Exact solution of the relativistic finite-difference equation for the Coulomb plus a ring-shaped-like potential

DOI10.1142/S0217751X19500891zbMath1415.78003OpenAlexW2952766188MaRDI QIDQ5384558

Sh. M. Nagiyev, A. I. Ahmadov

Publication date: 24 June 2019

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x19500891

zbMATH Keywords

dynamical symmetryCoulomb plus ring-shaped potentialfinite-difference relativistic equation of motionMeixner-Pollaczek and Jacobi polynomialsnonrrelativistic limit

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Electromagnetic interaction; quantum electrodynamics (81V10) Applications to the sciences (65Z05) Motion of charged particles (78A35)

Related Items (9)

Analytical solution of the Schrödinger equation for the linear combination of the Manning-Rosen and the class of Yukawa potentials ⋮ Analytical solution of the Duffin-Kemmer-Petiau equation for the sum of Manning-Rosen and Yukawa class potentials ⋮ Bound and scattering states solutions of the Klein–Gordon equation with the attractive radial potential in higher dimensions ⋮ Analytical solution of the Klein-Fock-Gordon equation for the Rosen-Morse potential ⋮ Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field ⋮ Bound state solutions of the Klein–Gordon equation with energy-dependent potentials ⋮ Approximate solutions to the Klein-Fock-Gordon equation for the sum of Coulomb and ring-shaped-like potentials ⋮ Analytical solution of the Schrödinger equation for the linear combination of the Hulthén and Yukawa-class potentials ⋮ Analytical solution of the Klein-Fock-Gordon equation for the modified Klingberg plus ring shaped potentials

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