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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 1, Pages 115–124
DOI: https://doi.org/10.4213/tmf418
(Mi tmf418)
 

This article is cited in 21 scientific papers (total in 21 papers)

Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Hamiltonian Diagonalization Method

Yu. V. Pavlov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
References:
Abstract: We diagonalize the metric Hamiltonian and evaluate the energy spectrum of the corresponding quasiparticles for a scalar field coupled to a curvature in the case of an $N$-dimensional homogeneous isotropic space. The energy spectrum for the quasiparticles corresponding to the diagonal form of the canonical Hamiltonian is also evaluated. We construct a modified energy-momentum tensor with the following properties: for the conformal scalar field, it coincides with the metric energy-momentum tensor; the energies of the particles corresponding to its diagonal form are equal to the oscillator frequency; and the number of such particles created in a nonstationary metric is finite. We show that the Hamiltonian defined by the modified energy-momentum tensor can be obtained as the canonical Hamiltonian under a certain choice of variables.
Received: 19.06.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 1, Pages 92–100
DOI: https://doi.org/10.1023/A:1005206315688
Bibliographic databases:
Language: Russian
Citation: Yu. V. Pavlov, “Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Hamiltonian Diagonalization Method”, TMF, 126:1 (2001), 115–124; Theoret. and Math. Phys., 126:1 (2001), 92–100
Citation in format AMSBIB
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\by Yu.~V.~Pavlov
\paper Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Hamiltonian Diagonalization Method
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\yr 2001
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\pages 115--124
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\zmath{https://zbmath.org/?q=an:0993.81041}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 126
\issue 1
\pages 92--100
\crossref{https://doi.org/10.1023/A:1005206315688}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000168642200005}
Linking options:
  • https://www.mathnet.ru/eng/tmf418
  • https://doi.org/10.4213/tmf418
  • https://www.mathnet.ru/eng/tmf/v126/i1/p115
  • This publication is cited in the following 21 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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    References:68
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