Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
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The Dirac equation is solved exactly under the condition of spin symmetry for a spin 1=2 particle in the field of Mie-type potential and a Coulomb-like tensor interaction via the Laplace transform approach (LTA). The Dirac bound state energy equation and the corresponding normalized wave functions are obtained in closed forms with any spin-orbit coupling term k. The effects of the tensor interaction and the potential parameters on the bound states are also studied. It is noticed that the tensor interaction removes degeneracy between two states in spin doublets. Some numerical results are given and a few special cases of interest are presented. We have demonstrated that in the nonrelativistic limit, the solutions of the Dirac system converges to that of the Schrödinger system. The nonrelativistic limits of the present solutions are compared with the ones obtained by findings of other methods. Our results are sufficiently accurate for practical purpose.
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Articles in the same Issue
- Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
- Estimation of Reduced Partition Function Ratios of Lithium-Graphite Intercalation Compounds by Density Functional Theory
- Optimal Range of Parameters of Hopfield’s Neural Network for Shortest Path Computation in Routing
- On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach
- The Ordered Network Structure of M≥8 Earthquakes and its Prediction for the Ordered Pair Great Earthquakes in Mainland China
- Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
- Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
- The ‘Missing Mass Problem’ in Astronomy and the Need for a Modified Law of Gravity
- Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
Articles in the same Issue
- Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
- Estimation of Reduced Partition Function Ratios of Lithium-Graphite Intercalation Compounds by Density Functional Theory
- Optimal Range of Parameters of Hopfield’s Neural Network for Shortest Path Computation in Routing
- On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach
- The Ordered Network Structure of M≥8 Earthquakes and its Prediction for the Ordered Pair Great Earthquakes in Mainland China
- Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
- Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
- The ‘Missing Mass Problem’ in Astronomy and the Need for a Modified Law of Gravity
- Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
