Dynamical effects of a one-dimensional multibarrier potential of finite range

D. Bar*, L. P. Horwitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We discuss the properties of a large number N of one-dimensional (bounded) locally periodic potential barriers in a finite interval. We show that the transmission coefficient, the scattering cross section σ, and the resonances of σ depend sensitively upon the ratio of the total spacing to the total barrier width. We also show that a time dependent wave packet passing through the system of potential barriers rapidly spreads and deforms, a criterion suggested by Zaslavsky for chaotic behaviour. Computing the spectrum by imposing (large) periodic boundary conditions we find a Wigner type distribution. We investigate also the S-matrix poles; many resonances occur for certain values of the relative spacing between the barriers in the potential.

Original languageEnglish
Pages (from-to)505-518
Number of pages14
JournalEuropean Physical Journal B
Issue number4
StatePublished - 2 Feb 2002


  • 02.10.Yn Matrix theory
  • 03.65.Nk Scattering theory
  • 05.45.Pq Numerical simulations of chaotic models


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