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On Quantum Ergodicity for Vector Bundles

On Quantum Ergodicity for Vector Bundles In the present paper we develop a framework in which questions of quantum ergodicity for operators acting on sections of Hermitian vector bundles over Riemannian manifolds can be studied. We are particularly interested in the case of locally symmetric spaces. For locally symmetric spaces, we extend the recent construction of Silberman and Venkatesh [7] of representation theoretic lifts to vector bundles. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

On Quantum Ergodicity for Vector Bundles

Acta Applicandae Mathematicae , Volume 90 (2) – Jun 16, 2006

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer Science + Business Media B.V.
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-006-9029-2
Publisher site
See Article on Publisher Site

Abstract

In the present paper we develop a framework in which questions of quantum ergodicity for operators acting on sections of Hermitian vector bundles over Riemannian manifolds can be studied. We are particularly interested in the case of locally symmetric spaces. For locally symmetric spaces, we extend the recent construction of Silberman and Venkatesh [7] of representation theoretic lifts to vector bundles.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jun 16, 2006

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