The Energy Eigenvalues of V(r)=-Zr + gr + λr2 Potential In The Constant Homogeneous Magnetic Field By The Asymptotic Iteration Method

Details The Energy Eigenvalues of V(r)=-Zr + gr + λr2 Potential In The Constant Homogeneous Magnetic Field By The Asymptotic Iteration Method The Energy Eigenvalues of V(r)=-Zr + gr + λr2 Potential In The Constant Homogeneous Magnetic Field By The Asymptotic Iteration Method

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..351a&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 351-352 (2007).

Physics

Solutions Of Wave Equations: Bound States, Interatomic Potentials And Forces, Intermolecular And Atom-Molecule Potentials And Forces

Scientific paper

In a homogeneous magnetic field, we present the solution of the radial Schrödinger equation for V(r)=-Zr + gr + λr2 potential. Within an alternative approach, the asymptotic iteration method, we obtain the energy eigenvalues for any arbitrary magnetic fields. The results obtained by using different Larmor frequencies, wL = 0.1, 0.5, 1, 3, 5, 10, are compared with wL = 0 which corresponds to the non-magnetic field case. We present that this method works for weak and strong magnetic field cases i.e. any Larmor frequencies as well as it gives the energy eigenvalues for any n, m quantum numbers.

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