Exact solution Dirac equation for an energy-dependent potential

Abstract

We study Dirac equation for an energy-dependent potential in the presence of spin and pseudospin symmetries with arbitrary spin-orbit quantum number \( \kappa\) . We calculate the corresponding eigenfunctions and eigenvalues of this system by comparing with analytically solvable energy-dependent potentials. Some numerical results are given in the presence and absence of tensor interaction.

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Correspondence to E. Maghsoodi.

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Hassanabadi, H., Maghsoodi, E., Oudi, R. et al. Exact solution Dirac equation for an energy-dependent potential. Eur. Phys. J. Plus 127, 120 (2012). https://doi.org/10.1140/epjp/i2012-12120-1

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Keywords

  • Dirac Equation
  • Orbital Angular Momentum
  • Symmetry Limit
  • Tensor Interaction
  • Pseudospin Symmetry