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arXiv · 2004.00118

Effective quantum tunneling from semiclassical momentous approach

L. Aragon-Muñoz·G. Chacon-Acosta·H. Hernandez-Hernandez
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Abstract

We study the quantum tunnel effect through a potential barrier employing a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and quantum dispersions as dynamical variables. The evolution of the system is given in terms of a dynamical system for which we are able to determine effective trajectories for individual particles, in a total resemblance of the Bohmian description of quantum mechanics. We obtain a type of semiclassical confinement for particles in a similar way as with the quantum potential, and also determine a semiclassical transmission coefficient for the tunneling process.

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L. Aragon-Muñoz, G. Chacon-Acosta, H. Hernandez-Hernandez. 2020-03-31. Effective quantum tunneling from semiclassical momentous approach. https://doi.org/10.1142/s0217979220502719

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