High-energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
DOI10.1090/S1079-6762-06-00164-8zbMath1109.81029OpenAlexW1518138015WikidataQ61834750 ScholiaQ61834750MaRDI QIDQ3432112
Dmitry Jakobson, Alexander Strohmaier
Publication date: 13 April 2007
Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1079-6762-06-00164-8
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Partially hyperbolic systems and dominated splittings (37D30)
Cites Work
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- On the ergodicity of frame flows
- On the propagation of polarization sets for systems of real principal type
- Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
- A semiclassical approach to the Dirac equation
- Stable ergodicity and frame flows
- A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators
- Geometry of the transport equation in multicomponent WKB approximations
- Quantum ergodicity of \(C^*\) dynamical systems
- Zitterbewegung and semiclassical observables for the Dirac equation
- Wavetrace asymptotics for operators of dirac type
- Homogenization limits and Wigner transforms
- Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles
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