arXiv:quant-ph/9912030 · American Journal of Physics

Comment on the adiabatic condition

A. C. Aguiar Pinto, M. C. Nemes, J. G. Peixoto de Faria, M. T. Thomaz

Published Oct 1, 2000• 15 citations

Abstract

The experimental observation of effects due to Berry’s phase in quantum systems is certainly one of the most impressive demonstrations of the correctness of the superposition principle in quantum mechanics. Since Berry’s original paper in 1984, the spin 12 coupled with a rotating external magnetic field has been one of the most studied models where those phases appear. We also consider a special case of this soluble model. A detailed analysis of the coupled differential equations and comparison with exact results teach us why the usual procedure (of neglecting nondiagonal terms) is mathematically sound.

DOI: 10.1119/1.1285944

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