Pseudospin symmetry in the relativistic Killingbeck potential: quasi-exact solution
Majid Hamzavi, Sameer M. Ikhdair, Karl-Erik Thylwe
TL;DR
This paper investigates the Dirac equation with the Killingbeck potential under pseudospin symmetry, providing quasi-exact solutions and exploring special cases like harmonic oscillator and Coulomb potentials.
Contribution
It presents the first quasi-exact solutions of the Dirac equation with the Killingbeck potential under pseudospin symmetry, including special cases.
Findings
Quasi-exact solutions for the Dirac equation with Killingbeck potential obtained.
Special cases of harmonic oscillator and Coulomb potential discussed.
Potential applications in high energy physics contexts.
Abstract
The Killingbeck potential consisting of the harmonic oscillator-plus-Cornell potential, is of great interest in high energy physics. The solution of Dirac equation with the Killingbeck potential is studied in the presence of the pseudospin (p-spin) symmetry within the context of the quasi-exact solutions. Two special cases of the harmonic oscillator and Coulomb potential are also discussed.
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