ALGEBRAIC APPROACH TO SPIN SYMMETRY FOR THE DIRAC EQUATION WITH THE TRIGONOMETRIC SCARF POTENTIAL

DOI10.1142/S0217751X10048287zbMath1188.81075OpenAlexW2004586379MaRDI QIDQ3567195

Xiao-Yong Duan, Xu-Yang Liu, Gao-Feng Wei

Publication date: 11 June 2010

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

Full work available at URL: https://doi.org/10.1142/s0217751x10048287

zbMATH Keywords

Dirac equationalgebraic methodspin symmetrytrigonometric scarf potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

• Analytical approximation to the solution of the Dirac equation with the Eckart potential including the spin-orbit coupling term
• Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry
• Application of the exact quantization rule to the relativistic solution of the rotational Morse potential with pseudospin symmetry
• Approximate analytical solutions of the Dirac equation with the Pöschl–Teller potential including the spin–orbit coupling term
• The pseudospin symmetric solution of the Morse potential for any κ state
• κ state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry
• Exact solution of the Dirac–Eckart problem with spin and pseudospin symmetry
• On the pseudo-norm and admissible solutions of the -symmetric Scarf I potential

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