线性谐振子加空间转子模型的初步分析  

A Preliminary Analysis of the Model of Linear Harmonic Oscillator with Space Rotor

作　　者：陈彦辉 CHEN Yanhui(Institute of Astrophysics,Chuxiong Normal University,Chuxiong,Yunnan Province 675000;School of Physics&Electronic Science,Chuxiong Normal University,Chuxiong,Yunnan Province 675000;Key Laboratory for the Structure and Evolution of Celestial objects,Chinese Academy of Sciences,Kunming,Yunnan Province 650011)

机构地区：[1]楚雄师范学院天体物理研究所,云南楚雄675000 [2]楚雄师范学院物理与电子科学学院,云南楚雄675000 [3]中国科学院天体结构与演化重点实验室,云南昆明650011

出　　处：《楚雄师范学院学报》2020年第6期35-37,共3页Journal of Chuxiong Normal University

基　　金：国家自然科学基金(NO.11803004,NO.11563001)资助;中科院天体结构与演化重点实验室开放课题(NO.OP201502)资助。

摘　　要：用线性谐振子模型加空间转子模型组合近似分析受扰动时的双原子分子,这是一个振动加转动的系统。通过求解薛定谔方程计算了该系统的能量本征值和本征函数,分析了该系统的基态能量和能量本征值的简并度。对于角量子数为零的非简并情况,考虑微弱的外电场,采用非简并定态微扰理论计算了该系统的能量一级修正值(为零)、二级修正值和波函数一级修正值。In this paper,linear harmonic oscillator model and space rotor model are used in combination to analyze the diatomic molecules under disturbance.It is a vibration plus rotation system.The energy eigenvalues and eigen-functions of the system are calculated by solving the Schrodinger equation.The ground state energy and the degeneracy of eigen-values of the system are analyzed.Considering the weak external electric field,the first-order correction(zero),the second-order correction of eigen-values and the first-order correction of eigen-functions for the system are calculated for the non-degenerate case with zero angular quantum number by using the non-degenerate stationary perturbation theory.

关 键 词：线性谐振子 空间转子 非简并定态微扰理论 

分 类 号：TN751.2[电子电信—电路与系统]