Generic simplicity of resonances. (English) Zbl 0844.47040
Summary: We prove that a generic potential perturbation in Euclidean scattering splits the multiplicities of all resonances. Our argument can in fact be generalized to a class of non-selfadjoint Fredholm operators on an abstract Hilbert space.
MSC:
47N50 | Applications of operator theory in the physical sciences |
47A40 | Scattering theory of linear operators |
47A53 | (Semi-) Fredholm operators; index theories |
81U10 | \(n\)-body potential quantum scattering theory |