153 citations
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Showing 2007 · quant-phShow all
3 papers · 2 filters
quant-ph2007★ 22 cited
An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems
I. Boztosun, M. Karakoc
We derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases. We then show that there…
quant-ph2007★ 28 cited
The Energy Eigenvalues of the Two Dimensional Hydrogen Atom in a Magnetic Field
A. Soylu, O. Bayrak, I. Boztosun
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 sho…
quant-ph2007
Analytical Solutions to the Hulthen and the Morse Potentials by using the Asymptotic Iteration Method
O. Bayrak, I. Boztosun
We present the exact analytical solution of the radial Schrödinger equation for the deformed Hulthén and the Morse potentials within the framework of the Asymptotic Iteration Metho…