Semiclassical Analysis of Schrödinger Operators on Closed Manifolds and Symmetry Reduction

Let M be a closed connected Riemannian manifold. In the first part of this thesis, we develop a functional calculus for h-dependent functions within the theory of semiclassical pseudodifferential operators. Our results lead to semiclassical trace formulas with remainder estimates that are well-suite...

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Bibliographic Details
Main Author: Küster, Benjamin
Contributors: Ramacher, Pablo (Prof. Dr.) (Thesis advisor)
Format: Dissertation
Language:English
Published: Philipps-Universität Marburg 2015
Mathematik und Informatik
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Call Number: urn:nbn:de:hebis:04-z2015-04188
Downloads: 59 (2021), 67 (2020), 59 (2019), 34 (2018), 50 (2017)
Publication Date: 2015-12-23
License: https://creativecommons.org/licenses/by-nc-nd/4.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2015/0418
https://doi.org/10.17192/z2015.0418