Ground State Wave Function of a Schr{umlt o}dinger-Like Equation in a Time Periodic Potential

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.4118· OSTI ID:397638

Galluccio, S; Zhang, Y ^[1]

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1. Institut de Physique Theorique, Universite de Fribourg, CH-1700 (Switzerland)

Using a generalized transfer matrix method we exactly solve a Schr{umlt o}dinger-like equation in a time periodic potential, with discretized Euclidean space-time. The ground state wave function propagates in space and time with an oscillating solitonlike 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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 397638
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EUCLIDEAN SPACE
GROUND STATES
PERIODIC SYSTEM
POLYMERS
POTENTIALS
SCHROEDINGER EQUATION
SOLITONS
SPACE-TIME
TRANSFER MATRIX METHOD
WAVE FUNCTIONS
WAVE PACKETS