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arXiv · 2407.13905

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

X. Gutiérrez de la Cal·M. Alkhateeb·M. Pons·A. Matzkin·D. Sokolovski
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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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X. Gutiérrez de la Cal, M. Alkhateeb, M. Pons, A. Matzkin, D. Sokolovski. 2024-07-18. Quantum statistical effects in one-particle densities: scattering and pair production. https://arxiv.org/abs/2407.13905

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