Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8202990 | Physics Letters A | 2018 | 10 Pages |
Abstract
We discuss the Bohmian mechanics using a deformed Schrödinger equation for position-dependent mass systems, in the context of a q-algebra inspired by the nonextensive statistical mechanics. We obtain the Bohmian quantum formalism by means of a deformed version of the Fisher information functional, from which a deformed Cramér-Rao bound is derived. Lagrangian and Hamiltonian formulations, inherited by the q-algebra, are also developed. Then, we illustrate the results with a particle confined in an infinite square potential well. The preservation of the deformed Cramér-Rao bound for eigenstates shows the role played by the q-algebraic structure.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Bruno G. da Costa, Ignacio S. Gomez,