%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 }