The Maslov and Morse indices for Schr\"odinger operators on $\mathbb{R}$
Dynamical Systems
2016-08-22 v1
Abstract
Assuming a symmetric potential that approaches constant endstates with a sufficient asymptotic rate, we relate the Maslov and Morse indices for Schr\"odinger operators on . In particular, we show that with our choice of convention, the Morse index is precisely the negative of the Maslov index.
Cite
@article{arxiv.1608.05692,
title = {The Maslov and Morse indices for Schr\"odinger operators on $\mathbb{R}$},
author = {Peter Howard and Yuri Latushkin and Alim Sukhtayev},
journal= {arXiv preprint arXiv:1608.05692},
year = {2016}
}