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

Abstract

We solve the Schrödinger 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.

16 pages, 12 figures in Advances in high Energy Physics (2016)

References in corpus (7)

• Nonrelativistic molecular models under external magnetic and AB flux fields
• Fisher's information for the position-dependent mass Schrödinger system
• A singular position-dependent mass particle in an infinite potential well
• Spectra of cylindrical quantum dots: the effect of electrical and magnetic fields together with AB flux field
• Relativistic Killingbeck Energy States Under an External Magnetic Fields
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Free electron in a laser field: The nonrelativistic solution

Cited by in corpus (4)

• Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields
• Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields
• PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
• Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability