Bound States Energies of a Harmonic Oscillator Perturbed by Point Interactions  

作　　者：N.Ferkous T.Boudjedaa 

机构地区：[1]Laboratory of Theoretical Physics, Department of Physics, University of Jijel, PB 98 Ouled Aissa, DZ-18000 Jijel, Algeria

出　　处：《Communications in Theoretical Physics》2017年第3期241-249,共9页理论物理通讯（英文版）

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

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.

关 键 词：Green＇s function delta potential harmonic oscillator REGULARIZATION 

分 类 号：TN752[电子电信—电路与系统]