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.
%0 Journal Article
%1 li:114301
%A Li, Yu-Qi
%A Pan, Xiao-Yin
%A Sahni, Viraht
%D 2013
%I AIP
%J The Journal of Chemical Physics
%K equation field mechanics physics quantum schrodinger solution strong unread
%N 11
%P 114301
%R 10.1063/1.4820245
%T Wave function for time-dependent harmonically confined electrons in a time-dependent electric field
%U http://link.aip.org/link/?JCP/139/114301/1
%V 139
%X 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.
@article{li:114301,
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.},
added-at = {2013-10-04T01:40:30.000+0200},
author = {Li, Yu-Qi and Pan, Xiao-Yin and Sahni, Viraht},
biburl = {https://www.bibsonomy.org/bibtex/2cdaa07e8501eca792931ed2db484d52a/drmatusek},
doi = {10.1063/1.4820245},
eid = {114301},
interhash = {be67938e5a2ec5117439071e6abf18ba},
intrahash = {cdaa07e8501eca792931ed2db484d52a},
journal = {The Journal of Chemical Physics},
keywords = {equation field mechanics physics quantum schrodinger solution strong unread},
month = sep,
number = 11,
numpages = {6},
pages = 114301,
publisher = {AIP},
timestamp = {2013-10-04T01:40:30.000+0200},
title = {Wave function for time-dependent harmonically confined electrons in a time-dependent electric field},
url = {http://link.aip.org/link/?JCP/139/114301/1},
volume = 139,
year = 2013
}