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Geometric angles in quantum and classical physics

✍ Scribed by J. Anandan


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
705 KB
Volume
129
Category
Article
ISSN
0375-9601

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This Letter demonstrates the classical origin of the geometrical phase factor for a spin eigenstate which accompanies, adiabatic traversal of a closed path, by the external magnetic field.

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We start with a Galilei-invariant symplectic model of two charged particles with spin and magnetic moment in interaction, which could serve as a model for the (classical) hydrogen atom. To this model we apply two different versions of geometric quantization and we obtain a hamiltonian operator which