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• W1978698538 abstract "We relate high-energy limits of Laplace-type and Dirac-type operators to frame flows on the corresponding manifolds, and show that the ergodicity of frame flows implies quantum ergodicity in an appropriate sense for those operators. Observables for the corresponding quantum systems are matrix-valued pseudodifferential operators and therefore the system remains non-commutative in the high-energy limit. We discuss to what extent the space of stationary high-energy states behaves classically." @default.
• W1978698538 created "2016-06-24" @default.
• W1978698538 creator A5002765072 @default.
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• W1978698538 date "2007-01-09" @default.
• W1978698538 modified "2023-10-17" @default.
• W1978698538 title "High Energy Limits of Laplace-Type and Dirac-Type EigenFunctions and Frame Flows" @default.
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• W1978698538 doi "https://doi.org/10.1007/s00220-006-0176-0" @default.
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