English

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

General Relativity and Quantum Cosmology 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.0802.1972,
  title  = {The quantum theory of scalar fields on the de Sitter expanding universe},
  author = {Ion I. Cotaescu and Cosmin Crucean and Adrian Pop},
  journal= {arXiv preprint arXiv:0802.1972},
  year   = {2008}
}

Comments

16 pages, no figures