Scalar-vector-pseudoscalar Cornell potential for a spin-\({1/2}\) particle under spin and pseudospin symmetries: \({1+1}\) dimensions

DOI10.1016/j.aop.2013.04.007zbMath1284.81113OpenAlexW201846281MaRDI QIDQ2442328

A. A. Rajabi, Majid Hamzavi

Publication date: 3 April 2014

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2013.04.007

zbMATH Keywords

Dirac equationpseudospin symmetryspin symmetrybiconfluent Heun polynomialscalar-vector-pseudoscalar Cornell potential

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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Cites Work

• Unnamed Item
• Dirac equation under scalar, vector, and tensor Cornell interactions
• Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta
• Analytic solution of the Schrödinger equation for the Coulomb-plus-linear potential. I. The wave functions
• Nonrelativistic quantum analysis of the charged particle–dyon system on a conical spacetime
• Exact solutions of the Klein–Gordon equation in the presence of a dyon, magnetic flux and scalar potential in the spacetime of gravitational defects