Bound state solution of the Klein–Fock–Gordon equation with the Hulthén plus a ring-shaped-like potential within SUSY quantum mechanics

DOI10.1142/S0217751X18502032zbMath1404.81119arXiv1812.11179OpenAlexW3105223538MaRDI QIDQ4562453

A. I. Ahmadov, Sh. M. Nagiyev, M. V. Qocayeva, K. Uzun, V. A. Tarverdiyeva

Publication date: 20 December 2018

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

Full work available at URL: https://arxiv.org/abs/1812.11179

zbMATH Keywords

supersymmetric quantum mechanicsNikiforov-Uvarov methodHulthén and ring-shaped potential

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) 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) Atomic physics (81V45) Supersymmetry and quantum mechanics (81Q60)

Related Items (11)

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 bound state solutions of the Klein-Fock-Gordon equation for the sum of Hulthén and Yukawa potential within SUSY quantum mechanics ⋮ Arbitrary \(\ell\)-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a class of Yukawa potentials ⋮ Exact solution of the relativistic finite-difference equation for the Coulomb plus a ring-shaped-like potential ⋮ Analytical eigenstate solutions of Schrödinger equation with noncentral generalized oscillator potential by extended Nikiforov-Uvarov method ⋮ Analytical solution of the Klein-Fock-Gordon equation for the Rosen-Morse potential ⋮ 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 Klein-Fock-Gordon equation for the modified Klingberg plus ring shaped potentials

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