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TMF, 1991, Volume 86, Number 2, Pages 210–220 (Mi tmf5436)  

This article is cited in 4 scientific papers (total in 4 papers)

$p$-Adic quantum mechanics and coherent states

E. I. Zelenov


Abstract: A system of coherent states is constructed in the framework of $p$-adic quantum mechanics, and its properties are investigated. Weyl systems are considered, and restriction of the representation of the symplectic group to a subgroup is investigated.

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English version:
Theoretical and Mathematical Physics, 1991, 86:2, 143–151

Bibliographic databases:

Received: 18.10.1990

Citation: E. I. Zelenov, “$p$-Adic quantum mechanics and coherent states”, TMF, 86:2 (1991), 210–220; Theoret. and Math. Phys., 86:2 (1991), 143–151

Citation in format AMSBIB
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\by E.~I.~Zelenov
\paper $p$-Adic quantum mechanics and coherent states
\jour TMF
\yr 1991
\vol 86
\issue 2
\pages 210--220
\mathnet{http://mi.mathnet.ru/tmf5436}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1107702}
\zmath{https://zbmath.org/?q=an:0737.22014}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 2
\pages 143--151
\crossref{https://doi.org/10.1007/BF01016165}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GH61300005}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. I. Zelenov, “$p$-adic quantum mechanics and coherent states 2. Oscillator eigenfunctions”, Theoret. and Math. Phys., 86:3 (1991), 258–265  mathnet  crossref  mathscinet  zmath  isi
    2. S. V. Kozyrev, “Methods and Applications of Ultrametric and $p$-Adic Analysis: From Wavelet Theory to Biophysics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S1–S84  mathnet  crossref  crossref  zmath  isi  elib
    3. Vourdas, A, “Quantum mechanics on p-adic numbers”, Journal of Physics A-Mathematical and Theoretical, 41:45 (2008), 455303  crossref  mathscinet  zmath  adsnasa  isi
    4. E. I. Zelenov, “Models of $p$-adic mechanics”, Theoret. and Math. Phys., 174:2 (2013), 247–252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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