A pr 1 99 6 Ground state wave function of the Schrödinger equation in a time periodic potential
نویسنده
چکیده
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. PACS numbers: 03.65.Ge; 68.35.Rh
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