If hamilton had prevailed: quaternions in physics

@article{Lambek1995IfHH,
  title={If hamilton had prevailed: quaternions in physics},
  author={J. Lambek},
  journal={The Mathematical Intelligencer},
  year={1995},
  volume={17},
  pages={7-15}
}
  • J. Lambek
  • Published 1995
  • Physics
  • The Mathematical Intelligencer
This is a nostalgic account of how two certain key results in modern theoretical physics (prior to World War II) can be expressed concisely in the language of quaternions, thus suggesting how they might have been discovered if Hamilton’s views had prevailed. In the first instance, biquaternions are used to discuss special relativity and Maxwell’s equations. To express Dirac’s equation of the electron, we are led to replace the complex number / by the right regular representation of the… Expand
43 Citations

References

SHOWING 1-10 OF 10 REFERENCES
LXXVI. Quaternionic form of relativity
  • 50
  • PDF
Biquaternion vectorfields over Minkowski space
  • 6
Rotations, Quaternions, and Double Groups
  • 655
Schr̈odinger: Life and Thought
  • 194
Life and thought
  • 47
Basic Algebra I
  • 1,283
Theory Of Relativity
  • 1,085
The Theory Of Groups And Quantum Mechanics
  • 1,901