Ground State Wave Function of the Schrödinger Equation in a Time-Periodic Potential

Details Ground State Wave Function of the Schrödinger Equation in a Time-Periodic Potential Ground State Wave Function of the Schrödinger Equation in a Time-Periodic Potential

1996-04-22

arxiv.org/abs/cond-mat/9604135v1

Physics

Condensed Matter

11 Pages in LaTeX. A set of 2 PostScript figures available upon request at stefano.galluccio@unifr.ch . Physical Review Letter

Scientific paper

10.1103/PhysRevLett.77.4118

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.

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