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6 papers · 1 filter
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…
Renormalization Group Analysis of a Gursey Model Inspired Field Theory II
B. C. Lutfuoglu, F. Taskin
Recently a model, which is equivalent to the scalar form of Gursey model, is shown to be a nontrivial field theoretical model when it is gauged with a SU(N) field. In this paper we…
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…
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…
Solution of the Radial Schrödinger Equation for the Potential Family using the Asymptotic Iteration Method
M. Aygun, O. Bayrak, I. Boztosun
We present the exact and iterative solutions of the radial Schrödinger equation for a class of potential, , for various values of from -2…
Dynamic Phase Transition in the Kinetic Spin-3/2 Blume-Capel Model: Phase Diagrams in the Temperature and Crystal-Field Interaction Plane
Mustafa Keskin, Osman Canko, Bayram Deviren
We analyze, within a mean-field approach, the stationary states of the kinetic spin-3/2 Blume-Capel model by the Glauber-type stochastic dynamics and subject to a time-dependent os…