Matrix-differential-operator approach to the Maxwell equations and the Dirac equation

DOI10.1007/s10440-008-9216-4zbMath1165.35050OpenAlexW2061035187WikidataQ115384868 ScholiaQ115384868MaRDI QIDQ934837

Xiaoping Xu

Publication date: 30 July 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9216-4

zbMATH Keywords

Fourier expansionMaxwell equationsinitial-value problemfree Dirac equationsMatrix differential operators

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Matrix equations and identities (15A24) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (1)

Solutions of Navier equations and their representation structure

Cites Work

• Exact solutions of Dirac equation on a 2D gravitational background
• A complete set of symmetry operators for the Dirac equation
• Symmetries and the Dirac equation
• On the connection between solutions of Dirac and Maxwell equations, dual Poincare invariance and superalgebras of invariance and solutions of nonlinear Dirac equations
• Exact solutions of Dirac equation for neutrinos in presence of external fields
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