The Dirac equation in a non-Riemannian manifold. I. An analysis using the complex algebra

DOI10.1063/1.527838zbMath0684.58048OpenAlexW2160739261WikidataQ115332024 ScholiaQ115332024MaRDI QIDQ4734537

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527838

zbMATH Keywords

electromagnetic potentialDirac wave equationnon-Riemannian manifold

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global analysis to the sciences (58Z05) Partial differential equations on manifolds; differential operators (58J99)

Related Items (3)

The Dirac equation in a non-Riemannian manifold: II. An analysis using an internal local n-dimensional space of the Yang–Mills type ⋮ Quaternion-octonion analyticity for Abelian and non-Abelian gauge theories of dyons ⋮ The Dirac equation in a non-Riemannian manifold III: An analysis using the algebra of quaternions and octonions

Cites Work

• On the Interpretation of the Einstein-Schrödinger Unified Field Theory
• An extension of quaternionic metrics to octonions
• A solution of the Cauchy initial value problem in the nonsymmetric theory of gravitation
• Cartan Frames and the General Relativistic Dirac Equation
• The equations of motion in the non-symmetric unified field theory

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