Abstract
Berry's Phase is given by integration of a characteristic two form. We consider integrable systems defined by Weyl quantized classical Hamiltonians. It is shown that the limit of ħ/i times this tow form is the curvature of the classical connection whose holonomy is the Hannay angels. A result of this type was derived by Berry [B2].
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Asch, J. On the classical limit of Berry's phase integrable systems. Commun.Math. Phys. 127, 637–651 (1990). https://doi.org/10.1007/BF02104507
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DOI: https://doi.org/10.1007/BF02104507