Semiclassical Analysis of Schrödinger Operators on Closed Manifolds and Symmetry Reduction

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: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2015
Subjects:
Mathematik
Geometrische Analysis
spectral theory
Schrödinger operator
Spektraltheorie
Schrödinger Operator
Geometric Analysis
Mathematische Analysis
singular symplectic reduction
singuläre symplektische Reduktion
Mathematics
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