The rolling sphere and the quantum spin

Details The rolling sphere and the quantum spin The rolling sphere and the quantum spin

2009-06-16

arxiv.org/abs/0906.2934v1

Physics

Classical Physics

Scientific paper

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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