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arXiv · 1609.07725

Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields

Mahdi Eshghi·Hussein Mehraban·Sameer M. Ikhdair
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Abstract

We solve the Schr\"odinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse and Coulomb potentials and exposed to external magnetic and Aharonov-Bohm (AB) flux fields. The non-relativistic 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 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.

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Mahdi Eshghi, Hussein Mehraban, Sameer M. Ikhdair. 2016-09-25. Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields. https://doi.org/10.1088/1674-1056%2F26%2F6%2F060302

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