Ergodic properties of the quantum geodesic flow on tori

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We study ergodic averages for a class of pseudodifferential operators on the flat N-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantization of the geodesic flow on $\bT^N$. We prove that, up to semi-classically negligible corrections, such ergodic averages are translationally invariant operators.
16 pages, latex

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Mathematical Physics, 58J50, 58J40, 81S10

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http://salesiana.dossiersoluciones.com/handle/123456789/57604

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0312053
 http://arxiv.org/abs/math-ph/0312053

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arXiv