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arXiv · 1608.05692

The Maslov and Morse indices for Schr\"odinger operators on $\mathbb{R}$

Peter Howard·Yuri Latushkin·Alim Sukhtayev
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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 $\mathbb{R}$. In particular, we show that with our choice of convention, the Morse index is precisely the negative of the Maslov index.

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Peter Howard, Yuri Latushkin, Alim Sukhtayev. 2016-08-19. The Maslov and Morse indices for Schr\"odinger operators on $\mathbb{R}$. https://arxiv.org/abs/1608.05692

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