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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf418https://doi.org/10.4213/tmf418 https://www.mathnet.ru/eng/tmf/v126/i1/p115
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Abstract page: | 545 | Full-text PDF : | 219 | References: | 67 | First page: | 1 |
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