Ground State Wave Function of the Schr\"odinger Equation in a Time-Periodic Potential
Condensed Matter
2009-10-28 v1
Abstract
Using a generalized transfer matrix method we exactly solve the Schr\"odinger equation in a time periodic potential, with discretized Euclidean space-time. The ground state wave function propagates in space and time with an oscillating soliton-like wave packet and the wave front is wedge shaped. In a statistical mechanics framework our solution represents the partition sum of a directed polymer subjected to a potential layer with alternating (attractive and repulsive) pinning centers.
Keywords
Cite
@article{arxiv.cond-mat/9604135,
title = {Ground State Wave Function of the Schr\"odinger Equation in a Time-Periodic Potential},
author = {Stefano Galluccio and Yi-Cheng Zhang},
journal= {arXiv preprint arXiv:cond-mat/9604135},
year = {2009}
}
Comments
11 Pages in LaTeX. A set of 2 PostScript figures available upon request at [email protected] . Physical Review Letters