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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 166–171 (Mi tm182)  
This article is cited in 2 scientific papers (total in 2 papers)

Fuzzy Geometry of Space–Time and Quantum Dynamics

S. N. Mayburov

P. N. Lebedev Physical Institute, Russian Academy of Sciences
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Abstract: Quantum space–time and the phase space of massive particles with fuzzy geometry structure is investigated as a possible method of nonrelativistic quantization. In this model, a particle state corresponds to an element of a fuzzy ordered set, a fuzzy point. It is shown that the mechanics proposed is equivalent to the path integral formalism in quantum mechanics.
Received in October 2003
Bibliographic databases:
UDC: 519.50+530.145
Language: Russian
Citation: S. N. Mayburov, “Fuzzy Geometry of Space–Time and Quantum Dynamics”, Selected topics of $p$-adic mathematical physics and analysis, Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 245, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 166–171; Proc. Steklov Inst. Math., 245 (2004), 154–159
Citation in format AMSBIB
\Bibitem{May04}
\by S.~N.~Mayburov
\paper Fuzzy Geometry of Space--Time and Quantum Dynamics
\inbook Selected topics of $p$-adic mathematical physics and analysis
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 245
\pages 166--171
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm182}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099879}
\zmath{https://zbmath.org/?q=an:1098.81051}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 245
\pages 154--159
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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