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An NMR rotation operator disentanglement strategy for establishing properties of the Euler - Rodrigues parameters

David J Siminovitch and Simon Habot

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A disentanglement of the rotation operator introduced by Santiago and Vaidya is used to prove the composition rule for the Euler - Rodrigues parameters in a representation-independent manner. It is also shown that one of the Santiago and Vaidya disentangling coefficients embodies the Darboux transformation of differential geometry, which is equivalent to stereographic projection of the Bloch sphere onto the complex plane.


PACS

02.40.-k Geometry, differential geometry, and topology

02.20.Qs General properties, structure, and representation of Lie groups

MSC

53A20 Projective differential geometry

53A40 Other special differential geometries

Subjects

Mathematical physics

Dates

Issue 7 (7 April 1997)

Received 14 October 1996



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