广义绝热乘积展开：求解含时Schroedinger方程的一种非微扰方法
Generalized Adiabatic Product Expansion: A nonperturbative method of solving time-dependent Schroedinger equation
摘要：
我们概述了一种方法的基础上，连续的正则变换产生的产品扩展的一般（可能非厄米）哈密顿的演化算子。对于一类这样的哈密顿展开涉及有限数目的条款，我们的方法给出了相应的含时薛定谔方程的精确解。我们用这种方法研究了一般非简并二能级量子系统、含时经典谐振子和简并系统的动力学，简并系统由自旋1的粒子通过斯塔克哈密顿量H=λ[J.E（t）]^[2]与含时电场E（t）相互作用组成。
英文摘要：
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=λ[J.E(t)]^2.
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