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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 3, Pages 412–423 (Mi tmf5553)  

This article is cited in 5 scientific papers (total in 5 papers)

Quantum mechanics in Riemannian spacetime. II. Operators of observables

É. A. Tagirov

Joint Institute for Nuclear Research
References:
Abstract: The formulation of the generally eovariant analog of standard (nonrelativistic) quantum mechanics in a general Riemannian spacetime begun in earlier studies of the author is continued with the introduction of asymptotic (with respect to $c^{-2}$) operators of the spatial position of a spirdess particle and of the projection of its momentum onto an arbitrary spacetime direction. The connection between the position operator and the generalization of the $V_{1,3}$ Newton–Wigner operator is established. It is shown that the projection of the momentum onto the $4$-velocity of the frame of reference (the energy operator) is unitarily equivalent to the Hamiltonian in the Schrödinger equation.
Received: 15.11.1990
English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 3, Pages 281–288
DOI: https://doi.org/10.1007/BF01036534
Bibliographic databases:
Language: Russian
Citation: É. A. Tagirov, “Quantum mechanics in Riemannian spacetime. II. Operators of observables”, TMF, 90:3 (1992), 412–423; Theoret. and Math. Phys., 90:3 (1992), 281–288
Citation in format AMSBIB
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\by \'E.~A.~Tagirov
\paper Quantum mechanics in Riemannian spacetime.~II. Operators of observables
\jour TMF
\yr 1992
\vol 90
\issue 3
\pages 412--423
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182307}
\zmath{https://zbmath.org/?q=an:0888.35125}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 3
\pages 281--288
\crossref{https://doi.org/10.1007/BF01036534}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KF10700007}
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  • https://www.mathnet.ru/eng/tmf/v90/i3/p412
  • This publication is cited in the following 5 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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