酉变换与量子系统超收敛微扰的简化推导

Unitary Transformation and Simplified Derivation of Superconvergent Perturbation for Quantum System

如同无限小正则变换服从正则方程一样，经无限小酉变换后的态矢量服从以生成元为哈密顿量、以小参数为‘时间’的薛定谔方程．直接用酉变换给出量子系统超收敛微扰的简化推导．

It is shown just as infinitesimal canonical transformation satisfies canonical equation,that the state vector carried by an infinitesimal unitary transformation satisfies Schrodinger equation with small parameter ε as ‘time’ and generating function as Hamiltonian.A simplified derivation of superconvergent perturbation for quantum system by means of unitary transformation directly are given.