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Zbl 1077.81514
Cherbal, Omar; Maamache, Mustapha; Drir, Mahrez
Nonadiabatic geometric angle in nuclear magnetic resonance connection.
(English)
[A] Mladenov, Iva\"ilo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 175-182 (2005). ISBN 954-84952-9-5/pbk

Summary: By using the Grassmannian invariant-angle coherents states approach, the classical analogue of the Aharonov-Anandan nonadiabatic geometrical phase is found for a spin one-half in Nuclear Magnetic Resonance (NMR). In the adiabatic limit, the semi-classical relation between the adiabatic Berry's phase and Hannay's angle gives exactly the experimental result observed by {\it D. Suter} et al. [Mol. Phys. 61, 1327--1340 (1987)].
MSC 2000:
*81Q70 Differential-geometric methods

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