Spacing between phase shifts in a simple scattering problem

Steve Zelditch; Maciej Zworski

doi:10.1007/s002200050663

Spacing between phase shifts in a simple scattering problem

Steve Zelditch^*, Maciej Zworski

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	709-729
Number of pages	21
Journal	Communications in Mathematical Physics
Volume	204
Issue number	3
DOIs	https://doi.org/10.1007/s002200050663
State	Published - 1999

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Spacing between phase shifts in a simple scattering problem",

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.",

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Spacing between phase shifts in a simple scattering problem

Abstract

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