Creation of the Nonconformal Scalar Particles in Nonstationary Metric
  The nonconformal scalar field is considered in N-dimensional space-time with metric which includes, in particular, the cases of nonhomogeneous spaces and anisotropic spaces of Bianchi type-I. The modified Hamiltonian is constructed. Under the diagonalization of it the energy of quasiparticles is equal to the oscillator frequency of the wave equation. The density of particles created by nonstationary metric is investigated. It is shown that the densities of conformal and nonconformal particles created in Friedmann radiative-dominant Universe coincide. 
Yu. V. Pavlov