Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592762 | Journal of Functional Analysis | 2008 | 30 Pages |
Abstract
We consider a class of singular, zero-range perturbations of the Hamiltonian of a quantum system composed by a test particle and a harmonic oscillator in dimension one, two and three and we study its spectrum. In fact we give a detailed characterization of point spectrum and its asymptotic behavior with respect to the parameters entering the Hamiltonian. We also partially describe the positive spectrum and scattering properties of the Hamiltonian.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory