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Spacetime algebra and electron physics

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arxiv quant-ph/0509178 v1 pith:HOFZUBP5 submitted 2005-09-26 quant-ph

C.J.L. Doran , A.N. Lasenby , S.F. Gull , S. Somaroo , A.D. Challinor This is my paper · ORCID
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keywords algebramechanicsmultiparticlephysicsrelativisticspinappearedapplication
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This paper surveys the application of geometric algebra to the physics of electrons. It first appeared in 1996 and is reproduced here with only minor modifications. Subjects covered include non-relativistic and relativistic spinors, the Dirac equation, operators and monogenics, the Hydrogen atom, propagators and scattering theory, spin precession, tunnelling times, spin measurement, multiparticle quantum mechanics, relativistic multiparticle wave equations, and semiclassical mechanics.

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  1. Real spinors and real Dirac equation

    math-ph 2019-08 conditional novelty 4.0 of 10

    The real-spinor form of the Dirac equation, under a two-sided local Lorentz transformation rule, yields a non-Abelian bivector gauge field that generalizes electromagnetism.

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