Bhyphen;spline expansion bases for excited states and discretized scattering states

摘要

Highhyphen;orderBhyphen;splines provide effective basis functions for constructing solutions to the Schrouml;dinger equation. For highhyphen;lying levels of the Morse potential septic splines yield an accuracy comparable to harmonic oscillators. They can also approximate hydrogenic wavefunctions; typically onehyphen;third of theNeigenvalues of anNtimes;Nmatrix are more accurate than 0.01percnt;. Matrix eigenvectors can also represent scattering states. The approximation is uniformly valid spatially when basis functions terminate sharply.