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Effects of external fields on a two-dimensional Klein-Gordon particle under pseudo-harmonic oscillator interaction
Authors:Sameer MIkhdair a and Majid Hamzavi b a Physics
Institution:) Department of Basic Sciences,Shahrood Branch,Islamic Azad University,Shahrood,Iran
Abstract:We study the effects of the perpendicular magnetic and Aharonov-Bohm(AB) flux fields on the energy levels of a two-dimensional(2D) Klein-Gordon(KG) particle subjected to an equal scalar and vector pseudo-harmonic oscillator(PHO).We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter,magnetic field strength,AB flux field,and magnetic quantum number by means of the Nikiforov-Uvarov(NU) method.The non-relativistic limit,PHO,and harmonic oscillator solutions in the existence and absence of external fields are also obtained.
Keywords:Klein-Gordon equation  two-dimensional pseudo-harmonic oscillator (PHO) potential  magnetic and Aharonov-Bohm (AB) flux fields  Nikiforov-Uvarov method
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