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 (20)

• Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
• Generalized Pseudo-SU(3) Model and Pairing
• Pseudo-spin Symmetry and Relativistic Single-nucleon Wave Functions
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Rotation and vibration of diatomic molecule in the spatially-dependent mass Schrodinger equation with generalized q-deformed Morse potential
• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Two approximations to the bound states of Dirac-Hulthen problem
• Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
• Improved analytical approximation to arbitrary l-state solutions of the Schrodinger equation for the hyperbolical potentials
• Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
• Polynomial Solution of Non-Central Potentials
• Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
• Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthen problem
• Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
• Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials
• Solution of the Dirac equation by separation of variables in spherical coordinates for a class of three-parameter non-central electromagnetic potential
• Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials
• Bound states of the Klein-Gordon equation in D-dimensions with some physical scalar and vector exponential-type potentials including orbital centrifugal term

Cited by in corpus (9)

• Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Relativistic new Yukawa-like potential and tensor coupling
• Solutions of N-dimensional Schrödinger Equation with Morse Potential Via Laplace Transforms
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential
• Approximate Spin and Pseudospin Solutions of the Dirac equation with Rosen-Morse Potential including a Coulomb Tensor Interaction