Exponential decay of eigenfunctions in many-body type scattering with second order perturbations
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0204316,
title = {Exponential decay of eigenfunctions in many-body type scattering with second order perturbations},
author = {Andras Vasy},
journal= {arXiv preprint arXiv:math/0204316},
year = {2007}
}
Comments
20 pages, AMS Latex