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Exponential decay of eigenfunctions in many-body type scattering with second order perturbations

Andras Vasy

math.AParXiv:math/0204316

Abstract

We show the exponential decay of eigenfunctions of second-order geometric many-body type Hamiltonians at non-threshold energies. Moreover, in the case of first order and small second order perturbations we show that there are no eigenfunctions with positive energy.

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