Wei, Gao-Feng; Long, Chao-Yun; Duan, Xiao-Yong; Dong, Shi-Hai Arbitrary \(l\)-wave scattering state solutions of the Schrödinger equation for the Eckart potential. (English) Zbl 1138.81530 Phys. Scr. 77, No. 3, Article ID 035001, 5 p. (2008). Summary: The approximately analytical scattering state solutions of the \(l\)-wave Schrödinger equation for the Eckart potential are carried out by a proper approximation to the centrifugal term. The normalized radial wavefunctions of \(l\)-wave scattering states on the ‘\(k/2\pi \) scale’ are presented and the calculation formula of phase shifts is derived. It is interesting to find that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. We consider and verify two special cases: the \(l=0\) and the \(s\)-wave Hulthén potential. Cited in 9 Documents MSC: 81U05 \(2\)-body potential quantum scattering theory PDFBibTeX XMLCite \textit{G.-F. Wei} et al., Phys. Scr. 77, No. 3, Article ID 035001, 5 p. (2008; Zbl 1138.81530) Full Text: DOI