Quantum statistical effects in one-particle densities: scattering and pair production
Quantum Physics
2024-07-22 v1
Abstract
We study space-time resolved densities of particle-hole pairs produced by an external time-dependent field acting on non-interacting non-relativistic particles. It is shown that, at least in some cases, the densities are not affected by Fermi-Dirac or Bose- Einstein statistics, and are determined only by the initial state of the multi-particle system. The second quantisation technique is extended to Dirac electrons and, with some modifications, to Klein-Gordon bosons. The difference in pair production in these two relativistic cases is analysed in some detail.
Cite
@article{arxiv.2407.13905,
title = {Quantum statistical effects in one-particle densities: scattering and pair production},
author = {X. Gutiérrez de la Cal and M. Alkhateeb and M. Pons and A. Matzkin and D. Sokolovski},
journal= {arXiv preprint arXiv:2407.13905},
year = {2024}
}
Comments
32 pages, 6 figures