Exact solutions of the Manning-Rosen potential plus a ring-shaped like potential for the Dirac equation: Spin and pseudospin symmetry

Asgarifar S.; Goudarzi H.

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Exact solutions of the Manning-Rosen potential plus a ring-shaped like potential for the Dirac equation: Spin and pseudospin symmetry

机译：Manning-Rosen势加上Dirac方程的环形似势的精确解：自旋和伪自旋对称

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The analytical bound state solutions of the Dirac equation for the Manning-Rosen potential plus a ring-shaped like potential in spin and pseudospin symmetries are investigated by a proper approximation to the centrifugal term. Using the Nikiforov-Uvarov method, an explicit form of the energy eigenvalue and the corresponding energy eigenstates, expressed in terms of the Jacobi polynomials, are derived. The normalization coefficients of wave functions for spin and pseudospin symmetry solutions are found explicitly.

机译：通过对离心项的适当近似，研究了Manning-Rosen势加上环状类似势的Dirac方程的解析束缚态解。使用Nikiforov-Uvarov方法，可以得出能量本征值和相应能量本征态的明确形式，该形式以Jacobi多项式表示。明确找到了自旋和伪自旋对称解的波动函数的归一化系数。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2013年第2期|共10页
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Asgarifar S.; Goudarzi H.;
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1. Exact solutions of the Manning-Rosen potential plus a ring-shaped like potential for the Dirac equation: Spin and pseudospin symmetry [J] . Asgarifar S., Goudarzi H. Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2013,第2期

机译：Manning-Rosen势加上Dirac方程的环形似势的精确解：自旋和伪自旋对称
2. Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials [J] . A.Suparmi, C.Cari, U.A.Deta 中国物理：英文版 . 2014,第009期

机译：使用罗曼诺夫斯基多项式的自旋和伪自旋对称性，具有新张量耦合电势的围巾势Dirac方程的精确解
3. Exact Spin and Pseudospin Symmetry Solutions of the Dirac Equation for Mie-Type Potential Including a Coulomb-like Tensor Potential [J] . M. Hamzavi, A. A. Rajabi, H. Hassanabadi Few-Body Systems . 2010,第2a4期

机译：包括库仑型张量电势在内的Mie型电势Dirac方程的精确自旋和伪旋对称解
4. Exact Solution of Dirac Equation for q-Deformed Trigonometric Scarf potential with q-Deformed Trigonometric Tensor Coupling Potential for Spin and Pseudospin Symmetries Using Romanovski Polynomial [C] . A. Suparmi, C. Cari, U.A. Deta, Conference of Theoretical Physics and Nonlinear Phenomena . 2014

机译：用Q-变形三角围绕Q-变形三角围绕的Q-变形三角围绕旋转和假旋转型对称使用Romanovski多项式来精确解
5. Orbital Stability Results for Soliton Solutions to Nonlinear Schr?dinger Equations with External Potentials [D] . Lindgren, Joseph B. 2017

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6. Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations [O] . Yongyi Gu, Jianming Qi -1

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7. Hyperbolic Manning-Rosen potential under spin and pseudospin symmetries of the Dirac equation with Coulomb-Hulthén-like tensor interactions [O] . Akpan N. Ikot, E. Maghsoodi, S. Zarrinkamar, 2014

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Exact solutions of the Manning-Rosen potential plus a ring-shaped like potential for the Dirac equation: Spin and pseudospin symmetry

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