RELATIVISTIC BOUND STATES IN A PSEUDOHARMONIC OSCILLATOR VIA LAPLACE TRANSFORM

摘要

The two-dimensional Klein-Gordon equation with equal scalar and vector pseudo-harmonic oscillator is studied via the Laplace transform method. The exact bound state energy eigenvalues and wave functions are calculated in terms of chemical potential parameter and magnetic quantum number by requiring good behaviour of wave function at the origin and at infinity. The non-relativistic solution of the pseudo-harmonic oscillator solution is also found in three-dimensional and D-dimensional space.