Asymptotic number of scattering resonances for generic Schrodinger operators
Spectral Theory
2015-06-05 v1 Mathematical Physics
Complex Variables
math.MP
Abstract
Let -Delta+V be the Schrodinger operator acting on L^2(R^d,C) with d>2 odd. Here V is a bounded real or complex function vanishing outside the closed ball of center 0 and of radius a. We show for generic potentials V that the number of resonances of -Delta+V with modulus less than r is approximatively equal to a constant times a^dr^d.
Keywords
Cite
@article{arxiv.1207.4273,
title = {Asymptotic number of scattering resonances for generic Schrodinger operators},
author = {Tien-Cuong Dinh and Duc-Viet Vu},
journal= {arXiv preprint arXiv:1207.4273},
year = {2015}
}
Comments
27 pages