Geodesic
A Two-Particle Quantum System with Zero-Range Interaction
Correggi, Michele1 
1 CIRM, Fondazione Bruno Kessler Via Sommarive 14 38100 Trento Italy
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 18, 17 p.

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We study a two-particle quantum system given by a test particle interacting in three dimensions with a harmonic oscillator through a zero-range potential. We give a rigorous meaning to the Schrödinger operator associated with the system by applying the theory of quadratic forms and defining suitable families of self-adjoint operators. Finally we fully characterize the spectral properties of such operators.

Correggi, Michele 1

1 CIRM, Fondazione Bruno Kessler Via Sommarive 14 38100 Trento Italy 
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     title = {A {Two-Particle} {Quantum} {System} with {Zero-Range} {Interaction}},
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Correggi, Michele. A Two-Particle Quantum System with Zero-Range Interaction. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 18, 17 p.. http://geodesic.mathdoc.fr/item/SEDP_2008-2009____A18_0/