Electromagnetism and the holomorphic properties of spacetime

DOI10.1063/1.525165zbMath0472.30040OpenAlexW2057973775MaRDI QIDQ3926857

Nikos A. Salingaros

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525165

zbMATH Keywords

Maxwell equationsClifford algebrasMinkowski spacetimeCauchy-Riemann equations of holomorphy

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Electromagnetic fields in general relativity and gravitational theory (83C50) Electromagnetic theory (general) (78A25) Other generalizations of function theory of one complex variable (32A30)

Related Items (9)

Generalizations of Cauchy-Riemann equations ⋮ Relativistic motion of a charged particle, the Lorentz group, and the Thomas precession ⋮ A general method of generating and classifying Clifford algebras ⋮ Magnetic monopoles without string in the Kähler–Clifford algebra bundle: A geometrical interpretation ⋮ On the classification of Clifford algebras and their relation to spinors in n dimensions ⋮ Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime ⋮ Physical algebras in four dimensions. II: The Majorana algebra ⋮ The Clifford algebra of differential forms ⋮ Orbits of \(Spin^ +(3,1)\), wave packets and asymptotic lepton symmetries

Cites Work

• Complex and quaternionic analyticity in chiral and gauge theories. I
• Cohomology and massless fields
• The index of elliptic operators. III
• On regular-analytic functions with values in a Clifford-algebra
• Multivector calculus
• Multivector functions
• On the singularities of functions with values in a Clifford algebra
• Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen
• Quadratic forms permitting composition
• Particle Aspect of the Electromagnetic Field Equations
• Realization, extension, and classification of certain physically important groups and algebras
• Algebras with three anticommuting elements. I. Spinors and quaternions
• Algebras with three anticommuting elements. II. Two algebras over a singular field
• Application of Spinor Analysis to the Maxwell and Dirac Equations
• Note on Light Quanta and the Electromagnetic Field
• Absolute-valued algebraic algebras

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