Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Eshghi, M.
Sever, Ramazan
Ikhdair, S. M.
We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrodinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the actions of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for the spatially-dependent mass distribution function of interest in physics. A few plots of some numerical results with respect to the energy are shown.


Analytical Solutions to the Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller Potential
Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET (IOP Publishing, 2010-01-01)
The energy eigenvalues and the corresponding eigenfunctions of the one-dimensional Klein-Gordon equation with q-parameter Poschl-Teller potential are analytically obtained within the position-dependent mass formalism. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations by choosing a mass distribution.
Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation
Farout, Mahmoud; Sever, Ramazan; Ikhdair, Sameer M. (IOP Publishing, 2020-06-01)
We obtain the quantized momentum eigenvalues P-n together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
Thermal and optical properties of two molecular potentials
Eshghi, Mahdi; Sever, Ramazan; Ikhdair, Sameer M. (Springer Science and Business Media LLC, 2019-04-01)
We solve the Schrodinger wave equation for the generalized Morse and cusp molecular potential models. In the limit of high temperature we, first, need to calculate the canonical partition function which is basically used to study the behavior of the thermodynamic functions. Based on this, we further calculate the thermodynamic quantities, such as the free energy, the entropy, the mean energy and the specific heat. Their behavior with the temperature has been investigated. In addition, the susceptibility for...
Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
Egrifes, H; Sever, Ramazan (Elsevier BV, 2005-09-05)
The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions.
Effective polar potential in the central force Schrodinger equation
Shikakhwa, M. S.; Mustafa, M. (IOP Publishing, 2010-01-01)
The angular part of the Schrodinger equation for a central potential is brought to the one-dimensional 'Schrodinger form' where one has a kinetic energy plus potential energy terms. The resulting polar potential is seen to be a family of potentials characterized by the square of the magnetic quantum number m. It is demonstrated that this potential can be viewed as a confining potential that attempts to confine the particle to the xy-plane, with a strength that increases with increasing m. Linking the soluti...
Citation Formats
M. Eshghi, R. Sever, and S. M. Ikhdair, “Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields,” CHINESE PHYSICS B, pp. 0–0, 2018, Accessed: 00, 2020. [Online]. Available: