On the classical limit of Berry’s phase integrable systems. (English) Zbl 0698.58026
The author proves that the semi-classical limit of the Berry’s phase is given in terms of Hannay’s angles. This result was conjectured by Berry.
Reviewer: D.Robert
MSC:
| 53D50 | Geometric quantization |
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 81Q99 | General mathematical topics and methods in quantum theory |
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