Computer Algebra in Spinor Calculations

Franco Piazzese ()
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Franco Piazzese: Department of Physics, Politecnico

A chapter in Clifford Algebras with Numeric and Symbolic Computations, 1996, pp 145-154 from Springer

Abstract: 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.

Keywords: representations of vector spaces; rotations; Euler’s angles; 2-component spinor fields; quantum mechanics; wave equation; MAPLE (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-8157-4_9

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DOI: 10.1007/978-1-4615-8157-4_9

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