Article,

Information measures of a deformed harmonic oscillator in a static electric field

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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, (2018)
DOI: 10.1016/j.physa.2018.02.036

Abstract

The Shannon entropy and the Fischer information are calculated for an harmonic oscillator in the presence of an applied electric field (epsilon) in a space with metrics given by g(xx)(-1/2) = 1 + gamma x. For that metric the harmonic oscillator can be mapped into a Morse potential in an Euclidean space. For epsilon = 0, the ground state energy decreases when gamma increases. However, for certain values of epsilon the energy decrease can be canceled out. The dependence of the uncertainties, the entropy, and the information on the parameters gamma and epsilon are shown. (C) 2018 Elsevier B.V. All rights reserved.

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