Clifford algebraic spinor and the Dirac wave equations

DOI10.1007/BF03042037zbMath1038.81034OpenAlexW1998400122MaRDI QIDQ1418370

Qiunan Huang, Shuna Zhang, Xuegang Yu

Publication date: 2001

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03042037

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Clifford algebras, spinors (15A66)

Related Items (2)

The Poincaré mass operator in terms of a hyperbolic algebra ⋮ Relativistic quantum physics with hyperbolic numbers

Cites Work

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• Dirac \(\gamma\)-equation, classical gauge fields and Clifford algebra
• Hyperbolic Lagrangian functions
• A constructive definition for bilinear forms on spinors
• Unitary connection in Maxwell-Dirac isomorphism and the Clifford algebra
• Clifford algebra in classical electrodynamical hydrogen atom model
• Beltrami-Moses spinors in electromagnetism
• Spinorial idempotents in the Clifford algebras three-dimensional vector spaces
• Unipotents, idempotents, and a spinor basis for matrices
• Clifford algebras. Towards a common language for mathematicians and physicists. Some suggested notations
• Albert Crumeyrolle's work on Clifford algebras and spinors
• Hyperbolic multi-topology and the basic principle in quantum mechanics
• The geometrical interpretation of uncertainty relation in Minkowski space

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