On the asymptotical equations in the harmonic oscillator representation

Details On the asymptotical equations in the harmonic oscillator representation On the asymptotical equations in the harmonic oscillator representation

1996-04-16

arxiv.org/abs/nucl-th/9604021v2

Phys.Atom.Nucl. 60 (1997) 554-557; Yad.Fiz. 60N4 (1997) 635-638

Physics

Nuclear Physics

Nuclear Theory

Replaced by revised version; text is reformatted and slightly corrected. 6 pages, 5 PostScript pictures, style files included

Scientific paper

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.

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