Plateaux of probability for the expanded quantum infinite well
Quantum Physics
2024-09-11 v1 Mathematical Physics
math.MP
Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2409.06058,
title = {Plateaux of probability for the expanded quantum infinite well},
author = {Fernando Chamizo and Dulcinea Raboso and Osvaldo P. Santillán},
journal= {arXiv preprint arXiv:2409.06058},
year = {2024}
}
Comments
20 pages, 12 figures