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Resonance theory in atom-surface scattering. (English) Zbl 0682.47003
Summary: We study the problem of analytic extension of the resolvent for Hamiltonians arising in scattering of atoms by a quantum surface. We prove that the resolvent extends holomorphically to some regions of the lower half plane with isolated singularities called Landau resonances which are branch points of the resolvent. We study also the effect of impurities on the singularities of the resolvent and show that the presence of impurities adds poles to the Landau resonances.

MSC:
47A40 Scattering theory of linear operators
81U99 Quantum scattering theory
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