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

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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 languageEnglish (US)
Pages (from-to)3116-3125
Number of pages10
JournalPhysical Review E
Volume50
Issue number4
DOIs
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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