Wave Function for Time-Dependent Harmonically Confined Electrons in a Time-Dependent Electric Field

Authors

Yu-Qi Li, Ningbo University
Xiao-Yin Pan, Ningbo University
Viraht Sahni, CUNY Graduate Center and CUNY Brooklyn CollegeFollow

Document Type

Article

Publication Date

9-13-2013

Abstract

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.

Comments

This work was originally published in The Journal of Chemical Physics, available at http://dx.doi.org/10.1063/1.4820245