Open Access
VOL. 6 | 2005 Nonadiabatic Geometric Angle in Nuclear Magnetic Resonance Connection
Omar Cherbal, Mustapha Maamache, Mahrez Drir

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2005: 175-182 (2005) DOI: 10.7546/giq-6-2005-175-182


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 Suter et al [12].


Published: 1 January 2005
First available in Project Euclid: 12 June 2015

zbMATH: 1077.81514
MathSciNet: MR2161764

Digital Object Identifier: 10.7546/giq-6-2005-175-182

Rights: Copyright © 2005 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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