Comment on the adiabatic condition

Comment on the adiabatic condition
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发表时间：
1999
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通讯作者：
Saad N Nogueira
Saad N Nogueira
中科院分区：
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文献类型：
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作者：
A. Pinto;M. Nemes;J. G. Peixoto De Faria;M. Thomaz;Teresa Maria;R Thomaz;Sávio Domingos;Saad N Nogueira

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量子系统中贝里相效应的实验观察无疑是量子力学叠加原理正确性的最令人印象深刻的证明之一。自1984年贝里的论文发表以来，自旋12与旋转外部磁场的耦合一直是研究最多的模型之一。我们还考虑了这种可解模型的一种特殊情况。对耦合微分方程的详细分析和与精确结果的比较告诉我们为什么通常的程序（忽略非对角项）在数学上是合理的。
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.