Effective description of a quantum particle constrained to a catenoid
Quantum Physics
2024-02-26 v1 Applied Physics
Abstract
We describe a quantum particle constrained on a catenoid, employing an effective description of quantum mechanics based on expected values of observables and quantum dispersions. We obtain semiclassical trajectories for particles, displaying general features of the quantum behaviour; most interestingly, particles present tunneling through the throat of the catenoid, a characteristic having important physical applications
Cite
@article{arxiv.2402.15045,
title = {Effective description of a quantum particle constrained to a catenoid},
author = {Guillermo Chacon Acosta and Hector Hernandez Hernandez and Jose Ruvalcaba Rascon},
journal= {arXiv preprint arXiv:2402.15045},
year = {2024}
}
Comments
12 pages, 10 figures