Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions

作     者：王文阁 

作者机构：DepartmentofPhysicsSoutheastUniversityNanjing210096 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2004年第21卷第10期

页      面：1869-1872页

核心收录：

学科分类：070207[理学-光学] 07[理学] 0702[理学-物理学] 

基　　金：国家自然科学基金 

主　　题：Eigenvalues and eigenfunctions 

摘      要：Classically energetically inaccessible parts of energy eigenfunctions in configuration space are studied by making use of a generalization of Brillouin–Wigner perturbation theory. Approximate formulas are proposed for describing local decaying rate of this part of energy eigenfunctions, which are useful in the study of quantum phenomena, such as tunnelling effect, and are tested in an anharmonic oscillator.