Wave function for time-dependent harmonically confined electrons in a time-dependent electric field.
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.
Department of Physics, Ningbo University, Ningbo 315211, China.
Yu-Qi
YQ
Li
Xiao-Yin
XY
Pan
Viraht
V
Sahni