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On Schr\"odinger equation with potential U = - {\alpha}r^{-1} + {\beta}r + kr^{2} and the bi-confluent Heun functions theory

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Publication:2877861
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zbMath1294.81044arXiv1110.5121MaRDI QIDQ2877861

M. Amirfachrian, Olga V. Veko, Elena M. Ovsiyuk

Publication date: 27 August 2014

Full work available at URL: https://arxiv.org/abs/1110.5121


zbMATH Keywords

Schrödinger equationHeun differential equationquarkonium


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05)


Related Items (4)

Spectra generated by a confined softcore Coulomb potential ⋮ The Lambert-\(W\) step-potential -- an exactly solvable confluent hypergeometric potential ⋮ Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation ⋮ A symbolic-numerical method for solving the differential equation describing the states of polarizable particle in Coulomb potential







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