Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Method of Hamiltonian Diagonalization
arXiv:gr-qc/0012082 · doi:10.1023/A:1005206315688
Abstract
The diagonalization of the metrical Hamiltonian of a scalar field with an arbitrary coupling with a curvature in N-dimensional homogeneous isotropic space is performed. The energy spectrum of the corresponding quasiparticles is obtained. The energies of the quasiparticles corresponding to the diagonal form of the canonical Hamiltonian are calculated. The modified energy-momentum tensor with the following properties is constructed. It coincides with the metrical energy-momentum tensor for conformal scalar field. Under its diagonalization the energies of relevant particles of a nonconformal field coincide to the oscillator frequencies and the density of such particles created in a nonstationary metric is finite. It is shown that the Hamiltonian calculated with the modified energy-momentum tensor can be constructed as a canonical Hamiltonian under the special choice of variables.
to be published in Theor. Math. Phys
References in corpus (1)
Cited by in corpus (13)
- Quantized fields and gravitational particle creation in f(R) expanding universes
- Particle Production in an expanding universe dominated by dark energy fluid
- CCDM model from quantum particle creation: constraints on dark matter mass
- Particle creation in the early Universe: achievements and problems
- Particle creation in the framework of f(G) gravity
- Particle creation in a f(R) theory with cosmological constraints
- Quantum Weak Measurements and Cosmology
- Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models
- The n-wave procedure and dimensional regularization for the scalar field in a homogeneous isotropic space
- Vacuum quantum effects on Lie groups with bi-invariant metrics
- Ultraviolet asymptotics of particle creation with respect to a congruence of observers
- Fifty years of the calculation of the density of particles created in the early Friedmann Universe
- Some effects of the quantum field theory in the early Universe