Spacings 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.

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

References in corpus (1)

• Level Spacings for Integrable Quantum Maps in Genus Zero

Cited by in corpus (7)

• Level Spacings for Integrable Quantum Maps in Genus Zero
• The spectral density of the scattering matrix for high energies
• Pair correlation for quadratic polynomials mod 1
• Approximation and equidistribution of phase shifts: spherical symmetry
• Universality and scaling of zeros on symplectic manifolds
• The spectral density of the scattering matrix of the magnetic Schrodinger operator for high energies
• Equidistribution of Kronecker sequences along closed horocycles