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The Maslov index for Lagrangian pairs on $\mathbb{R}^{2n}$ (1608.00632v1)
Published 1 Aug 2016 in math.DS
Abstract: We discuss a definition of the Maslov index for Lagrangian pairs on $\mathbb{R}{2n}$ based on spectral flow, and develop many of its salient properties. We provide two applications to illustrate how our approach leads to a straightforward analysis of the relationship between the Maslov index and the Morse index for Sch\"odinger operators on $[0,1]$ and $\mathbb{R}$.
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