English

Dirac bound states of anharmonic oscillator in external fields

Quantum Physics 2014-02-03 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1401.7144,
  title  = {Dirac bound states of anharmonic oscillator in external fields},
  author = {Majid Hamzavia and Sameer M. Ikhdair and Babatunde J. Falaye},
  journal= {arXiv preprint arXiv:1401.7144},
  year   = {2014}
}