Geodesic
Hannay angles and Grassmannian action-angle quantum states
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 2, pp. 278-289 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show how to derive the Hannay angles of Grassmannian classical mechanics from the evolution of Grassmannian action–angle quantum states. Just as in the commutative case, this evolution defines a geometric transport, which can also be obtained from a quantum canonical transformation or a variational principle. As examples, we explicitly construct the quantum states for the classical counterparts of a first- and second-quantized $N$-level system. In the latter case, these states reduce to standard fermionic coherent states and the classical Hannay angles coincide with the quantum Berry phases.
Keywords: Berry phase, Hannay angle, action–angle fermionic coherent state. 
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H. Lakehal; M. Maamache. Hannay angles and Grassmannian action-angle quantum states. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 2, pp. 278-289. http://geodesic.mathdoc.fr/item/TMF_2020_202_2_a6/

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