Kinematics of the Rolling Sphere and Quantum Spin

Bloch, Anthony M.; Rojo, Alberto G.

Commun. Inf. Syst., Tome 10 (2010) no. 2, p. 221-238 / Harvested from Project Euclid

Résumé

We consider the kinematics and control of a sphere rolling of a curved surface and analyze its rotation by mapping the system to the precession of a spin 1/2 in a magnetic field of variable magnitude and direction. This mapping is useful in understanding the role of the geometrical phase and generalizes the kinematic control problem of a ball rolling on a plane.

Publié le : 2010-05-15
Classification:

@article{1290608949,
     author = {Bloch, Anthony M. and Rojo, Alberto G.},
     title = {Kinematics of the Rolling Sphere and Quantum Spin},
     journal = {Commun. Inf. Syst.},
     volume = {10},
     number = {2},
     year = {2010},
     pages = { 221-238},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1290608949}
}

Bloch, Anthony M.; Rojo, Alberto G. Kinematics of the Rolling Sphere and Quantum Spin. Commun. Inf. Syst., Tome 10 (2010) no. 2, pp.  221-238. http://gdmltest.u-ga.fr/item/1290608949/