On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravito-electromagnetism
From MaRDI portal
Publication:2958738
DOI10.1002/mma.3378zbMath1362.35297arXiv1406.2915OpenAlexW1917531394MaRDI QIDQ2958738
Rainer Picard, Marcus Waurick, Sascha Trostorff
Publication date: 3 February 2017
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.2915
Dirac operatorMaxwell's equationsevolutionary equationsgravito-electromagnetismMaxwell-Dirac systemextended Maxwell system
Electromagnetic fields in general relativity and gravitational theory (83C50) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items
The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields, A method for approximate computation of waveguide scattering matrices, The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling, On a class of degenerate abstract parabolic problems and applications to some eddy current models, On a Hilbert space framework for evolutionary systems of classical mathematical physics: a survey
Cites Work
- Gravitoelectromagnetism in a complex Clifford algebra
- A characterization of boundary conditions yielding maximal monotone operators
- Partial differential equations. A unified Hilbert space approach
- An elementary proof for a compact imbedding result in generalized electromagnetic theory
- On a structural observation in generalized electromagnetic theory
- Dirac equation and the Ivanenko-Landau-Kähler equation
- Unitary connection in Maxwell-Dirac isomorphism and the Clifford algebra
- Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
- Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries
- On non-autonomous evolutionary problems
- Die natürlichen Randwertaufgaben im Außenraum für Strahlungsfelder beliebiger Dimension und beliebigen Ranges
- Transmission boundary problems for Dirac operators on Lipschitz domains and applications to Maxwell’s and Helmholtz’s equations
- Stabilized boundary element methods for low-frequency electromagnetic scattering
- Quaternionic time-harmonic Maxwell operator
- On the Well-Posedness of the Maxwell System for Linear Bianisotropic Media
- Differential forms on riemannian manifolds
- A New Formulation on the Electromagnetic Field
- On the low frequency asymptotics in electromagnetic theory.
- A structural observation for linear material laws in classical mathematical physics
- Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains
- Null structure and almost optimal local well-posedness of the Maxwell-Dirac system
- Complete low frequency asymptotics for time-harmonic generalized Maxwell equations in nonsmooth exterior domains
- Eigensolution expansions for generalized maxwell fields on c0,1manifolds with boundary
- Maxwell's equations when the charge conservation is not satisfied
- Quantised singularities in the electromagnetic field,
- On electromagnetic waves in complex linear media in nonsmooth domains
- On non‐autonomous integro‐differential‐algebraic evolutionary problems
- GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS
- Current and Charge Integral Equation Formulations and Picard's Extended Maxwell System
- A coupled Maxwell integrodifferential model for magnetization processes
