Two-parameter ladder operators for spherical Bessel functions

DOI10.1016/j.aml.2009.12.004zbMath1190.33006OpenAlexW1971299247MaRDI QIDQ963838

Jesús García-Ravelo, Alfonso Queijeiro, Axel Schulze-Halberg, José Juan Peña Gil

Publication date: 14 April 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.12.004

zbMATH Keywords

spherical Bessel functionladder operator

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations

Cites Work

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• Quadratic spherical Bessel functions and the inverse scattering problem
• The general addition theorem and ladder operators
• Generalized ladder operators for the Dirac-Coulomb problem via SUSY QM
• Nonlinear Lie algebra and ladder operators for orbital angular momentum
• Ladder operators for subtle hidden shape-invariant potentials
• Ladder operators for Szegö polynomials and related biorthogonal rational functions
• Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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