Effective quantum tunneling from semiclassical momentous approach
- URL: http://arxiv.org/abs/2004.00118v2
- Date: Tue, 21 Jul 2020 16:47:39 GMT
- Title: Effective quantum tunneling from semiclassical momentous approach
- Authors: L. Aragon-Mu\~noz, G. Chacon-Acosta, H. Hernandez-Hernandez
- Abstract summary: We study the quantum tunnel effect through a potential barrier employing a semiclassical formulation of quantum mechanics.
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.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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