Asymptotic equations for the harmonic-oscillator representation
GENNADY F. FILIPPOV, Alexei Bazavov, Keiichi Kato, S. V. Korennov · arXiv (Cornell University) · 1996
In the harmonic oscillator representation, the Schrodinger equation has a form of a set of infinite number of algebraical equations which are labeled by the radial quantum number n. It is shown that at n>>1 these equations are significantly simplified and become an algebraical analogue of the original differential Schrodinger equation. This result is generalized to the case of multi-channel systems being studied in the framework of the resonating group method.