AN NMR ROTATION OPERATOR DISENTANGLEMENT STRATEGY FOR ESTABLISHING PROPERTIES OF THE EULER-RODRIGUES PARAMETERS

Authors
SIMINOVITCH DJ HABOT S
Citation
Dj. Siminovitch et S. Habot, AN NMR ROTATION OPERATOR DISENTANGLEMENT STRATEGY FOR ESTABLISHING PROPERTIES OF THE EULER-RODRIGUES PARAMETERS, Journal of physics. A, mathematical and general, 30(7), 1997, pp. 2577-2584
Citations number
38
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
7
Year of publication
1997
Pages
2577 - 2584
Database
ISI
SICI code
0305-4470(1997)30:7<2577:ANRODS>2.0.ZU;2-I
Abstract
A disentanglement of the rotation operator introduced by Santiago and Vaidya is used to prove the composition rule for the Euler-Rodrigues p arameters in a representation-independent manner. It is also shown tha t one of the Santiago and Vaidya disentangling coefficients embodies t he Darboux transformation of differential geometry, which is equivalen t to stereographic projection of the Bloch sphere onto the complex pla ne.