- Homepage of Markus Maute -

Quaternions

http://www.hyperfract.com/

Motivation/Overview:

• Quaternions and the Heuristic Role of Mathematical Structures in Physics - R. Anderson S.J., G. C. Joshi

   

Technical papers:

• Quaternion-related Cern e-print papers

• Original Paper on Quaternions by W. R. Hamilton

• Quaternionic Groups in Physics: A Panoramic Review

• Quaternionic Analysis - A. Sudbery

• Die funktionentheoretischen Beziehungen der Maxwellschen Aethergleichungen - C. Lanczos

• Quaternions and noncommutative Geometry - K. Morita

• Delocalized Spinors - N.S. Manton, A.F. Schunck

• Hamilton's Quaternions I - T.Y. Lam , II

• Doing Physics with Quaternions - D. B. Sweetser

• Polynomials, Complex numbers and Quaternions - G.A. Jones

• Quaternion Möbius transforms (Jason Hanson)

• Euler's formula and De Moivre's formula for quaternions - E. Cho

 

Biquaternions

• Bicomplex algebra and function theory (Stefan Rönn)

 

Special Relativity

• Quaternions and Special Relativity (Stefano de Leo)

• Quaternions in University-Level Physics - Considering Special Relativity (Martin Erik Horn)

   

General Relativity

• Quaternion and General Relativity

• Quaternionic Form of Relativity (Silberstein)

 

Maxwell Equations

• Quaternions, Maxwell Equations and Lorentz Transformations (M. Acevedo M., J. López-Bonilla and M. Sánchez-Meraz)

• Physical Space as a Quaternion Structure I: Maxwell Equations. A Brief Note (Peter Michael Jack)

• Electromagnetic Theory - C. Davenport

 

Dirac Equation

• The Tensor Analytical Relationship of Dirac's Equation - C. Lanczos

• Breaking the Dirac Code - P. Rowlands

 

Quantum Field Theory

• Quaternionic Quantum Field Theory - S. L. Adler (Download is for free)

 

Related topics: Octonions, Sedenions, Hypercomplex Numbers, Geometric Algebra