dorsal/arxiv
View SchemaOn the asymptotical equations in the harmonic oscillator representation
| Authors | G. F. Filippov, A. D. Bazavov, K. Kato, S. V. Korennov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9604021 |
| URL | https://arxiv.org/abs/nucl-th/9604021 |
| Journal | Phys.Atom.Nucl. 60 (1997) 554-557; Yad.Fiz. 60N4 (1997) 635-638 |
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.
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"abstract": "In the harmonic oscillator representation, the Schrodinger equation has a\nform of a set of infinite number of algebraical equations which are labeled by\nthe radial quantum number \"n\". It is shown that at n\u003e\u003e1 these equations are\nsignificantly simplified and become an algebraical analogue of the original\ndifferential Schrodinger equation. This result is generalized to the case of\nmulti-channel systems being studied in the framework of the resonating group\nmethod.",
"arxiv_id": "nucl-th/9604021",
"authors": [
"G. F. Filippov",
"A. D. Bazavov",
"K. Kato",
"S. V. Korennov"
],
"categories": [
"nucl-th"
],
"journal_ref": "Phys.Atom.Nucl. 60 (1997) 554-557; Yad.Fiz. 60N4 (1997) 635-638",
"title": "On the asymptotical equations in the harmonic oscillator representation",
"url": "https://arxiv.org/abs/nucl-th/9604021"
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