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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