Rotations with Rodrigues' Vector

Autor/in	Pina, E.
Titel	Rotations with Rodrigues' Vector
Quelle	In: European Journal of Physics, 32 (2011) 5, S.1171-1178 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0143-0807
DOI	10.1088/0143-0807/32/5/005
Schlagwörter	Motion; Science Instruction; Matrices; Physics; Scientific Concepts; College Science; Quantum Mechanics; Graduate Study + Suchen Sie Ihr Suchwort? Bewegungsablauf; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Matrizenrechnung; Physik; Quantenmechanik; Aufbaustudium; Graduiertenstudium; Hauptstudium
Abstract	The rotational dynamics was studied from the point of view of Rodrigues' vector. This vector is defined here by its connection with other forms of parametrization of the rotation matrix. The rotation matrix was expressed in terms of this vector. The angular velocity was computed using the components of Rodrigues' vector as coordinates. It appears to be a fundamental matrix that is used to express the components of the angular velocity, the rotation matrix and the angular momentum vector. The Hamiltonian formalism of rotational dynamics in terms of this vector uses the same matrix. The quantization of the rotational dynamics is performed with simple rules if one uses Rodrigues' vector and similar formal expressions for the quantum operators that mimic the Hamiltonian classical dynamics. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10