Development of spinor descriptions of rotational mechanics from Euler's rigid body displacement theorem

Details Development of spinor descriptions of rotational mechanics from Euler's rigid body displacement theorem Development of spinor descriptions of rotational mechanics from Euler's rigid body displacement theorem

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..193v&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, March 1984, p. 193-207. Research supported by the Consiglio Nazionale delle Ricer

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2

Celestial Mechanics, Euler Equations Of Motion, Quaternions, Rotating Bodies, Spinor Groups, Displacement, Rigid Structures

Scientific paper

A new approach to quaternions and to one-index spinors in the Euclidean three-space is offered, directly derived from the vector formulation of the Euler's theorem on the general displacement of a rigid body with a fixed point. A linear and injective correspondence between quaternions and one-index spinors is introduced, leading to a spinor formulation of rotations as a natural extension of the usual quaternion automorphism and providing other kinematic relations in the spin space as well as the recovery of the usual Pauli spinor formalism.

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