 10.1088/1674-1056/26/6/060302

• SPECIAL TOPIC—Non-equilibrium phenomena in soft matters • 上一篇下一篇

Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

M Eshghi, H Mehraban, S M Ikhdair

1 Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
2 Faculty of Physics, Semnan University, Semnan, Iran;
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:2017-01-02 修回日期:2017-02-26 出版日期:2017-06-05 发布日期:2017-06-05
通讯作者: M Eshghi E-mail:eshgi54@gmail.com,m.eshghi@semnan.ac.ir

Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

M Eshghi¹, H Mehraban², S M Ikhdair^3,4

1 Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
2 Faculty of Physics, Semnan University, Semnan, Iran;
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:2017-01-02 Revised:2017-02-26 Online:2017-06-05 Published:2017-06-05
Contact: M Eshghi E-mail:eshgi54@gmail.com,m.eshghi@semnan.ac.ir

摘要/Abstract

摘要：

We solve the Schrödinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse-plus-Coulomb potentials and is under the influence of external magnetic and Aharonov-Bohm (AB) flux fields. The nonrelativistic bound state energies together with their wave functions are calculated for two spatially-dependent mass distribution functions. We also study the thermal quantities of such a system. Further, the canonical formalism is used to compute various thermodynamic variables for second choosing mass by using the Gibbs formalism. We give plots for energy states as a function of various physical parameters. The behavior of the internal energy, specific heat, and entropy as functions of temperature and mass density parameter in the inverse-square mass case for different values of magnetic field are shown.

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

Abstract:

Key words: Schrödinger equation, Morse-plus-Coulomb potentials, 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.Ca (Formalism) 03.65.Db (Functional analytical methods)

M Eshghi,H Mehraban,S M Ikhdair. Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields[J]. 中国物理B, 2017, 26(6): 60302-060302.

M Eshghi, H Mehraban, S M Ikhdair. Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields[J]. Chin. Phys. B, 2017, 26(6): 60302-060302.

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Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

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