Physics – Mathematical Physics
Scientific paper
2003-12-21
Physics
Mathematical Physics
16 pages, latex
Scientific paper
We study ergodic averages for a class of pseudodifferential operators on the
flat N-dimensional torus with respect to the Schr\"odinger 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.
Klimek Slawomir
Kondracki Witold
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