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  SPACING BETWEEN PHASE SHIFTS IN A SIMPLE SCATTERING PROBLEM

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by The Erwin, Schrodinger International Boltzmanngasse, Steve Zelditch, Steve Zelditch, Maciej Zworski, Maciej Zworski
ftp://ftp.esi.ac.at/pub/Preprints/esi583.ps
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Abstract:

1. Introduction and statement of the result The purpose of this note is to study the pair correlation of phase shifts on manifolds with cylindrical ends in the simplest completely integrable case given by surfaces of revolution with one cylindrical end (see Fig. 1). The Berry-Tabor conjecture for eigenvalue pair correlation functions in the completely integrable

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