标题： 广义绝热乘积展开：求解时间依赖薛定谔方程的非微扰方法 显示英文标题

标题： Generalized Adiabatic Product Expansion: A nonperturbative method of solving time-dependent Schroedinger equation

摘要： 我们概述了一种基于连续规范变换的方法，该方法可为一般（可能非厄米）哈密顿量的演化算符提供一个乘积展开式。 对于这类哈密顿量中的某些情况，该展开式包含有限项，我们的方法给出了相应时变薛定谔方程的精确解。 我们将这种方法应用于研究一般非简并两能级量子系统的动力学、时变经典谐振子以及由自旋1粒子通过斯塔克哈密顿量 H=\lambda [J.E(t)]^2 与时间依赖电场 E(t) 相互作用的简并系统。 显示英文摘要

摘要： We outline a method based on successive canonical transformations which yields a product expansion for the evolution operator of a general (possibly non-Hermitian) Hamiltonian. For a class of such Hamiltonians this expansion involves a finite number of terms, and our method gives the exact solution of the corresponding time-dependent Schroedinger equation. We apply this method to study the dynamics of a general nondegenerate two-level quantum system, a time-dependent classical harmonic oscillator, and a degenerate system consisting of a spin 1 particle interacting with a time-dependent electric field E(t) through the Stark Hamiltonian H=\lambda [J.E(t)]^2.