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Dirac bound states of anharmonic oscillator in external fields
Authors:Majid Hamzavi  Sameer M. Ikhdair  Babatunde J. Falaye
Affiliation:1. Department of Physics, University of Zanjan, Zanjan, Iran;2. Department of Physics, Faculty of Science, an-Najah National University, Nablus, West Bank, Palestine;3. Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, Northern Cyprus, Mersin 10, Turkey;4. Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
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:Dirac equation   Anharmonic oscillator potential   Magnetic field, AB flux field   Nikiforov&ndash  Uvarov method
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