The quantum theory of the free Maxwell field on the de Sitter expanding universe
arXiv:0806.2515 · doi:10.1143/PTP.124.1051
Abstract
The theory of the free Maxwell field in two moving frames on the de Sitter spacetime is investigated pointing out that the conserved momentum and energy operators do not commute to each other. This leads us to consider new plane waves solutions of the Maxwell equation which are eigenfunctions of the energy operator. Such particular solutions complete the theory in which only the solutions of given momentum were considered so far. The energy eigenfunctions can be obtained thanks to our new time-evolution picture proposed previously for the scalar and Dirac fields. Considering both these types of modes, it is shown that the second quantization of the free electromagnetic potential in the Coulomb gauge can be done in a canonical manner as in special relativity. The principal conserved one-particle operators associated to Killing vectors are derived, concentrating on the energy, momentum and total angular momentum operators.
17 pages no figures
References in corpus (6)
- The Unruh effect and its applications
- The quantum theory of scalar fields on the de Sitter expanding universe
- New Dirac quantum modes in moving frames of the de Sitter spacetime
- Polarized vector bosons on the de Sitter expanding universe
- The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
- On the universality of the Carter and McLenaghan formula
Cited by in corpus (25)
- The physical meaning of the de Sitter invariants
- Fermion production in a magnetic field in a de Sitter Universe
- Polarized vector bosons on the de Sitter expanding universe
- Fermion production in Coulomb field on de Sitter universe
- Interaction between Maxwell field and charged scalar field in de Sitter universe
- Production of scalar particles in electric field on de Sitter expanding Universe
- Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
- Covariant representations of the de Sitter isometry group
- First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factor
- Production of Z bosons and neutrinos in early universe
- Radiation of inertial scalar particles in the de Sitter universe
- A perturbative production of massive Z bosons and fermion-antifermion pairs from the vacuum in the de Sitter Universe
- Annihilation of the scalar pair into a photon on de Sitter spacetime
- One-photon pair production on the expanding de Sitter spacetime
- Longitudinal Doppler effect in de Sitter expanding universe
- Time evolution of the free Dirac field in spatially flat FLRW space-times
- Flat limit of the de Sitter QFT in the rest frame vacuum
- Photon propagator for inflation in the general covariant gauge
- Reply to the "Comment on Fermion production in a magnetic field in a de Sitter Universe"
- Quantum Larmor radiation in de Sitter spacetime
- Photon quantization in cosmological spaces
- Quantum theory of redshift in de Sitter expanding universe
- Total probability and number of particles for fermion production in external electric and magnetic fields in de Sitter universe
- Integral representation of the scalar propagators on the de Sitter expanding universe
- Perturbative approach to the problem of particle production in electric field on de Sitter universe