Effective description of a quantum particle constrained to a catenoid
Guillermo Chacón‐Acosta, Héctor H. Hernández, J. Ruvalcaba-Rascón
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
arXiv:2402.15045•Feb 23, 2024•0 citations