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

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.

References in corpus (19)

• A Statistical Measure of Complexity
• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Self-adjoint extensions of operators and the teaching of quantum mechanics
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• Generalized algebra within a nonextensive statistics
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• Fisher's information for the position-dependent mass Schrödinger system
• Morse potential derived from first principles
• Monotone measures of statistical complexity
• Revisiting the displacement operator for quantum systems with position-dependent mass
• A position-dependent mass harmonic oscillator and deformed space
• Shannon entropy: a study of confined hydrogenic-like atoms
• Generalized space and linear momentum operators in quantum mechanics
• Position-dependent mass, finite-gap systems, and supersymmetry
• Superintegrable systems with a position dependent mass : Kepler-related and Oscillator-related systems
• Entropy and complexity analysis of the D-dimensional rigid rotator and hyperspherical harmonics
• Entropy and complexity properties of the d-dimensional blackbody radiation
• Renyi entropies as a measure of the complexity of counting problems
• A generalized Vitali set from nonextensive statistics

Cited by in corpus (6)

• $\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass
• On the position dependent effective mass Hamiltonian
• Dynamics of free time-dependent effective mass
• Non-Hermitian fermions with effective mass
• On the singular position-dependent mass
• On two-dimensional Hamiltonian systems with sixth-order integrals of motion