From time inversion to nonlinear QED

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dc.creatorJin, Wei Min
dc.date2000-01-11
dc.date2001-01-21
dc.date.accessioned2026-07-07T05:59:30Z
dc.date.available2026-07-07T05:59:30Z
dc.descriptionIn Minkowski flat space-time, it is perceived that time inversion is unitary rather than antiunitary, with energy being a time vector changing sign under time inversion. The Dirac equation, in the case of electromagnetic interaction, is not invariant under unitary time inversion, giving rise to a ``Klein paradox''. To render unitary time inversion invariance, a nonlinear wave equation is constructed, in which the ``Klein paradox'' disappears. In the case of Coulomb interaction, the revised nonlinear equation can be linearized to give energy solutions for Hydrogen-like ions without singularity when nuclear number $Z>137$, showing a reversed energy order pending for experimental tests such as Zeeman effects. In non-relativistic limit, this nonlinear equation reduces to nonlinear schrödinger equation with soliton-like solutions. Moreover, particle conjugation and electron-proton scattering with a nonsingular current-potential interaction are discussed. Finally the explicit form of gauge function is found, the uniqueness of Lorentz gauge is proven and the Lagrangian density of quantum electrodynamics (QED) is revised as well. The implementation of unitary time inversion leads to the ultimate derivation of nonlinear QED.
dc.descriptionLaTex2e 26 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0001029
dc.identifierhttp://arxiv.org/abs/quant-ph/0001029
dc.identifierFound.Phys. 30 (2000) 1943-1973
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88701
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectPattern Formation and Solitons
dc.subjectAtomic Physics
dc.titleFrom time inversion to nonlinear QED
dc.typetext

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