Exact solution of the wave dynamics of a particle bouncing chaotically on a periodically oscillating wall

Jorge F. Willemsen

doi:10.1103/PhysRevE.50.3116

Exact solution of the wave dynamics of a particle bouncing chaotically on a periodically oscillating wall

Jorge F. Willemsen

Ocean Sciences

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

An exact solution to the Schrödinger equation corresponding to the problem of a particle falling under gravitational acceleration and bouncing on a harmonically oscillating surface is derived. Stationary phase approximations to the transition amplitudes from an initial state to eigenfunctions of the problem with a fixed surface are worked out and illustrated.

Original language	English (US)
Pages (from-to)	3116-3125
Number of pages	10
Journal	Physical Review E
Volume	50
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.50.3116
State	Published - Jan 1 1994

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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abstract = "An exact solution to the Schr{\"o}dinger equation corresponding to the problem of a particle falling under gravitational acceleration and bouncing on a harmonically oscillating surface is derived. Stationary phase approximations to the transition amplitudes from an initial state to eigenfunctions of the problem with a fixed surface are worked out and illustrated.",

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