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Information-theoretic measures for a position-dependent mass system in an infinite potential well

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  • da Costa, Bruno G.
  • Gomez, Ignacio S.
Abstract
In this work we calculate the Cramér–Rao, the Fisher–Shannon and the López–Ruiz–Mancini–Calbert (LMC) complexity measures for eigenstates of a deformed Schrödinger equation, being this intrinsically linked with position-dependent mass (PDM) systems. The formalism presented is illustrated with a particle confined in an infinite potential well. Abrupt variation of the complexity near to the asymptotic value of the PDM-function m(x), and erasure of its asymmetry along with negative values of the entropy density in the position space, are reported as a consequence of the interplay between the deformation and the complexity.

Suggested Citation

  • da Costa, Bruno G. & Gomez, Ignacio S., 2020. "Information-theoretic measures for a position-dependent mass system in an infinite potential well," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    • Handle: RePEc:eee:phsmap:v:541:y:2020:i:c:s0378437119320606
    DOI: 10.1016/j.physa.2019.123698
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