The quantum theory of scalar fields on the de Sitter expanding universe

Abstract

New quantum modes of the free scalar field are derived in a special time-evolution picture that may be introduced in moving charts of de Sitter backgrounds. The wave functions of these new modes are solutions of the Klein-Gordon equation and energy eigenfunctions, defining the energy basis. This completes the scalar quantum mechanics where the momentum basis is well-known from long time. In this enlarged framework the quantization of the scalar field can be done in canonical way obtaining the principal conserved one-particle operators and the Green functions.

16 pages, no figures

References in corpus (1)

• New Dirac quantum modes in moving frames of the de Sitter spacetime

Cited by in corpus (5)

• Interaction between Maxwell field and charged scalar field in de Sitter universe
• Production of scalar particles in electric field on de Sitter expanding Universe
• New Spherical Scalar Modes on the de Sitter Expanding Universe
• Radiation of inertial scalar particles in the de Sitter universe
• Perturbative approach to the problem of particle production in electric field on de Sitter universe