Effective description of a quantum particle constrained to a catenoid

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

12 pages, 10 figures