The Maslov index for Lagrangian pairs on \(\mathbb{R}^{2 n}\). (English) Zbl 1377.35073
Summary: We discuss a definition of the Maslov index for Lagrangian pairs on \(\mathbb{R}^{2 n}\) 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 Schrödinger operators on \([0, 1]\) and \(\mathbb{R}\).
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