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.

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.

@article{SEDP_2008-2009____A18_0,
     author = {Correggi, Michele},
     title = {A {Two-Particle} {Quantum} {System} with {Zero-Range} {Interaction}},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:18},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2008-2009},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_2008-2009____A18_0/}
}
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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://www.numdam.org/item/SEDP_2008-2009____A18_0/

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