arXiv:nucl-th/9604021·v2·Nuclear Theory
On the asymptotical equations in the harmonic oscillator representation
G.F.Filippov🇺🇦 · A.D.Bazavov (Kyiv, Ukraine)🇺🇦 · K.Kato🇯🇵 · S.V.Korennov (Sapporo, Japan)🇺🇦
Abstract
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.
Comments: Replaced by revised version; text is reformatted and slightly corrected. 6 pages, 5 PostScript pictures, style files included