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arxiv: 1602.07493 · v1 · pith:U2YFBCQFnew · submitted 2016-02-24 · 🧮 math-ph · math.FA· math.MP

Rellich's theorem and N-body Schrodinger operators

classification 🧮 math-ph math.FAmath.MP
keywords operatorsrellichschrodingertheoremappliesatomscalculusestimate
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We show an optimal version of the Rellich theorem for generalized many-body Schrodinger operators. It applies to singular potentials, in particular to a model for atoms and molecules with infinite mass and finite extent nuclei. Our proof relies on a Mourre estimate and a functional calculus localization technique.

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