position-dependent mass | An-Najah Staff

Bound States of Spatially Dependent Mass Dirac Equation with the Eckart Potential Including Coulomb Tensor ‎Interaction

Tue, 2015-02-17 15:06 — Sameer. Ikhdair

Journal Title, Volume, Page:

The European Physical Journal Plus , 129:1

Year of Publication:

2014

Link:

http://link.springer.com/article/10.1140%2Fepjp%2Fi2014-14001-y

Authors:

Sameer M. Ikhdair

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Babatunde J. Falaye

Theoretical Physics Section, University of Ilorin, Ilorin, Nigeria

Preferred Abstract (Original):

We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function are obtained in closed form. Some special cases of our solution are investigated. Furthermore, we present the correct solutions obtained via the asymptotic iteration method which are in agreement with the parametric Nikiforov-Uvarov method results.

Effective Schrödinger Equation with General Ordering Ambiguity Position-Dependent Mass Morse Potential

Tue, 2013-10-29 13:04 — Sameer. Ikhdair

Journal Title, Volume, Page:

Molecular Physics: An International Journal at the Interface Between Chemistry and Physics Volume 110, Issue 13, 1415-1428

Year of Publication:

2012

Link:

http://www.tandfonline.com/doi/abs/10.1080/00268976.2012.656148#.Um-mcfkwpNI

Authors:

Sameer M. Ikhdair

Physics Department, Near East University, Nicosia, North Cyprus, Turkey

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Preferred Abstract (Original):

We solve the parametric generalized effective Schrödinger equation with a specific choice of position-dependent mass function and Morse oscillator potential by means of the Nikiforov–Uvarov method combined with the Pekeris approximation scheme. All bound-state energies are found explicitly and all corresponding radial wave functions are built analytically. We choose the Weyl or Li and Kuhn ordering for the ambiguity parameters in our numerical work to calculate the energy spectrum for a few (H₂, LiH, HCl and CO) diatomic molecules with arbitrary vibration n and rotation l quantum numbers and different position-dependent mass functions. Two special cases including the constant mass and the vibration s-wave (l = 0) are also investigated.