Approximate analytical solutions of the Dirac equation with the Pöschl–Teller potential including the spin–orbit coupling term
From MaRDI portal
Publication:3531149
DOI10.1088/1751-8113/41/25/255302zbMath1149.81008OpenAlexW2059707929MaRDI QIDQ3531149
Ying Xu, Su He, Chun-Sheng Jia
Publication date: 21 October 2008
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/41/25/255302
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)
Related Items (28)
Spin and pseudospin symmetry in generalized Manning-Rosen potential ⋮ Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit ⋮ Generalized nuclear Woods-Saxon potential under relativistic spin symmetry limit ⋮ Scalar quantum particle in \((1+2)\)-dimensions Gurses space-time and the energy-momentum distributions ⋮ Exact solutions of the mass-dependent Klein-Gordon equation with the vector quark-antiquark interaction and harmonic oscillator potential ⋮ Dirac equation under scalar, vector, and tensor Cornell interactions ⋮ Exact solutions of a spatially dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method ⋮ Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier ⋮ Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry ⋮ Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta ⋮ Approximate analytical solutions of the Dirac equation with the generalized Pöschl-Teller potential including the pseudo-centrifugal term ⋮ The spin symmetry for deformed generalized Pöschl-Teller potential ⋮ ALGEBRAIC APPROACH TO SPIN SYMMETRY FOR THE DIRAC EQUATION WITH THE TRIGONOMETRIC SCARF POTENTIAL ⋮ Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential ⋮ Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential ⋮ Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthén problem ⋮ EXACT SOLUTION OF DIRAC EQUATION FOR MIE-TYPE POTENTIAL BY USING THE NIKIFOROV–UVAROV METHOD UNDER THE PSEUDOSPIN AND SPIN SYMMETRY LIMIT ⋮ PSEUDOSPIN AND SPIN SYMMETRY FOR THE RING-SHAPED GENERALIZED HULTHÉN POTENTIAL ⋮ Linear confinement of spin-0 relativistic quantum particles in (1+2)-dimensions Gürses space-time ⋮ Relativistic energies for diatomic molecule nucleus motions with the spin symmetry ⋮ Approximate analytical solutions of the Dirac equation with the hyperbolic potential in the presence of the spin symmetry and pseudo-spin symmetry ⋮ Relativistic quantum motion of spin-0 particles with a Cornell-type potential in (1 + 2)-dimensional Gürses spacetime backgrounds ⋮ Cornell and Coulomb interactions for the D-dimensional Klein-Gordon equation ⋮ ARBITRARY l-WAVE BOUND STATE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE ECKART POTENTIAL ⋮ ARBITRARY l-WAVE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE HULTHÉN POTENTIAL MODEL ⋮ APPROXIMATE ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE MANNING–ROSEN POTENTIAL MODEL ⋮ Hulthén and Coulomb-like potentials as a tensor interaction within the relativistic symmetries of the Manning-Rosen potential ⋮ Dirac equation for generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method
This page was built for publication: Approximate analytical solutions of the Dirac equation with the Pöschl–Teller potential including the spin–orbit coupling term