Exact Eigenfunctions of N-body System with Quadratic Pair Potential  

作　　者：王兆亮 王安民 杨阳 李学超 

机构地区：[1]Department of Modern Physics,University of Science and Technology of China

出　　处：《Communications in Theoretical Physics》2012年第11期639-644,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.10975125

摘　　要：We obtain the energy spectrum and all the corresponding eigenfunctions of N-body Bose and Fermi systems with Quadratic Pair Potentials in one dimension. The original first excited state or energy level is disappeared in one dimension, which results from the operation of symmetry or antisymmetry of identical particles. In two and higher dimensions, we give the energy spectrum and the analytical ground state wave [unctions and the degree of degeneracy. By comparison, we refine A vinash Khare＇s results by making some items in his article precisely.

关 键 词：Calogero-Sutherland model quadratic pair potential exact eigenfunction 

分 类 号：O413.3[理学—理论物理]