Spectral resolution in hyperbolic orbifolds, quantum chaos, and cosmology
H. Then
TL;DR
This paper explores the spectral resolution of the Laplacian across physics, connecting hyperbolic orbifolds, quantum chaos, and cosmology to reveal underlying mathematical structures.
Contribution
It introduces a unified perspective on spectral analysis in diverse physical contexts, highlighting new insights into the Laplacian's role.
Findings
Spectral properties relate to hyperbolic geometry
Connections between quantum chaos and spectral theory
Implications for cosmological models
Abstract
We present a few subjects from physics that have one in common: the spectral resolution of the Laplacian.
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Taxonomy
TopicsGeometric and Algebraic Topology · Quantum chaos and dynamical systems · Geometry and complex manifolds