Integral representation for scattering phase shifts via the phase-amplitude approach
Integral representation for scattering phase shifts via the phase-amplitude approach
An integral representation for scattering phase shifts is obtained based on a modified version of Milne's phase-amplitude approach [W. E. Milne, Phys. Rev. 35, 863 (1930)]. We replace Milne's nonlinear differential equation for the amplitude function $y$ with an equivalent linear equation for the envelope $\ensuremath{\rho}={y}^{2}$, which renders the integral …