2006/09/01 by A. Soylu, A. SOYLU, O. Bayrak +3 · 28 citations
Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Energy (signal processing) #Energy spectrum #Field (mathematics) #Hydrogen #Hydrogen atom #Magnetic field #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.1142/s021830130600482x
published in International Journal of Modern Physics E 15(06), 1263-1271 (World Scientific) · 13 pages and 5 tables
openalex publication_date 2006/09/01 · arxiv created 2007/03/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 case with no magnetic field 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.