Ring-shaped potential and a class of relevant integrals involved universal associated Legendre polynomials with complicated arguments

DOI10.1155/2017/7374256zbMath1366.33007arXiv1702.06409OpenAlexW2589852310WikidataQ59142196 ScholiaQ59142196MaRDI QIDQ2364314

Yanyan Li

Publication date: 18 July 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06409

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

The visualization of the space probability distribution for a moving particle: in a single ring-shaped Coulomb potential ⋮ Evaluate More General Integrals Involving Universal Associated Legendre Polynomials via Taylor’s Theorem

Cites Work

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• Spin-orbit interaction for the double ring-shaped oscillator
• Pseudospin symmetry and the relativistic ring-shaped non-spherical harmonic oscillator
• Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials
• Universal Associated Legendre Polynomials and Some Useful Definite Integrals
• Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential
• On Integrals Involving Universal Associated Legendre Polynomials and Powers of the Factor (1 −x²) and Their Byproducts

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