A band factorization technique for transition matrix element asymptotics

DOI10.1016/j.cpc.2006.05.003zbMath1196.81290OpenAlexW2154963393MaRDI QIDQ709980

I. David Abrahams, Emmanuel Perrey-Debain

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2006.05.003

zbMATH Keywords

harmonic oscillatortransition matrixorthogonal polynomialquasi-classical approximation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Computational methods for problems pertaining to quantum theory (81-08) Molecular physics (81V55) Numerical approximation and evaluation of special functions (33F05)

Uses Software

• HOTPOT

Cites Work

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• Effective computation of matrix elements between polynomial basis functions
• Numerical and symbolic calculation of the multipole matrix elements in the axial and triaxial harmonic oscillator basis
• One-dimensional Schrödinger equation in the harmonic oscillator basis with various potentials
• On the interaction of the type λx2/(1+g x2)
• Efficient Storage Scheme for Precalculated Wigner 3j, 6j and Gaunt Coefficients

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