Spacing between phase shifts in a simple scattering problem

Steve Zelditch*, Maciej Zworski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We prove a scattering theoretical version of the Berry-Tabor conjecture: for an almost every surface in a class of cylindrical surfaces of revolution, the large energy limit of the pair correlation measure of the quantum phase shifts is Poisson, that is, it is given by the uniform measure.

Original languageEnglish (US)
Pages (from-to)709-729
Number of pages21
JournalCommunications in Mathematical Physics
Volume204
Issue number3
DOIs
StatePublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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