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Zbl 1058.81028
Cherbal, Omar; Maamache, Mustapha; Drir, Mahrez
Nonadiabatic Hannay's angle of spin one half in Grassmannian version and invariant angle coherent states. (English)
[A] Mladenov, Iva\"ilo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6--15, 2002. Sofia: Coral Press Scientific Publishing. 153-160 (2003). ISBN 954-90618-4-1/pbk

Summary: We propose to determinate the nonadiabatic Hannay's angle of spin one half in a varying external magnetic field, by using an averaged version of the variational principal. We also show how the evolotion and this nonadiabatic Hannay's angle is associated with the evolution of Grassmannian invariant-angle coherent states.

MSC 2000:: *81Q70 Differential-geometric methods
81Q05 Closed and approximate solutions to quantum-mechanical equations
81R30 Coherent states in quantum theory

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