Comment on the Adiabatic Condition

Details Comment on the Adiabatic Condition Comment on the Adiabatic Condition

1999-12-07

arxiv.org/abs/quant-ph/9912030v3

Am. J. of Phys. {\bf 68} (2000) 955-958

Physics

Quantum Physics

9 pages

Scientific paper

10.1119/1.1285944

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 1/2 coupled with 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.

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