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 Schr\"{o}dinger 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, M. (2009). A Two-Particle Quantum System with Zero-Range Interaction. In Séminaire Équations aux dérivées partielles (Polytechnique).
A Two-Particle Quantum System with Zero-Range Interaction
CORREGGI, MICHELE
2009-01-01
Abstract
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 Schr\"{o}dinger 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.File in questo prodotto:
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