Bound States Energies of a Harmonic Oscillator Perturbed by Point Interactions

作     者：N.Ferkous T.Boudjedaa 

作者机构：Laboratory of Theoretical Physics Department of Physics University of Jijel PB 98 Ouled Aissa DZ-18000 Jijel Algeria 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2017年第67卷第3期

页      面：241-249页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：Supported by the Algerian Ministry of Higher Education and Scientific Research under the CNEPRU project No.D01720140001 

主　　题：Green's function delta potential harmonic oscillator regularization 

摘      要：We determine explicitly the exact transcendental bound states energies equation for a one-dimensional harmonic oscillator perturbed by a single and a double point interactions via Green s function techniques using both momentum and position space representations. The even and odd solutions of the problem are discussed. The corresponding limiting cases are recovered. For the harmonic oscillator with a point interaction in more than one dimension,divergent series appear. We use to remove this divergence an exponential regulator and we obtain a transcendental equation for the energy bound states. The results obtained here are consistent with other investigations using different methods.