dorsal/arxiv
View SchemaComment on the Adiabatic Condition
| Authors | A. C. Aguiar Pinto, M. C. Nemes, J. G. Peixoto de Faria, M. T. Thomaz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912030 |
| URL | https://arxiv.org/abs/quant-ph/9912030 |
| DOI | 10.1119/1.1285944 |
| Journal | Am. J. of Phys. {\bf 68} (2000) 955-958 |
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 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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"abstract": "The experimental observation of effects due to Berry\u0027s phase in quantum\nsystems is certainly one of the most impressive demonstrations of the\ncorrectness of the superposition principle in quantum mechanics. Since Berry\u0027s\noriginal paper in 1984, the spin 1/2 coupled with rotating external magnetic\nfield has been one of the most studied models where those phases appear. We\nalso consider a special case of this soluble model. A detailed analysis of the\ncoupled differential equations and comparison with exact results teach us why\nthe usual procedure (of neglecting nondiagonal terms) is mathematically sound.",
"arxiv_id": "quant-ph/9912030",
"authors": [
"A. C. Aguiar Pinto",
"M. C. Nemes",
"J. G. Peixoto de Faria",
"M. T. Thomaz"
],
"categories": [
"quant-ph"
],
"doi": "10.1119/1.1285944",
"journal_ref": "Am. J. of Phys. {\\bf 68} (2000) 955-958",
"title": "Comment on the Adiabatic Condition",
"url": "https://arxiv.org/abs/quant-ph/9912030"
},
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