Microscopic model for spontaneous fission: Validity of the adiabatic approximation
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چکیده
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15 صفحه اولSufficiency criterion for the validity of the adiabatic approximation.
We examine the quantitative condition which has been widely used as a criterion for the adiabatic approximation but was recently found insufficient. Our results indicate that the usual quantitative condition is sufficient for a special class of quantum mechanical systems. For general systems, it may not be sufficient, but it, along with additional conditions, is sufficient. The usual quantitati...
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Quantitative conditions do not guarantee the validity of the adiabatic approximation.
In this Letter, we point out that the widely used quantitative conditions in the adiabatic theorem are insufficient in that they do not guarantee the validity of the adiabatic approximation. We also reexamine the inconsistency issue raised by Marzlin and Sanders [Phys. Rev. Lett. 93, 160408 (2004)] and elucidate the underlying cause.
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ژورنال
عنوان ژورنال: Physical Review C
سال: 2020
ISSN: 2469-9985,2469-9993
DOI: 10.1103/physrevc.101.064317