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TMF, 1971, Volume 8, Number 3, Pages 359–368 (Mi tmf4413)  

This article is cited in 2 scientific papers (total in 2 papers)

On the quantization of a particle in an external gravitational field

G. A. Vilkovyskii


Abstract: The quasiclassical approximation is studied for a quantum particle in an external gravitational field and the ambiguity of the quantum Hamiltonian is discussed. A particle in an externaI gravitational field is quantized in accordance with the Feynman procedure.

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English version:
Theoretical and Mathematical Physics, 1971, 8:3, 889–895

Received: 28.12.1970

Citation: G. A. Vilkovyskii, “On the quantization of a particle in an external gravitational field”, TMF, 8:3 (1971), 359–368; Theoret. and Math. Phys., 8:3 (1971), 889–895

Citation in format AMSBIB
\Bibitem{Vil71}
\by G.~A.~Vilkovyskii
\paper On the quantization of a~particle in an external gravitational field
\jour TMF
\yr 1971
\vol 8
\issue 3
\pages 359--368
\mathnet{http://mi.mathnet.ru/tmf4413}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 8
\issue 3
\pages 889--895
\crossref{https://doi.org/10.1007/BF01029345}


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  • http://mi.mathnet.ru/eng/tmf/v8/i3/p359

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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. G. A. Vilkovyskii, “On the relation between quantum propagators and geometrical parallel transport”, Theoret. and Math. Phys., 16:1 (1973), 694–701  mathnet  crossref
    2. V. G. Zima, S. A. Fedoruk, “Covariant quantization of $d=4$ Brink–Schwarz superparticle with using of Lorentz harmonics”, Theoret. and Math. Phys., 102:3 (1995), 305–322  mathnet  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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