Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction

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 subjects to 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.

13 pages, to appear in Chinese Physics B (2012). arXiv admin note: text overlap with arXiv:hep-th/0503208

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Cited by in corpus (5)

• Nonrelativistic molecular models under external magnetic and AB flux fields
• Dirac bound states of anharmonic oscillator in external fields
• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
• Eigenspectra and Statistical Properties of the Klein-Gordon Equation with Cornell Potential: Unequal Mixings of Scalar and Time-Like Vector Potentials
• New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential