Abstract
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.
Citation
Anthony M. Bloch. Alberto G. Rojo. "Kinematics of the Rolling Sphere and Quantum Spin." Commun. Inf. Syst. 10 (4) 221 - 238, 2010.
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