EXAMINATION OF $V(r) = -\frac{Z}{r} + gr +\lambda r^2$ POTENTIAL IN THE PRESENCE OF MAGNETIC FIELD

Abstract

We present an alternative approach, the asymptotic iteration method, to solve the two-dimensional radial Schrödinger equation for [Formula: see text] potential in a magnetic field. The energy eigenvalues for arbitrary Larmor frequencies ranging from ωL = 0.1 to 10.0 are obtained and the results are compared with the nonmagnetic field case, ωL = 0, in order to show the effect of the presence of the weak and strong magnetic fields on the energy eigenvalues. It is shown that the method presented in this paper provides the energy eigenvalues in a systematic way not only in the weak magnetic field but also in the strong magnetic field regions with any Larmor frequencies.