Effective description of a quantum particle constrained to a catenoid

2024/02/23 by Guillermo Chacon Acosta, Acosta, Guillermo Chacon, Héctor H. Hernández +3
Physics and Astronomy · #81Q20 #81Q35 #Applied Physics (physics.app-ph) #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2402.15045

openalex publication_date 2024/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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