Spacings between phase shifts in a simple scattering problem

Details Spacings between phase shifts in a simple scattering problem Spacings between phase shifts in a simple scattering problem

2000-02-03

arxiv.org/abs/math-ph/0002006v1

Physics

Mathematical Physics

Appeared in: Comm. Math. Phys. 204 (1999), 709--729

Scientific paper

10.1007/s002200050663

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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