HAMILTONIAN DIAGONALIZATION FOR A NONCONFORMAL SCALAR FIELD IN AN ISOTROPIC GRAVITATIONAL BACKGROUND-Reference-Cited by-同舟云学术

HAMILTONIAN DIAGONALIZATION FOR A NONCONFORMAL SCALAR FIELD IN AN ISOTROPIC GRAVITATIONAL BACKGROUND

Published:1998-04 Issue:02 Volume:07 Page:249-259
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

BEZERRA V. B.¹,MOSTEPANENKO V. M.²,ROMERO C.²

Affiliation:

1. Institut de Physique Nucléaire de Lyon, IN2P3/CNRS, Université Claude Bernard, F-69622 Villeurbanne Cedex, France

2. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58059-970 João Pessoa, Pb-Brazil

Abstract

The metrical Hamiltonian is investigated for a nonconformal scalar field with arbitrary coupling in a nonstationary spatially homogeneous isotropic gravitational field. It is shown that this Hamiltonian may be diagonalized by the canonical Bogoliubov transformations of creation-annihilation operators only for the values of coupling coefficient 0 ≤ ξ ≤ 1/6. The quasienergy of quasiparticles diagonalizing the Hamiltonian is shown to differ for the nonconformal case from the effective oscillator frequency of the wave equation. Different definitions of the initial vacuum state for the nonconformal scalar field are discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271898000206

Reference11 articles.

1. New gravitational index theorems and super theorems

2. Quantum fields in curved space-times

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