Plateaux of probability for the expanded quantum infinite well
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 Aslangul in 2008. We introduce a mathematical framework to explain this phenomenon. Remarkably, the characterization of these plateaux depends on nontrivial number theoretical considerations.
Authors
- Dulcinea Raboso
- Osvaldo P. Santillán (ORCID: https://orcid.org/0000-0001-9896-1771)
- Fernando Chamizo (ORCID: https://orcid.org/0000-0003-2793-7920)
Institutions
- Universidad San Pablo CEU (ES)
- Universidad de Buenos Aires (AR)
- Fundación Ciencias Exactas y Naturales (AR)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Physica Scripta
- Published
- 2025-02-24
- DOI
- https://doi.org/10.1088/1402-4896/adb99e
- Primary Topic
- Laser-Matter Interactions and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Consejo Nacional de Investigaciones Científicas y Técnicas