Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry

Lie-Hui Zhang; Xiao-Ping Li; Chun-Sheng Jia

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Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry

机译：存在自旋对称和伪自旋对称的广义摩尔斯势模型的狄拉克方程的近似解析解

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摘要

By employing an improved new approximation scheme to deal with the centrifugal term and the pseudo-centrifugal term, we solve approximately the Dirac equation with the generalized Morse potential model for the arbitrary spin–orbit quantum number K. Under the condition of the spin and pseudospin symmetry, the bound state energy eigenvalues and the associated two-component spinors of the Dirac particle are obtained approximately by using the basic concept of the supersymmetric shape invariance formalism and the function analysis method.

机译：通过采用改进的新的近似方案来处理离心项和拟离心项，我们利用广义莫尔斯电势模型对任意自旋轨道量子数K近似求解Dirac方程。在自旋和拟自旋的条件下通过对称性，利用超对称形状不变性形式化的基本概念和函数分析方法，大致获得了狄拉克粒子的束缚态能量特征值和相关的二元旋量。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2009年第3期|共6页
作者
Lie-Hui Zhang; Xiao-Ping Li; Chun-Sheng Jia;
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正文语种 eng
中图分类物理学;
关键词
pseudo-spin symmetry; Dirac equation; pseudo-centrifugal term;

机译：拟自旋对称性Dirac方程拟离心项;

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1. Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry [J] . Lie-Hui Zhang, Xiao-Ping Li, Chun-Sheng Jia Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2009,第3期

机译：存在自旋对称和伪自旋对称的广义摩尔斯势模型的狄拉克方程的近似解析解
2. Approximate Analytical Solutions of the Dirac Equation with the Hyperbolic Potential in the Presence of the Spin Symmetry and Pseudo-spin Symmetry [J] . Jia CS, Liu JY, Wang PQ, International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2009,第9期

机译：存在自旋对称和伪自旋对称的双曲型Dirac方程的近似解析解
3. Approximate Analytical Solutions of the Dirac Equation with the Hyperbolic Potential in the Presence of the Spin Symmetry and Pseudo-spin Symmetry [J] . Jia CS, Liu JY, Wang PQ, International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2009,第9期

机译：存在自旋对称和伪自旋对称的双曲型Dirac方程的近似解析解
4. Bound State Solutions of the Klein-Gordon Equation for Rosen-Morse Potential in Spin and Pseudo-Spin Symmetry [C] . Bijon Biswas International conference on information technology and applied mathematics . 2020

机译：旋转和伪旋转对称的rosen-morse潜力的Klein-Gordon方程的绑定状态解
5. Four topics in theoretical physics; nuclear stopping power, heavy ion delta excitation, a Dirac spin symmetry, and classical scattering on an extended magnetic monopole. [D] . Bowlin, James Bennett. 1988

机译：理论物理学的四个主题；核停止能力，重离子δ激发，狄拉克自旋对称性和扩展磁单极子上的经典散射。
6. The exact solutions and approximate analytic solutions of the (2 + 1)-dimensional KP equation based on symmetry method [O] . Litao Gai, Sudao Bilige, Yingmo Jie -1

机译：基于对称方法的（2 + 1）维KP方程的精确解和近似解析解
7. An approximate {\kappa} state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry [O] . Ikhdair, Sameer M. 2011

机译：Dirac方程的近似{\ kappa}状态解自旋和赝自旋对称下的广义莫尔斯势
8. Generalized Killing Equations and Symmetries of Spinning Space [R] . Rietdijk, R. H., van Holten, J. W. 1989

机译：广义杀伤方程与旋转空间的对称性

Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry

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