The Hamilton Operator and Quantum Vacuum for Nonconformal Scalar Fields in the Homogeneous and Isotropic Space

  • Yu. V. Pavlov
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 132)


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.


Scalar Field Oscillator Frequency Hamilton Operator Particle Creation Quantum Vacuum 
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© Springer Basel AG 2002

Authors and Affiliations

  • Yu. V. Pavlov
    • 1
  1. 1.Institute of Mechanical EngineeringRussian Academy of SciencesSt. PetersburgRussia

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