Fisher information for the position-dependent mass Schrödinger system

DOI10.1016/j.physleta.2015.09.029zbMath1377.94016arXiv1509.08900OpenAlexW2115682287MaRDI QIDQ1691015

F. A. Serrano, Shi-Hai Dong, Babatunde J. Falaye

Publication date: 12 January 2018

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08900

zbMATH Keywords

Fisher informationCramer-Rao inequalityposition dependent mass Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Measures of information, entropy (94A17) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (12)

Properties of quasi-oscillator in position-dependent mass formalism ⋮ Bohmian formalism and Fisher information from \(q\)-deformed Schrödinger equation ⋮ Information-theoretic measures for a position-dependent mass system in an infinite potential well ⋮ Quantum information entropies for a soliton at hyperbolic well ⋮ Schrödinger type equation for subjective identification of supply and demand ⋮ An oscillator with position-dependent mass exposed to a thermal bosonic bath ⋮ The information-theoretic treatment of spinless particles with the assorted diatomic molecular potential ⋮ Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures ⋮ On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics ⋮ Coherent states of position-dependent mass trapped in an infinite square well ⋮ Exact mapping between charge-monopole and position-dependent effective mass systems via Pauli equation ⋮ Quantum thermometry in electromagnetic field of cosmic string spacetime

Cites Work

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• Quantum information entropies for position-dependent mass Schrödinger problem
• Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
• Exactly solvable potentials for the Schrödinger equation with spatially dependent mass
• The Fisher-information-based uncertainty relation, Cramer–Rao inequality and kinetic energy for theD-dimensional central problem
• Fisher information of D-dimensional hydrogenic systems in position and momentum spaces
• Science from Fisher Information
• Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials

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