On the asymptotical equations in the harmonic oscillator representation
Nuclear Theory
2008-02-03 v2
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.
Keywords
Cite
@article{arxiv.nucl-th/9604021,
title = {On the asymptotical equations in the harmonic oscillator representation},
author = {G. F. Filippov and A. D. Bazavov and K. Kato and S. V. Korennov},
journal= {arXiv preprint arXiv:nucl-th/9604021},
year = {2008}
}
Comments
Replaced by revised version; text is reformatted and slightly corrected. 6 pages, 5 PostScript pictures, style files included