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Computer Algebra in Spinor Calculations

In: Clifford Algebras with Numeric and Symbolic Computations

Author

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  • Franco Piazzese

    (Department of Physics, Politecnico)

Abstract

In this paper, some relationships between spinor and vector fields are investigated in detail, with the aid of computer algebra (calculations have been performed with MAPLE). In particular, an exact paradigm based on the representations of vector spaces is shown, strictly linking Pauli spinor fields with 3-dimensional rotations and vector fields. As an application, the problem of a classical particle in a central field of force is described in terms of one 2-component spinor field: the spinor equation of motion resembles the wave equation of quantum mechanics.

Suggested Citation

  • Franco Piazzese, 1996. "Computer Algebra in Spinor Calculations," Springer Books, in: Rafał Abłamowicz & Josep M. Parra & Pertti Lounesto (ed.), Clifford Algebras with Numeric and Symbolic Computations, pages 145-154, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-8157-4_9
    DOI: 10.1007/978-1-4615-8157-4_9
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