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

J.P.G. Nascimento, F.A.P. Ferreira, V. Aguiar, I. Guedes and Raimundo N. Costa Filho

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 250-257

Abstract: The Shannon entropy and the Fischer information are calculated for an harmonic oscillator in the presence of an applied electric field (ε) in a space with metrics given by gxx−1∕2=1+γx. For that metric the harmonic oscillator can be mapped into a Morse potential in an Euclidean space. For ε=0, the ground state energy decreases when γ increases. However, for certain values of ε the energy decrease can be canceled out. The dependence of the uncertainties, the entropy, and the information on the parameters γ and ε are shown.

Keywords: Deformed harmonic oscillator; Morse potential; Shannon entropy; Fischer information (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:250-257

DOI: 10.1016/j.physa.2018.02.036

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