Vectorized partial wave calculation using a cauchy-type propagation matrix

Kenji Ishibashi, Yuki Miura, Hiroshi Takada, Takeji Sakae, Yuzuru Matsumoto, Akira Katase

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)17-26
Number of pages10
JournalJournal of Computational Physics
Issue number1
Publication statusPublished - Jan 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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