176 citations · 575 across the 8 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2008
Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave
N. Michel
Coulomb wave functions are difficult to compute numerically for extremely low energies, even with direct numerical integration. Hence, it is more convenient to use asymptotic formu…
math-ph2007
Direct demonstration of the completeness of the eigenstates of the Schrodinger equation with local and non-local potentials bearing a Coulomb tail
Nicolas Michel
Demonstrating the completeness of wave functions solutions of the radial Schrodinger equation is a very difficult task. Existing proofs, relying on operator theory, are often very…
math-ph2007★ 60 cited
Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Poschl-Teller-Ginocchio potential wave functions
N. Michel, M. V. Stoitsov
The fast computation of the Gauss hypergeometric function 2F1 with all its parameters complex is a difficult task. Although the 2F1 function verifies numerous analytical properties…