期刊文献+
共找到2篇文章
< 1 >
每页显示 20 50 100
Analytic solutions of the double ring-shaped Coulomb potential in quantum mechanics
1
作者 陈昌远 陆法林 +1 位作者 孙东升 董世海 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第10期94-100,共7页
The exact solutions of the Schr6dinger equation with the double ring-shaped Coulomb potential are presented, including the bound states, continuous states on the "k/2π scale", and the calculation formula of the pha... The exact solutions of the Schr6dinger equation with the double ring-shaped Coulomb potential are presented, including the bound states, continuous states on the "k/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. 展开更多
关键词 double ring-shaped Coulomb potential super-universal associated-Legendre polynomial functional analysis method
下载PDF
The Origin and Mathematical Characteristics of the Super-Universal Associated-Legendre Polynomials 被引量:1
2
作者 陈昌远 尤源 +2 位作者 陆法林 孙东升 董世海 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第9期331-337,共7页
We study the mathematical characteristics of the super-universal associated-Legendre polynomials arising from a kind of double ring-shaped potentials and obtain their polar angular wave functions with certain parity. ... We study the mathematical characteristics of the super-universal associated-Legendre polynomials arising from a kind of double ring-shaped potentials and obtain their polar angular wave functions with certain parity. We find that there exists the even or odd parity for the polar angular wave functions when the parameter η is taken to be positive integer, while there exist both even and odd parities when η is taken as positive non-integer real values. The relations among the super-universal associated-Legendre polynomials, the hypergeometric polynomials, and the Jacobi polynomials are also established. 展开更多
关键词 double ring-shaped potential super-universal ASSOCIATED LEGENDRE POLYNOMIALS parity HYPERGEOMETRIC functions JACOBI POLYNOMIALS
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部