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

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

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

Galluccio, S; Zhang, Y ^[1]

---

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, Vol. 77, Issue 20; Other Information: PBD: Nov 1996
• Country of Publication: United States
• Language: English

Related Subjects

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