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

DOI10.1016/J.PHYSA.2019.123698arXiv1907.00206WikidataQ126670889 ScholiaQ126670889MaRDI QIDQ6321267

Bruno G. da Costa, I. Gómez

Publication date: 29 June 2019

Abstract: In this work we calculate the Cram'{e}r-Rao, the Fisher-Shannon and the L'{o}pez-Ruiz-Mancini-Calbert (LMC) complexity measures for eigenstates of a deformed Schr"{o}dinger 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.

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

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