The Journal of Chemical Physics

Wave function for time-dependent harmonically confined electrons in a time-dependent electric field

Yuqi Li, Xiao‐Yin Pan, Viraht Sahni

Published Sep 16, 2013• 8 citations

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.

DOI: 10.1063/1.4820245

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