Levinson's theorem for Schroedinger operators with point interaction: a topological approach
Mathematical Physics
2009-11-11 v1 Functional Analysis
math.MP
Abstract
In this note Levinson theorems for Schroedinger operators in R^n with one point interaction at 0 are derived using the concept of winding numbers. These results are based on new expressions for the associated wave operators.
Keywords
Cite
@article{arxiv.math-ph/0607042,
title = {Levinson's theorem for Schroedinger operators with point interaction: a topological approach},
author = {Johannes Kellendonk and Serge Richard},
journal= {arXiv preprint arXiv:math-ph/0607042},
year = {2009}
}
Comments
7 pages