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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 83, Number 3, Pages 406–418 (Mi tmf5819)  
This article is cited in 8 scientific papers (total in 8 papers)

Quantum mechanics over non-Archimedean number fields

A. Yu. Khrennikov
Full-text PDF (1350 kB) Citations (8)
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Abstract: Schrödinger and Bargmann–Fock representations in non-Archimedean quantum mechanics are realized in the spaces $L_2(K^n,dx)$ and $L_2(Z^n,e^{-zz}\,dz\,d\bar z)$ ($K$ is a non-Archimedean field, and $Z=K(\sqrt\tau\,)$ is its quadratic extension) by means of the calculus of pseudodifferential operators.
Received: 17.10.1989
English version:
Theoretical and Mathematical Physics, 1990, Volume 83, Issue 3, Pages 623–632
DOI: https://doi.org/10.1007/BF01018032
Bibliographic databases:
Language: Russian
Citation: A. Yu. Khrennikov, “Quantum mechanics over non-Archimedean number fields”, TMF, 83:3 (1990), 406–418; Theoret. and Math. Phys., 83:3 (1990), 623–632
Citation in format AMSBIB
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\by A.~Yu.~Khrennikov
\paper Quantum mechanics over non-Archimedean number fields
\jour TMF
\yr 1990
\vol 83
\issue 3
\pages 406--418
\mathnet{http://mi.mathnet.ru/tmf5819}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1070695}
\zmath{https://zbmath.org/?q=an:0767.46044|0715.46050}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 3
\pages 623--632
\crossref{https://doi.org/10.1007/BF01018032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EX50100009}
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  • https://www.mathnet.ru/eng/tmf/v83/i3/p406
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:449
    Full-text PDF :205
    References:67
    First page:1
     
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