Quantum Unique Ergodicity for maps on the torus

Details Quantum Unique Ergodicity for maps on the torus Quantum Unique Ergodicity for maps on the torus

2005-01-16

arxiv.org/abs/math-ph/0501044v3

Physics

Mathematical Physics

17 pages Added a construction of non diophantine irrationals with arbitrary slow rate of convergence

Scientific paper

10.1007/s00023-005-0256-2

When a map is classically uniquely ergodic, it is expected that its
quantization will posses quantum unique ergodicity. In this paper we give
examples of Quantum Unique Ergodicity for the perturbed Kronecker map, and an
upper bound for the rate of convergence.

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