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Relation Between the Dirac Spinor and the Hestenes Spinor

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Quantum Mechanics in the Geometry of Space-Time

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Abstract

One shows that the quaternion and the biquaternion may be considered as real forms of the Pauli and the Dirac spinors. Then relations with the real Hestenes spinor are clarified.

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References

  1. A. Sommerfeld, Atombau und spectrallinien. (Fried Vieweg, Braunschweig, 1960)

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  2. G. Jakobi, G. Lochak, C.R. Ac. Sc. Paris 243, 234 (1956)

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  3. D. Hestenes, Space–Time Algebra. (Gordon and Breach, New-York, 1966)

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  4. S. Gull, in The Electron, ed. by D. Hestenes and A. Weingartshofer (Kluwer, Dordrecht, 1991), p. 233

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Correspondence to Roger Boudet .

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© 2011 Springer-Verlag Berlin Heidelberg

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Boudet, R. (2011). Relation Between the Dirac Spinor and the Hestenes Spinor. In: Quantum Mechanics in the Geometry of Space-Time. SpringerBriefs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19199-2_15

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  • DOI: https://doi.org/10.1007/978-3-642-19199-2_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19198-5

  • Online ISBN: 978-3-642-19199-2

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