• Corpus ID: 119150528

# Semiclassical analysis and symmetry reduction II. Equivariant quantum ergodicity for invariant Schr\"odinger operators on compact manifolds

@article{Kuster2015SemiclassicalAA,
title={Semiclassical analysis and symmetry reduction II. Equivariant quantum ergodicity for invariant Schr\"odinger operators on compact manifolds},
author={Benjamin Kuster and Pablo Ramacher},
journal={arXiv: Spectral Theory},
year={2015}
}
• Published 29 August 2015
• Mathematics
• arXiv: Spectral Theory
We study the ergodic properties of Schrodinger operators on a compact connected Riemannian manifold $M$ without boundary in case that the underlying Hamiltonian system possesses certain symmetries. More precisely, let $M$ carry an isometric and effective action of a compact connected Lie group $G$. Relying on an equivariant semiclassical Weyl law proved in Part I of this work, we deduce an equivariant quantum ergodicity theorem under the assumption that the symmetry-reduced Hamiltonian flow on…
2 Citations

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