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Algebraic structure of Dirac–Pauli equation with account to AMM of neutron in the presence of magnetic field with cylindrical symmetry
Modern Physics Letters A ( IF 1.4 ) Pub Date : 2021-07-19 , DOI: 10.1142/s0217732321501212
Masoud Seidi 1
Affiliation  

The eigenvalues and eigenfunctions of Dirac–Pauli equation have been obtained for a neutron with anomalous magnetic moment (AMM) in the presence of a strong magnetic field with cylindrical symmetry. In our calculations, the Nikiforov and Uvarov (NU) method has been used. Using the eigenfunctions and construction of the ladder operators, we show that these generators satisfy su(2) Lie algebra and computed the second-order Casimir operator of the lie algebra.

中文翻译:

圆柱对称磁场存在下考虑中子AMM的狄拉克-泡利方程的代数结构

在圆柱对称的强磁场存在下,获得了具有反常磁矩(AMM)的中子的狄拉克-泡利方程的特征值和特征函数。在我们的计算中,使用了 Nikiforov 和 Uvarov (NU) 方法。使用梯形算子的特征函数和构造,我们证明了这些生成器满足(2)李代数,计算李代数的二阶Casimir算子。
更新日期:2021-07-19
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