Quantum statistical effects in one-particle densities: scattering and pair production

• URL: http://arxiv.org/abs/2407.13905v1
• Date: Thu, 18 Jul 2024 21:34:11 GMT
• Title: Quantum statistical effects in one-particle densities: scattering and pair production
• Authors: X. Gutiérrez de la Cal, M. Alkhateeb, M. Pons, A. Matzkin, D. Sokolovski,
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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