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Comptes Rendus Physique
Volume 5, n° 3
pages 393-406 (avril 2004)
Doi : 10.1016/j.crhy.2004.03.002
Moving bases as an alternative to interaction representations'

Jean  Jeener
Université Libre de Bruxelles (CP-223), B-1050 Brussels, Belgium 

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The use of multiple bases moving with respect to each other in quantum dynamics is discussed. This procedure is formally equivalent to the use of interaction pictures, but it leads to an intuitively simpler interpretation of the calculations. A close analogy is shown between the rotating frames of classical NMR theory and the use of moving (rotating) bases in the corresponding quantum presentation, for the traditional basic NMR experiment and for two problems involving Berry's phase. To cite this article: J. Jeener, C. R. Physique 5 (2004).

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L'usage de bases multiples, mobiles les unes par rapport aux autres, est discuté en dynamique quantique. Cette technique est formellement équivalente à celle des images d'interactions, mais elle mène à des interpretations intuitives plus simples des calculs. Une forte analogie est montrée entre les référentiels tournants de la théorie classique de la RMN et l'usage de bases mobiles (tournantes) dans la présentation quantique correspondante, pour l'expérience de base traditionnelle de la RMN et dans deux problèmes impliquant la phase de Berry. Pour citer cet article : J. Jeener, C. R. Physique 5 (2004).

Mots clés  : Quantum dynamics ; Moving bases ; Rotating frames ; Interaction representations ; NMR theory ; Berry's phase.

Mots clés  : Dynamique quantique ; Bases mobiles ; Référentiels tournants ; Images d'interactions ; Théorie de la RMN ; Phase de Berry.




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