2007/08/31 by Michele Correggi, M. Correggi, Gianfausto Dell’Antonio +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Material Science and Thermodynamics #Nuclear physics research studies #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:81Q10 #msc:81U05
paper · pdf · doi:10.1016/j.jfa.2008.04.005
published as J. Funct. Anal. 255 (2008), 502-531 · Version submitted for publication, AMStex, 22 pages
arxiv created 2007/10/05 · openalex publication_date 2008/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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.