Topological defects on solutions of the non-relativistic equation for extended double ring-shaped potential  

作　　者：Badredine Boudjedaa Faizuddin Ahmed 

机构地区：[1]Natural Sciences and Materials Laboratory,University Center Abdelhafid Boussouf,Mila,Algeria [2]Department of Mathematics,Institute of Mathematics and Computer Science,University Center Abdelhafid Boussouf,Mila,Algeria [3]Department of Physics,University of Science&Technology Meghalaya,Ri-Bhoi,793101,India

出　　处：《Communications in Theoretical Physics》2024年第8期29-43,共15页理论物理通讯（英文版）

摘　　要：In this study, we focus into the non-relativistic wave equation described by the Schrodinger equation, specifically considering angular-dependent potentials within the context of a topological defect background generated by a cosmic string. Our primary goal is to explore quasi-exactly solvable problems by introducing an extended ring-shaped potential. We utilize the Bethe ansatz method to determine the angular solutions, while the radial solutions are obtained using special functions. Our findings demonstrate that the eigenvalue solutions of quantum particles are intricately influenced by the presence of the topological defect of the cosmic string,resulting in significant modifications compared to those in a flat space background. The existence of the topological defect induces alterations in the energy spectra, disrupting degeneracy.Afterwards, we extend our analysis to study the same problem in the presence of a ring-shaped potential against the background of another topological defect geometry known as a point-like global monopole. Following a similar procedure, we obtain the eigenvalue solutions and analyze the results. Remarkably, we observe that the presence of a global monopole leads to a decrease in the energy levels compared to the flat space results. In both cases, we conduct a thorough numerical analysis to validate our findings.

关 键 词：non-relativistic wave-equation:Schrödinger equation topological defect:cosmic string point-like global monopole potential:extended ring-shaped potentials Bethe ansatz method 

分 类 号：O413[理学—理论物理]