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

Bruno G. da Costa and Ignacio S. Gomez

Physica A: Statistical Mechanics and its Applications, 2020, vol. 541, issue C

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.

Keywords: PDM systems; Cramér–Rao complexity; Fisher–Shannon complexity; LMC complexity (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:541:y:2020:i:c:s0378437119320606

DOI: 10.1016/j.physa.2019.123698

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