Quantum Well in Fractional Quantum Mechanics
Quantum Physics
2025-09-01 v1 Mathematical Physics
math.MP
Abstract
Within the framework of fractional quantum mechanics, an exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well - a symmetric one-dimensional finite potential well. A simple graphical algorithm is described for obtaining the number of discrete levels in a quantum well and their associated energy values. The presented results open up new possibilities for emulating fractional quantum mechanics using quantum wells.
Cite
@article{arxiv.2508.21528,
title = {Quantum Well in Fractional Quantum Mechanics},
author = {Nick Laskin},
journal= {arXiv preprint arXiv:2508.21528},
year = {2025}
}
Comments
10 pages