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math-ph2009
A mathematical formulation of the Mahaux-Weidenmüller formula for the scattering matrix
T. J. Christiansen, M. Zworski
The purpose of this note is to give a mathematical explanation of a formula for the scattering matrix for a manifold with infinite cylindrical ends or a waveguide. This formula, wh…
math-ph2009
Resonances for Schrodinger operators with compactly supported potentials
T. J. Christiansen, P. D. Hislop
We describe the generic behavior of the resonance counting function for a Schrödinger operator with a bounded, compactly-supported real or complex valued potential in di…