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 in quantum mechanics|
|81Q05||Closed and approximate solutions to quantum-mechanical equations|
|81R30||Coherent states; squeezed states (quantum theory)|