Department of Physics, Ningbo University, Ningbo 315211, China.
J Chem Phys. 2013 Sep 21;139(11):114301. doi: 10.1063/1.4820245.
The many-body wave function of a system of interacting particles confined by a time-dependent harmonic potential and perturbed by a time-dependent spatially homogeneous electric field is derived via the Feynman path-integral method. The wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schrödinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. The wave function reduces to that of the Harmonic Potential Theorem wave function for the case of the time-independent harmonic confining potential.
通过费曼路径积分方法推导出了由时变谐和势约束和时变各向均匀电场微扰的相互作用粒子系统的多体波函数。波函数由相位因子乘以未微扰的时变薛定谔方程的解组成，后者由满足经典驱动运动方程的时变值平移。对于时不变谐和势约束的情况，波函数简化为谐势定理波函数。
