{ "id": "1609.07725", "version": "v1", "published": "2016-09-25T10:23:10.000Z", "updated": "2016-09-25T10:23:10.000Z", "title": "Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields", "authors": [ "Mahdi Eshghi", "Hussein Mehraban", "Sameer M. Ikhdair" ], "comment": "16 pages, 12 figures in Advances in high Energy Physics (2016)", "categories": [ "quant-ph", "hep-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-09-25T10:23:10.000Z" } ], "analyses": { "keywords": [ "external magnetic fields", "approximate energy states", "position-dependent mass", "thermal properties", "non-relativistic bound state energies" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }