Dirac Bound States of Anharmonic Oscillator in External Fields

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.

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Dirac Bound States of Anharmonic Oscillator in External Fields