High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows

DOI10.1007/s00220-006-0176-0zbMath1114.58014arXivmath/0607616OpenAlexW1978698538WikidataQ61834748 ScholiaQ61834748MaRDI QIDQ883061

Alexander Strohmaier, Dmitry Jakobson

Publication date: 31 May 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607616

zbMATH Keywords

quantum ergodicity

Mathematics Subject Classification ID

Quantum chaos (81Q50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Applications of selfadjoint operator algebras to physics (46L60) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Spectral flows (58J30)

Related Items (9)

The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript ⋮ The local counting function of operators of Dirac and Laplace type ⋮ Detection of Hermitian connections in wave equations with cubic non-linearity ⋮ The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds ⋮ Classical and quantum ergodicity on orbifolds ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ The curl operator on odd-dimensional manifolds ⋮ The Egorov theorem for transverse Dirac-type operators on foliated manifolds ⋮ A Gutzwiller trace formula for Dirac operators on a stationary spacetime

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