Fractality of certain quantum states
Mathematical Physics
2023-06-14 v2 math.MP
Chaotic Dynamics
Quantum Physics
Abstract
We prove the theorem announced in Phys. Rev. Lett. {\bf 85}:5022, 2001 concerning the existence and properties of fractal states for the Schr\"odinger equation in the infinite one-dimensional well.
Cite
@article{arxiv.math-ph/0107030,
title = {Fractality of certain quantum states},
author = {Daniel Wojcik and Karol Zyczkowski},
journal= {arXiv preprint arXiv:math-ph/0107030},
year = {2023}
}
Comments
Latex2e with svjour class. This article belongs to the special issue of Acta Physica Polonica A printed in honor of Professor Iwo Bialynicki-Birula on the occasion of his 90th birthday (Ed. Tomasz Sowinski, DOI:10.12693/APhysPolA.143.S0)