Position and momentum information-theoretic measures of a \(D\)-dimensional particle-in-a-box

DOI10.1007/s10910-010-9790-3zbMath1305.81041OpenAlexW2044713142WikidataQ58363095 ScholiaQ58363095MaRDI QIDQ537967

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 May 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9790-3

zbMATH Keywords

Fisher informationinformation theoryRenyi entropyTsallis entropyShannon entropyinfinite well potentialinformation-theoretic lengthsentropic momentsLMC shape complexityRydberg states

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 information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (11)

Fisher information and Shannon entropy of position-dependent mass oscillators ⋮ Bohmian formalism and Fisher information from \(q\)-deformed Schrödinger equation ⋮ Information-theoretic measures for a position-dependent mass system in an infinite potential well ⋮ Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box ⋮ On the quantum mechanics of a particle constrained to generalized cylinders with application to Möbius strips ⋮ Comparative analysis of electric field influence on the quantum wells with different boundary conditions. ⋮ Quantum Information Measures of the One‐Dimensional Robin Quantum Well ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals ⋮ Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators ⋮ Entropy and complexity analysis of the \(D\)-dimensional rigid rotator and hyperspherical harmonics

Cites Work

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• Fisher-Shannon plane and statistical complexity of atoms
• LMC complexity for the ground states of different quantum systems
• SUSY QM with a complex partner potential in a one-dimensional box
• The Sobolev inequality and the Tsallis entropic uncertainty relation
• Asymptotic formula for the quantum entropy of position in energy eigenstates
• Quantum and classical probability distributions for position and momentum
• A class of definitions of “duration” (or “uncertainty”) and the associated uncertainty relations
• The momentum entropy of the infinite potential well
• Entropic uncertainty relations for the infinite well
• Asymptotic formulae for the quantum Rényi entropies of position: application to the infinite well
• Complexity Invariance by Replication in the Quantum Square Well

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