Approximate bound states of the Dirac equation with some physical quantum potentials

Abstract

The approximate analytical solutions of the Dirac equations with the reflectionless-type and Rosen-Morse potentials including the spin-orbit centrifugal (pseudo-centrifugal) term are obtained. Under the conditions of spin and pseudospin (pspin) symmetry concept, we obtain the bound state energy spectra and the corresponding two-component upper- and lower-spinors of the two Dirac particles by means of the Nikiforov-Uvarov (NU) method in closed form. The special cases of the s-wave κ=\pm1 (l=l=0) Dirac equation and the non-relativistic limit of Dirac equation are briefly studied.

12 pages, 4 figures

References in corpus (7)

• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
• Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
• Polynomial Solution of Non-Central Potentials
• Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
• Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials

Cited by in corpus (3)

• Relativistic new Yukawa-like potential and tensor coupling
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• Approximate Spin and Pseudospin Solutions of the Dirac equation with Rosen-Morse Potential including a Coulomb Tensor Interaction