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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63917We 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 LatexAnalysis of PDEsMathematical Physics35P25 (Primary) 81U99 (Secondary)Exponential decay of eigenfunctions in many-body type scattering with second order perturbationstext