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

作者：Chen Chang Yuan^*; Lu Fa Lin; Sun Dong Sheng; Dong Shi Hai

来源：Chinese Physics B, 2013, 22(10): 100302.

DOI：10.1088/1674-1056/22/10/100302

• double ring-shaped Coulomb potential
• super-universal associated-Legendre polynomial
• functional analysis method

The exact solutions of the Schrodinger equation with the double ring-shaped Coulomb potential are presented, including the bound states, continuous states on the "kappa/2 pi 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.

• 出版日期2013-10
• 单位盐城师范学院