Effective quantum tunneling from semiclassical momentous approach
Quantum Physics
2020-12-30 v2
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.
Cite
@article{arxiv.2004.00118,
title = {Effective quantum tunneling from semiclassical momentous approach},
author = {L. Aragon-Muñoz and G. Chacon-Acosta and H. Hernandez-Hernandez},
journal= {arXiv preprint arXiv:2004.00118},
year = {2020}
}