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KIAM Preprint  37, Moscow, 2015
Authors: Pustyl'nikov L.D.
On the quantum chaos conjecture and generalized continued fractions
Abstract:
The proof of the quantum chaos conjecture for a broad class of quantum systems including the kicked rotator model as a special case is given; the distribution of absolute values of distances between adjacent energy levels is close to Poisson distribution and differs from it by a third order of smallness. The estimate of the remainder term is based on the new theory of generalized continued fractions for vectors.
Keywords:
continued fraction, quantum chaos
Publication language: russian,  pages: 12
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Pustyl'nikov L. D.,  KIAM RAS