Exponential decay of eigenfunctions in many-body type scattering with second order perturbations
Abstract
Description
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.
20 pages, AMS Latex
20 pages, AMS Latex