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arXiv · 2001.07154

Analytic eigenbranches in the semi-classical limit

Stefan Haller
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Abstract

We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results are analogous to a theorem for scalar Schr\"odinger operators on Euclidean space by Luc Hillairet and apply to geometric operators like Witten's Laplacian associated with a Morse function.

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Stefan Haller. 2020-01-20. Analytic eigenbranches in the semi-classical limit. https://doi.org/10.1007/s11785-020-01011-4

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