Effective description of a quantum particle constrained to a catenoid

• URL: http://arxiv.org/abs/2402.15045v1
• Date: Fri, 23 Feb 2024 01:39:28 GMT
• Title: Effective description of a quantum particle constrained to a catenoid
• Authors: Guillermo Chacon Acosta, Hector Hernandez Hernandez, Jose Ruvalcaba Rascon
• Abstract summary: 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.
• Score: 0.3749861135832073
• License: http://creativecommons.org/licenses/by/4.0/
• 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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