Schrodinger operators and associated hyperbolic pencils
Spectral Theory
2009-08-27 v1 Mathematical Physics
math.MP
Abstract
For a large class of Schrodinger operators, we introduce the hyperbolic quadratic pencils by making the coupling constant dependent on the energy in the very special way. For these pencils, many problems of scattering theory are easier to study. Then, we give some applications to the original Schrodinger operators.
Keywords
Cite
@article{arxiv.0908.3682,
title = {Schrodinger operators and associated hyperbolic pencils},
author = {Sergey A. Denisov},
journal= {arXiv preprint arXiv:0908.3682},
year = {2009}
}
Comments
perprint, final version published in Journal Funct. Anal