paper

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

arXiv: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.

20 pages, AMS Latex

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