Spacing Between Phase Shifts in a Simple¶Scattering Problem
نویسندگان
چکیده
منابع مشابه
Spacing between Phase Shifts in a Simple Scattering Problem
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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Suppose P ⊆ N and let (ΣP , σP ) be the spacing shift defined by P . We show that if the topological entropy h(σP ) of a spacing shift is equal zero, then (ΣP , σP ) is proximal. Also h(σP ) = 0 if and only if P = N \ E where E is an intersective set. Moreover, we show that h(σP ) > 0 implies that P is a ∆ ∗-set; and by giving a class of examples, we show that this is not a sufficient condition...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1999
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050663