Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates

DOI10.1063/1.531931zbMath0891.33007OpenAlexW1998463664MaRDI QIDQ4379249

Jorge Sánchez-Ruiz

Publication date: 29 April 1998

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

Full work available at URL: http://hdl.handle.net/10016/6596

zbMATH Keywords

orthogonal polynomialsquantum-mechanical equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (10)

Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ Wavelets and orthogonal polynomials based on harmonic oscillator eigenstates ⋮ Linearization and connection formulae involving squares of Gegenbauer polynomials ⋮ Quantum information entropies and orthogonal polynomials ⋮ Entropic integrals of orthogonal hypergeometric polynomials with general supports ⋮ SHORT-WAVE ASYMPTOTICS OF THE INFORMATION ENTROPY OF A CIRCULAR MEMBRANE ⋮ Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials ⋮ Information entropy of orthogonal polynomials

Cites Work

• The entropy of position and the spreading of wave packets
• Inequalities in Fourier analysis
• Asymptotic formula for the quantum entropy of position in energy eigenstates
• Sum rules for zeros of polynomials. I
• Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials
• Entropic uncertainty relations for a quantum oscillator
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

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