Spectral Analysis of a Two Body Problem with Zero Range Perturbation

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dc.creatorCorreggi, M.
dc.creatorDell'Antonio, G.
dc.creatorFinco, D.
dc.date2007-08-02
dc.date2007-10-05
dc.date.accessioned2026-07-07T09:46:46Z
dc.date.available2026-07-07T09:46:46Z
dc.descriptionWe consider a class of singular, zero-range perturbations of the Hamiltonian of a quantum system composed by a test particle and a harmonic oscillators in dimension one, two and three and we study its spectrum. In facts 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.
dc.descriptionVersion submitted for publication, AMStex, 22 pages
dc.identifierhttps://arxiv.org/abs/0708.0371
dc.identifierhttp://arxiv.org/abs/0708.0371
dc.identifierJ. Funct. Anal. 255 (2008), 502-531
dc.identifierdoi:10.1016/j.jfa.2008.04.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163640
dc.subjectMathematical Physics
dc.subject81Q10, 81U05
dc.titleSpectral Analysis of a Two Body Problem with Zero Range Perturbation
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