Abstract
The inverse problem, to reconstruct the general multivector wave function from the observable quadratic densities, is solved for 3D geometric algebra. It is found that operators which are applied to the right side of the wave function must be considered, and the standard Fierz identities do not necessarily hold except in restricted situations, corresponding to the spin-isospin superselection rule. The Greider idempotent and Hestenes quaterionic spinors are included as extreme cases of a single superselection parameter.
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© 1993 Springer Science+Business Media Dordrecht
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Pezzaglia, W.M. (1993). Generalized Fierz Identities and the Superselection Rule for Geometric Multispinors. In: Oziewicz, Z., Jancewicz, B., Borowiec, A. (eds) Spinors, Twistors, Clifford Algebras and Quantum Deformations. Fundamental Theories of Physics, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1719-7_11
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DOI: https://doi.org/10.1007/978-94-011-1719-7_11
Publisher Name: Springer, Dordrecht
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