New numerical methods applied to solving the one-dimensional eigenvalue problem

The Journal of Chemical Physics

Volumn 67, Issue 9, 1977, Pages 4086-4093

  Johnson, B R ^a  

^a AEROSPACE CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343548141     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.435384     Document Type: Article

References (30)

1. A report describing this generalization is in preparation.
2. The location of this point is essentially the same as in Refs. 1 and 3 because the first zero of [formula omitted](x) is also the first maximum of the inward integrated wave function.
3. A derivation of the Numerov algorithm is given in Ref. 4.
4. This transformation has been used previously by
5. An alternative definition is [formula omitted]
6. The reader is reminded that the quantity [formula omitted] in Eq. (52) is of order h so the term [formula omitted] is only one order of h smaller in magnitude.
7. A similar procedure for calculating wave functions has been used by
8. The renormalized Numerov method A was used to make the calculations; method B gives identical values.
9. Fourteen digits represents the single precision accuracy of the CDC 7600 computer.
10. This relation follows from our requirement that [formula omitted] (Table I) and the analytic formula for the eigenvalues of the Morse potential (see Ref. 26).