Quaternions and special relativity

DOI10.1063/1.531548zbMath0870.53061arXivhep-th/9508011OpenAlexW3101155612MaRDI QIDQ5284253

Stefano De Leo

Publication date: 2 April 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9508011

zbMATH Keywords

complexified quaternionsreal linear quaternions

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Special relativity (83A05)

Related Items

Geometrical applications of split octonions ⋮ From the kinematics of precession motion to generalized Rabi cycles ⋮ Matrix representation of octonions and generalizations ⋮ A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory ⋮ Quaternionic electroweak theory and Cabibbo-Kobayashi-Maskawa matrix ⋮ Theory and phenomenology for a variety of classical and quantum phase transitions ⋮ LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory ⋮ Biquaternions and their complex matrix representations ⋮ Rotations in the space of Split octonions ⋮ A new implementation of LSMR algorithm for the quaternionic least squares problem ⋮ Quantum mechanics: From complex to complexified quaternions ⋮ On the quaternion transformation and field equations in curved space-time ⋮ A structure-preserving algorithm for the quaternion Cholesky decomposition ⋮ Octonionic representations of GL(8,ℛ) and GL(4,𝒞) ⋮ Quaternionic analyticity ⋮ Clifford algebra approach of 3D Ising model ⋮ Quaternions for GUTs

Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7
• A quaternion representation of the Lorentz group for classical physical applications
• Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules
• Quantised singularities in the electromagnetic field,

This page was built for publication: Quaternions and special relativity