The Hamilton Operator and Quantum Vacuum for Nonconformal Scalar Fields in the Homogeneous and Isotropic Space
The diagonalization of the metrical and canonical Hamilton operators of a scalar field with an arbitrary coupling, with a curvature in N-dimensional homogeneous isotropic space is considered in this paper. The energy spectrum of the corresponding quasiparticles is obtained and then the modified energy-momentum tensor is constructed; the latter coincides with the metrical energy-momentum tensor for conformal scalar field. Under the diagonalization of corresponding Hamilton operator the energies of relevant particles of a nonconformal field are equal to the oscillator frequencies, and the density of such particles created in a nonstationary metric is finite. It is shown that the modified Hamilton operator can be constructed as a canonical Hamilton operator under the special choice of variables.
Unable to display preview. Download preview PDF.
- A.A. Grib, S.C. Mamayev and V.M. Mostepanenko, Vacuum quantum effects in strong fields, Friedmann Laboratory Publishing, St. Petersburg, 1994.Google Scholar
- A.A. Grib and S.G. Mamayev, On field theory in the Friedmann space, Yad. Fiz. 10 (1969) 1276. (Engl. trans. in Soy. J. Nucl. Phys. (USA) 10 (1970) 722).Google Scholar
- A.A. Grib and S.G. Mamayev, Creation of matter in the Friedmann model of the Universe, Yad. Fiz. 14 (1971) 800. (Engl. trans. in Soy. J. Nucl. Phys. (USA) 14 (1972) 450).Google Scholar