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Perturbation of eigenvalues embedded at a threshold. (English) Zbl 1094.81024
Summary: Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.

MSC:
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
47A55 Perturbation theory of linear operators
47N50 Applications of operator theory in the physical sciences
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