摘要
The symmetry and |m| partial-wave analysis for two-dimensional (2D) Coulomb-scattering is investigated. As a function of energyE, the |m| partial-wave scattering amplitudef |m|(θ) is analytically continuated to the, negativeE (complexk) plane, and it is found that the bound state energy eigenvalues (E<0) are just located at the poles off |m|(θ) on the positive imaginaryk axis as is expected. In addition, as a function of |m|,f |m|(θ) is analytically continuated to the complex |m| plane, the bound state energy eigenvalues are just located at the poles off |m|(θ) on the positive real |m| axis.
The symmetry and |m| partial-wave analysis for two-dimensional (2D) Coulomb-scattering is investigated. As a function of energy E, the |m| partial-wave scattering amplitude f| (θ) is analytically continuated to the negative E (complex k) plane, m| and it is found that the bound state energy eigenvalues (E<0) are just located at the poles of f| (θ) on the positive imaginary k axis as is expected. In addition, as a function of |m|, m| f| (θ) is analytically continuated to the complex |m| plane, the bound state energy m| eigenvalues are just located at the poles of f| (θ) on the positive real |m| axis.
