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arXiv:1608.05692 [math.DS]AbstractReferencesReviewsResources

The Maslov and Morse indices for Schrödinger operators on $\mathbb{R}$

Peter Howard, Yuri Latushkin, Alim Sukhtayev

Published 2016-08-19Version 1

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 $\mathbb{R}$. In particular, we show that with our choice of convention, the Morse index is precisely the negative of the Maslov index.

Categories: math.DS
Subjects: 34L15
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