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Preprints of the Keldysh Institute of Applied Mathematics, 2015, 037, 12 pp. (Mi ipmp2000)  

On the quantum chaos conjecture and generalized continued fractions

L. D. Pustyl'nikov
References:
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.
Document Type: Preprint
UDC: 511.41
Language: Russian
Citation: L. D. Pustyl'nikov, “On the quantum chaos conjecture and generalized continued fractions”, Keldysh Institute preprints, 2015, 037, 12 pp.
Citation in format AMSBIB
\Bibitem{Pus15}
\by L.~D.~Pustyl'nikov
\paper On the quantum chaos conjecture and generalized continued fractions
\jour Keldysh Institute preprints
\yr 2015
\papernumber 037
\totalpages 12
\mathnet{http://mi.mathnet.ru/ipmp2000}
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  • https://www.mathnet.ru/eng/ipmp2000
  • https://www.mathnet.ru/eng/ipmp/y2015/p37
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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