Information-theoretic measures for a position-dependent mass system in an infinite potential well
Quantum Physics
2020-01-29 v1 Mathematical Physics
math.MP
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 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
Cite
@article{arxiv.1907.00206,
title = {Information-theoretic measures for a position-dependent mass system in an infinite potential well},
author = {Bruno G. da Costa and Ignacio S. Gomez},
journal= {arXiv preprint arXiv:1907.00206},
year = {2020}
}