Wavelets and orthogonal polynomials based on harmonic oscillator eigenstates

DOI10.1063/1.533293zbMath0973.42027OpenAlexW2026670325MaRDI QIDQ2737995

Dao-Qing Dai

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533293

zbMATH Keywords

orthogonal polynomialsHermite functionsconstruction of waveletsmultiresolution decompositionharmonic oscillator eigenstates

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) 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 (3)

Galerkin analysis for Schrödinger equation by wavelets ⋮ Orthonormal polynomial wavelets on the interval ⋮ Construction of orthonormal wavelet-like bases

Cites Work

• Phase-space dynamics and Hermite polynomials of two variables and two indices
• Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates
• Formal improvements in the solution of the wavelet-transformed Poisson and diffusion equations

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