Energy-momentum relation for solitary waves of nonlinear Dirac equations
T.V. Dudnikova
TL;DR
This paper demonstrates that solitary waves in various nonlinear Dirac equations follow an energy-momentum relation identical to Einstein's for point particles, bridging quantum field solutions with classical relativistic physics.
Contribution
It proves the energy-momentum relation for solitary waves in nonlinear Dirac equations matches Einstein's relation, establishing a fundamental link between quantum solitons and classical particles.
Findings
Energy-momentum relation for solitary waves matches Einstein's relation.
Applicable to nonlinear Dirac, Maxwell-Dirac, Klein-Gordon-Dirac equations.
Supports the particle-like behavior of solitary waves.
Abstract
Solitary waves of nonlinear Dirac, Maxwell-Dirac and Klein-Gordon-Dirac equations are considered. We prove that the energy-momentum relation for solitary waves coincides with the Einstein energy-momentum relation for point particles.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Photonic Systems · Nonlinear Waves and Solitons