A nonlinear variational problem in relativistic quantum mechanics
Mathieu Lewin (AGM)
TL;DR
This paper discusses recent advances in modeling the relativistic quantum vacuum interacting with classical electromagnetic fields through a nonlinear variational framework, highlighting new theoretical insights.
Contribution
It introduces a novel nonlinear variational model for the relativistic quantum vacuum and presents recent results obtained in collaboration with other researchers.
Findings
Development of a nonlinear variational model for the relativistic quantum vacuum
New theoretical results on vacuum-field interactions
Insights into the mathematical structure of relativistic quantum systems
Abstract
We describe several recent results obtained in collaboration with P. Gravejat, C. Hainzl, E. S\'er\'e and J.P. Solovej, concerning a nonlinear model for the relativistic quantum vacuum in interaction with a classical electromagnetic field.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Partial Differential Equations · Advanced Mathematical Physics Problems