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

作　　者：M Eshghi H Mehraban S M Ikhdair 

机构地区：[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

出　　处：《Chinese Physics B》2017年第6期22-30,共9页中国物理B（英文版）

摘　　要：We solve the Schrodinger 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.We solve the Schrodinger 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：Schr?dinger equation Morse-plus-Coulomb potentials position-dependent mass distribution functions perpendicular magnetic and Aharonov–Bohm flux fields 

分 类 号：O41[理学—理论物理]