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

## TL;DR

This paper explores information-theoretic measures like Fisher and Shannon complexities for a position-dependent mass quantum system in an infinite well, revealing how deformation affects complexity and entropy properties.

## Contribution

It introduces a formalism to compute complexity measures for PDM systems and analyzes their behavior in a confined quantum setting, highlighting the effects of mass deformation.

## Key findings

- Complexity measures show abrupt variations near the PDM asymptotic values.
- Deformation leads to the erasure of asymmetry in the system.
- Negative entropy density values are observed in position space.

## 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.