1CIRM, 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.
Citer cet article
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/
@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},
pages = {1--17},
year = {2008-2009},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SEDP_2008-2009____A18_0/}
}
TY - JOUR
AU - Correggi, Michele
TI - A Two-Particle Quantum System with Zero-Range Interaction
JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1 - talk:18
PY - 2008-2009
SP - 1
EP - 17
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
UR - http://geodesic.mathdoc.fr/item/SEDP_2008-2009____A18_0/
LA - en
ID - SEDP_2008-2009____A18_0
ER -
%0 Journal Article
%A Correggi, Michele
%T A Two-Particle Quantum System with Zero-Range Interaction
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:18
%D 2008-2009
%P 1-17
%I Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://geodesic.mathdoc.fr/item/SEDP_2008-2009____A18_0/
%G en
%F SEDP_2008-2009____A18_0
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.
