Dirac particles in the presence of a constant magnetic field and harmonic potential with spin symmetry. (English) Zbl 1467.81032
Summary: In this paper, we study the effect of the constant magnetic field on energy levels of the Dirac particles such as electron, proton and heavy ions. We calculate the energy eigenvalues of the Dirac equation in the presence of the magnetic field and two-dimensional harmonic oscillator potential with spin symmetry by using the supersymmetric quantum mechanics and asymptotic iteration methods.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81Q60 | Supersymmetry and quantum mechanics |
| 35Q41 | Time-dependent Schrödinger equations and Dirac equations |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
Keywords:
Dirac equation; supersymmetric quantum mechanics; shape invariance theory; asymptotic iteration methodReferences:
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