### Abstract

The partial wave analysis is an important method of obtaining the collision cross section in atomic and nuclear physics. An algorithm is devised to reduce the computing time by using a vector computer. In solving the Schrödinger equation numerically, this algorithm vectorizes the recurrent calculation in an ingenious way. The method is suited for those problems that are related to relatively a small number of quantum states (reaction channels). A simple example of the calculation is shown for elastic scattering. A speed-up gain of 8 is achieved in comparison to a scalar computer.

Original language | English |
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Pages (from-to) | 17-26 |

Number of pages | 10 |

Journal | Journal of Computational Physics |

Volume | 80 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1989 |

### All Science Journal Classification (ASJC) codes

- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics

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## Cite this

Ishibashi, K., Miura, Y., Takada, H., Sakae, T., Matsumoto, Y., & Katase, A. (1989). Vectorized partial wave calculation using a cauchy-type propagation matrix.

*Journal of Computational Physics*,*80*(1), 17-26. https://doi.org/10.1016/0021-9991(89)90088-0