• Corpus ID: 119577864

Part I: Vector Analysis of Spinors

  title={Part I: Vector Analysis of Spinors},
  author={Garret Sobczyk},
  journal={arXiv: Mathematical Physics},
  • G. Sobczyk
  • Published 21 July 2015
  • Mathematics
  • arXiv: Mathematical Physics
Part I: The geometric algebra G3 of space is derived by extending the real number system to include three mutually anticommuting square roots of +1. The resulting geometric algebra is isomorphic to the algebra of complex 2× 2 matrices, also known as the Pauli algebra. The so-called spinor algebra of C2, the language of the quantum mechanics, is formulated in terms of the idempotents and nilpotents of the geometric algebra G3, including its beautiful representation on the Riemann sphere, and a… 

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