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arXiv · 1907.00206

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

Bruno G. da Costa·Ignacio S. Gomez
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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.

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Bruno G. da Costa, Ignacio S. Gomez. 2019-06-29. Information-theoretic measures for a position-dependent mass system in an infinite potential well. https://doi.org/10.1016/j.physa.2019.123698

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