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

Stefano Galluccio·Yi-Cheng Zhang
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Abstract

Using a generalized transfer matrix method we exactly solve the Schrödinger 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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Stefano Galluccio, Yi-Cheng Zhang. 1996-04-22. Ground State Wave Function of the Schrödinger Equation in a Time-Periodic Potential. https://doi.org/10.1103/physrevlett.77.4118

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