Dirac bound states of anharmonic oscillator in external fields
arXiv:1401.7144 · doi:10.1016/j.aop.2013.12.003
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.
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- Formula Method for Bound State Problems
- Landau quantization, Aharonov-Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation
- Relativistic Killingbeck Energy States Under an External Magnetic Fields
- Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interaction
- Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings