Ergodic properties of the quantum geodesic flow on tori

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dc.creatorKlimek, Slawomir
dc.creatorKondracki, Witold
dc.date2003-12-21
dc.date.accessioned2026-07-07T04:30:49Z
dc.date.available2026-07-07T04:30:49Z
dc.descriptionWe 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.
dc.description16 pages, latex
dc.identifierhttps://arxiv.org/abs/math-ph/0312053
dc.identifierhttp://arxiv.org/abs/math-ph/0312053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57604
dc.subjectMathematical Physics
dc.subject58J50, 58J40, 81S10
dc.titleErgodic properties of the quantum geodesic flow on tori
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