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

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

2002-04-25

arxiv.org/abs/math/0204316v1

Mathematics

Analysis of PDEs

20 pages, AMS Latex

Scientific paper

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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