扩展量子无限井的概率高原

arXiv - MATH - Number Theory Pub Date : 2024-09-09 DOI:arxiv-2409.06058

Fernando Chamizo, Dulcinea Raboso, Osvaldo P. Santillán

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引用次数: 0

摘要

如果最初处于基态的标准一维量子无穷势阱突然膨胀，那么在该系统的演化过程中，它们可能会在某些分数时间内出现概率高原，C. Aslangul 在 2008 年注意到了这一点。我们引入了一个数学框架来解释这一现象。值得注意的是，这些高原的特征取决于非微不足道的数论考虑。

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Plateaux of probability for the expanded quantum infinite well

If the standard 1D quantum infinite potential well initially in its ground state suffers a sudden expansion, it turns out that in the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by C. Aslangul in 2008. We introduce a mathematical framework to explain this phenomenon. Remarkably, the characterization of these plateaux depends on nontrivial number theoretical considerations.

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arXiv - MATH - Number Theory

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