11–15 Aug 2025
BLTP Conference Hall
Europe/Moscow timezone

Mathematical paradoxes of the Dirac equation representations

15 Aug 2025, 12:30
30m
BLTP Conference Hall

BLTP Conference Hall

BLTP, JINR 6 Joliot-Curie, Dubna, Moscow Region

Speaker

Vasiliy Neznamov (Federal Nuclear Center-All-Russian Research Institute of Experimental Physics (FSUE "RFNC-VNIIEF"))

Description

We examine the Foldy-Wouthuysen, Feynman-Gell-Mann, and self-adjoint representations of the Dirac equation for fermions with spinor wave functions. The analysis is conducted for electrons and positrons interacting with electromagnetic fields. Versions of quantum electrodynamics are considered both within the scope of perturbation theory and in the non-perturbative regime with strong electromagnetic fields. Mathematical artifacts contradicting the physical premises of the theory are identified in the studied representations of the Dirac equation. These mathematical paradoxes are resolved if the theory only employs amplitude states (real and virtual) with positive energies.

Author

Vasiliy Neznamov (Federal Nuclear Center-All-Russian Research Institute of Experimental Physics (FSUE "RFNC-VNIIEF"))

Presentation materials