Comment on the Adiabatic Condition
Pinto, A C A, Nemes, M C, De Faria, J G P, Thomaz, M T · CERN Document Server (European Organization for Nuclear Research) · 2000
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 model where those phases appear. We also consider this soluble model. A detailed analysis of the coupled differential equations and comparison with exact results teach us why the usual procedure (of neglecting non-diagonal terms) is mathematically sound.