The rolling sphere and the quantum spin

Alberto G. Rojo; Anthony M. Bloch

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arXiv · 0906.2934

The rolling sphere and the quantum spin

Alberto G. Rojo·Anthony M. Bloch

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Abstract

We consider the problem of a sphere rolling of a curved surface and solve it by mapping it to the precession of a spin 1/2 in a magnetic field of variable magnitude and direction. The mapping can be of pedagogical use in discussing both rolling and spin precession, and in particular in understanding the emergence of geometrical phases in classical problems.

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Alberto G. Rojo, Anthony M. Bloch. 2009-06-16. The rolling sphere and the quantum spin. https://arxiv.org/abs/0906.2934

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