The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a Magnetic Field

Details The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a Magnetic Field The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a Magnetic Field

2007-03-13

arxiv.org/abs/quant-ph/0703102v1

Int. J. Mod. Phys. E 15 (2006) 1263

Physics

Quantum Physics

13 pages and 5 tables

Scientific paper

10.1142/S021830130600482X

In this paper, the energy eigenvalues of the two dimensional hydrogen atom are presented for the arbitrary Larmor frequencies by using the asymptotic iteration method. We first show the energy eigenvalues for the no magnetic field case analytically, and then we obtain the energy eigenvalues for the strong and weak magnetic field cases within an iterative approach for $n=2-10$ and $m=0-1$ states for several different arbitrary Larmor frequencies. The effect of the magnetic field on the energy eigenvalues is determined precisely. The results are in excellent agreement with the findings of the other methods and our method works for the cases where the others fail.

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