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Fisher information and Shannon entropy of position-dependent mass oscillators

Author

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  • Macedo, D.X.
  • Guedes, I.

Abstract

We calculate the Fisher information and the Shannon entropy for three position-dependent mass oscillators. These systems can be seen as deformed harmonic oscillators in the sense that when the deformation parameter (λ) goes to zero, they are identical to the constant mass harmonic oscillator. For two out of the three oscillators we observe that asλ increases the position Fisher information (Fx) increases while the momentum Fisher information (Fp) decreases. On the other hand, the Shannon entropy always increases for the three systems with increasing λ. Discussion about squeezing effect in either position or momentum due to the λ variation and a relation between the product of Fisher information and the Shannon entropy are also presented.

Suggested Citation

  • Macedo, D.X. & Guedes, I., 2015. "Fisher information and Shannon entropy of position-dependent mass oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 211-219.
    • Handle: RePEc:eee:phsmap:v:434:y:2015:i:c:p:211-219
    DOI: 10.1016/j.physa.2015.04.003
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