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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 1, Pages 73–79 (Mi tmf5847)  
This article is cited in 1 scientific paper (total in 1 paper)

Fractals in quantum theory: analytical and numerical approaches

P. K. Silaev, E. N. Tyurin, O. A. Khrustalev
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Abstract: Quantum systems whose evolution has a fractal nature are considered for the example of the evolution of a wave packet in quantum mechanics. Quantum states in which the evolution of the expectation values of certain operators are described by fractal curves are constructed. The fractal dimensions of these curves are calculated. The presence of an exact analytical result makes it possible to compare the different methods of calculating the fractal dimensions.
Received: 29.05.1991
English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 1, Pages 1064–1068
DOI: https://doi.org/10.1007/BF01016806
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Language: Russian
Citation: P. K. Silaev, E. N. Tyurin, O. A. Khrustalev, “Fractals in quantum theory: analytical and numerical approaches”, TMF, 89:1 (1991), 73–79; Theoret. and Math. Phys., 89:1 (1991), 1064–1068
Citation in format AMSBIB
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\by P.~K.~Silaev, E.~N.~Tyurin, O.~A.~Khrustalev
\paper Fractals in quantum theory: analytical and numerical approaches
\jour TMF
\yr 1991
\vol 89
\issue 1
\pages 73--79
\mathnet{http://mi.mathnet.ru/tmf5847}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1151371}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 89
\issue 1
\pages 1064--1068
\crossref{https://doi.org/10.1007/BF01016806}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991HT16100007}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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