A Charged Spinless Particle in Scalar–Vector Harmonic Oscillators with Uniform Magnetic and Aharonov–Bohm Flux Fields

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Journal Title, Volume, Page: 
Journal of the Association of Arab Universities for Basic and Applied Sciences
Year of Publication: 
2013
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, New Campus, Jenaid, Nablus, West Bank, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Babatunde J. Falaye
Theoretical Physics Section, Physics Department, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria
Preferred Abstract (Original): 

The two-dimensional solution of the spinless Klein–Gordon (KG) equation for scalar–vector harmonic oscillator potentials with and without the presence of constant perpendicular magnetic and Aharonov–Bohm (AB) flux fields is studied within the asymptotic function analysis and Nikiforov–Uvarov (NU) method. The exact energy eigenvalues and normalized wave functions are analytically obtained in terms of potential parameters, magnetic field strength, AB flux field and magnetic quantum number. The results obtained by using different Larmor frequencies are compared with the results in the absence of both magnetic field (ωL = 0) and AB flux field (ξ = 0) case. Effects of external fields on the non-relativistic energy eigenvalues and wave functions solutions are also precisely presented.

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A Charged Spinless Particle in Scalar–Vector Harmonic Oscillators with Uniform Magnetic and Aharonov–Bohm Flux Fields1.28 MB