anharmonic oscillator potential

Dirac Bound States of Anharmonic Oscillator in External Fields

Tue, 2015-02-17 13:26 — Sameer. Ikhdair

Journal Title, Volume, Page:

Annals of Physics Volume 341, Pages 153–163

Year of Publication:

2014

Link:

http://www.sciencedirect.com/science/article/pii/S0003491613002832

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, New campus, Nablus, Palestine

[email protected]

Majid Hamzavi

Department of Physics, University of Zanjan, Zanjan, Iran

Babatunde J. Falaye

Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria

Preferred Abstract (Original):

We explore the effect of the external magnetic and Aharonov–Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in the two-dimensional (2D) space. We calculate the exact energy eigenvalues and the corresponding un-normalized two-spinor-components wave functions in terms of the chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by using the Nikiforov–Uvarov (NU) method.

Exact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential

Wed, 2013-10-30 10:32 — Sameer. Ikhdair

Journal Title, Volume, Page:

Journal of Molecular Structure: THEOCHEM 806, 155–158

Year of Publication:

2007

Link:

http://arxiv.org/abs/quant-ph/0611183

Authors:

Sameer Ikhdair

Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey

Current Affiliation:

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

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Preferred Abstract (Original):

The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigen functions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential.

On Solutions of the Schrödinger Equation for Some Molecular Potentials: Wave Function Ansatz

Sun, 2013-09-15 12:26 — Sameer. Ikhdair

Journal Title, Volume, Page:

Central European Journal of Physics September, Volume 6, Issue 3, pp 697-703

Year of Publication:

2008

Link:

http://link.springer.com/content/pdf/10.2478/s11534-008-0060-y.pdf

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey

Current Affiliation:

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

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

Preferred Abstract (Original):

Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, δ and ν are also given, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D and δ is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.

An-Najah Staff