A new variable step method for the numerical integration of the one-dimensional Schrödinger equation
✍ Scribed by Hafez Kobeissi; Majida Kobeissi
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 625 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0021-9991
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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 method is proposed for reducing the multi-dimensional Schriidinger equation to a one\_dimensionaI integral equation. The reduction is exact; and the resulting integral equation although complicated, may be treated by any of a number of numerical methods. Two 24iniensional problems, the harmonic os