The Relation Between One—to—One Correspondent Orthonormal Eigenstates of H^0 and H（λ）=H^0＋λV  

作　　者：XINGYong－Zhong XUGong－Ou 等 

机构地区：[1]InstituteofModernPhysics,TheChineseAcademyofSciences,Lanzhou730000,China DepartemntofPhysics,TianshuiNormalCollege,Tianshui741000,GansuProvince,China [2]DepartmentofPhysics,NanjingUnve

出　　处：《Communications in Theoretical Physics》2001年第1期11-14,共4页理论物理通讯（英文版）

基　　金：国家非线性科学基础研究项目

摘　　要：The relation between one-to-one correspondent orthonormal eigenstates of H0 and H(λ) ＝ H0 + λV is carefully studied with general perturbation theory. Attention is particularly paid to the analyticity and its local destruction due to nonlinear resonance. Numerical results are given to show such possibility with a special Jacobi diagonalization method. The conclusions show that for the system H(λ) belonging to the same class as H0, the relation between one-to-one correspondent orthonormal eigenstates |φi(λ)> and|φ0m(i)>can be expressed as an analytical unitary matrix which can be identified to the relevant quantum canonical transformation. But for the system H(λ) violated dynamical symmetry, the relation between one-to-one correspondent orthonormal eigenstates cannot be expressed as an analytical unitary matrix. Such a kind of unitary matrix cannot be taken as a quantum canonical transformation to define quantum mechanical quantities. This is a key point for studying the quantum chaos with the help of dynamical symmetry theory.

关 键 词：量子浑沌 微抗理论 非线性共振 

分 类 号：O415.5[理学—理论物理]