Octonic second-order equations of relativistic quantum mechanics

DOI10.1063/1.3058644zbMath1189.81086arXiv0803.0375OpenAlexW1494909708MaRDI QIDQ3649936

Victor L. Mironov, Sergey V. Mironov

Publication date: 7 December 2009

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

Full work available at URL: https://arxiv.org/abs/0803.0375

zbMATH Keywords

operatorsmatrix algebrawave functionsrelativistic quantum mechanics

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99)

Related Items (17)

Octonic formulations of Maxwell type fluid equations ⋮ Sedeonic field equations for dyons ⋮ Octonic massless field equations ⋮ Generalized Klein-Gordon field equations with octonion space-time (OST) algebra ⋮ Sedeonic equations of ideal fluid ⋮ A new model for the reformulation of compressible fluid equations ⋮ Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons ⋮ Octonic form of Proca-Maxwell's equations and relativistic derivation of electromagnetism ⋮ Multifluid plasma equations in terms of hyperbolic octonions ⋮ Spacetime algebra for the reformulation of fluid field equations ⋮ SEDEONIC GENERALIZATION OF RELATIVISTIC QUANTUM MECHANICS ⋮ Octonic massive field equations ⋮ Color confinement and spatial dimensions in the complex-sedenion space ⋮ Quaternionic representation of electromagnetism for material media ⋮ OCTONIC FIRST-ORDER EQUATIONS OF RELATIVISTIC QUANTUM MECHANICS ⋮ OCTONIC GRAVITATIONAL FIELD EQUATIONS ⋮ Sedeonic equations of massive fields

Cites Work

• Unnamed Item
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• Triality, biquaternion and vector representation of the Dirac equation
• Cayley-Dickson procedure, relativistic wave equations and supersymmetric oscillators
• A ONE-COMPONENT DIRAC EQUATION
• Relativistic quaternionic wave equation
• OCTONIONIC VERSION OF DIRAC EQUATIONS

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