A new sixth-order Runge-Kutta type method is developed for the numerical integration of the one-dimensional Schrodinger equation. The formula developed contains certain free parameters which allows it to be fitted automatically to exponential functions. We give a comparative error analysis with othe
A Fortran program for the numerical integration of the one-dimensional Schrödinger equation using exponential and Bessel fitting methods
✍ Scribed by J.R. Cash; A.D. Raptis; T.E. Simos
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 880 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
This algorithm uses a high-order, variable step Runge-Kutta like method in the region where the potential term dominates, and an exponential or Bessel fitted method in the asymptotic region. This approach can be used to compute scattering phase shifts in an efficient and reliable manner. A Fortran program which implements this algorithm is provided and some test results are given.
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