Analytic solutions of the double ring-shaped Coulomb potential in quantum mechanics

Analytic solutions of the double ring-shaped Coulomb potential in quantum mechanics
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DOI:
10.1088/1674-1056/22/10/100302
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发表时间:
2013-10
期刊:
影响因子:
1.7
通讯作者:
Chang-Yuan Chen;F. Lu;Dong-Sheng Sun;S. Dong
Chang-Yuan Chen;F. Lu;Dong-Sheng Sun;S. Dong
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Chang-Yuan Chen;F. Lu;Dong-Sheng Sun;S. Dong

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The exact solutions of the Schrodinger equation with the double ring-shaped Coulomb potential are presented, including the bound states, continuous states on the "κ/2π scale", and the calculation formula of the phase shifts. The polar angular wave functions are expressed by constructing the so-called super-universal associated Legendre polynomials. Some special cases are discussed in detail.