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Original scientific paper

Comment on the Renormalized Numerov method for solving differential eigenvalue equations

Apurba Kumar Ghosh ; Physics Department, University of Burdwan, Burdwan, W. B.-713 104, India
Tapan K. Das ; Physics Department, University of Burdwan, Burdwan, W. B.-713 104, India


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Abstract

We report here that the Renormalized Numerov (RN) method, commonly used to solve a system of coupled differential eigenvalue equations (CDEE), has an unexpected convergence behaviour as the step size is decreased. Furthermore, incorporation of the appropriate asymptotic behaviour of the wave function, in place of a sharp cut off, enhances the binding energy by about 10%. As an illustration, we solve for the deuteron ground state with Reid soft core potential, and obtain the covergence behaviour as a function of step size.

Keywords

Hrčak ID:

332262

URI

https://hrcak.srce.hr/332262

Publication date:

6.8.1990.

Article data in other languages: croatian

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