Exponentials of general multivector in 3D Clifford algebras

DOI10.15388/namc.2022.27.24476zbMath1483.15016arXiv2104.01905OpenAlexW4205348323MaRDI QIDQ5029971

A. Dargys, Arturas Acus

Publication date: 15 February 2022

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01905

zbMATH Keywords

Clifford geometric algebracomputer-aided theoryexponentials of Clifford numbers

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (3)

Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras ⋮ Calculation of the exponential in arbitrary \(Cl_{p,q}\) Clifford algebra ⋮ Logarithm of multivector in real 3D Clifford algebras

Uses Software

• Mathematica
• GeometricAlgebra

Cites Work

• The inverse of a multivector: beyond the threshold \(p+q=5\)
• Multivector and multivector matrix inverses in real Clifford algebras
• On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
• Polar decomposition of complexified quaternions and octonions
• Calculation of quantum eigens with geometrical algebra rotors
• A New Approach to Differential Geometry using Clifford's Geometric Algebra
• Square root of a multivector in 3D Clifford algebras
• Hole spin precession in semiconductors: Clifford algebra approach
• Geometric Multiplication of Vectors
• A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry
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