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29 March 2024
 
  » arxiv » nucl-th/9604021

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On the asymptotical equations in the harmonic oscillator representation
G.F.Filippov ; A.D.Bazavov ; K.Kato ; S.V.Korennov ;
Date 16 Apr 1996
Journal Phys.Atom.Nucl. 60 (1997) 554-557; Yad.Fiz. 60N4 (1997) 635-638
Subject nucl-th
AffiliationKyiv, Ukraine), K.Kato and S.V.Korennov (Sapporo, Japan
AbstractIn 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.
Source arXiv, nucl-th/9604021
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