Nonadiabatic Hannay’s angle of spin one half in Grassmannian version and invariant angle coherent states. (English) Zbl 1058.81028

Mladenov, Ivaïlo 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 (ISBN 954-90618-4-1/pbk). 153-160 (2003).
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.
For the entire collection see [Zbl 1008.00022].


81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81R30 Coherent states