Work

Plateaux of probability for the expanded quantum infinite well

Year: 2025

Type: article

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.

Source: Physica Scripta

DOI: 10.1088/1402-4896/adb99e

Authors: Fernando Chamizo, Dulcinea Raboso, Osvaldo P Santillán

Institutions: Institute of Mathematical Sciences, Universidad Autónoma de Madrid, Universidad San Pablo CEU, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad de Buenos Aires

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Investigaciones Científicas y Técnicas, Ministerio de Ciencia e Innovación