Accidental Degeneracies in N dimensions for Potential Class αr2d-2 — βrd-2 via Asympto

Accidental Degeneracies in N dimensions for Potential Class αr2d-2 — βrd-2 via Asymptotic

Iteration Method (AIM)

H.F.Kisoglu;Hakan Ciftci

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2017(067)004

【摘要】In mathematical physics the main goal of quantum mechanics is to obtain the energy spectrum of an atomic system.In many practices,Schr(o)dinger equation which is a second order and linear differential equation is solved to do this analysis.There are many theoretic mathematical methods serving this purpose.We use Asymptotic Iteration Method (AIM) to obtain the energy eigenvalues of Schr(o)dinger equation in N-dimensional euclidean space for a potential class given as αr2d-2-βrd-2.We also obtain a restriction on the eigenvalues that gives degeneracies.Besides,we crosscheck the eigenvalues and degeneracies using the perturbation theory in the view of the AIM.

【总页数】5页(350-354) 【关键词】

【作者】H.F.Kisoglu;Hakan Ciftci

【作者单位】Department of Basic Sciences, Faculty of Maritime, Mersin University, Mersin, Turkey;Physics Department, Science Faculty, Gazi