Starting from the matrix elements of a nucleon-nucleon potential operator provided in a basis of spherical harmonic oscillator functions, we present an algorithm for expressing a given potential operator in terms of irreducible tensors of the SU(3) and SU(2) groups. Further, we introduce a GPU-based implementation of the latter and investigate its performance compared with a CPU-based version of the same. We find that the CUDA implementation delivers speedups of 2.27x – 5.93x.

中文翻译：

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使用GPU将Nucleon-Nucleon势能运算符转换为其SU（3）张量形式

从基于球形谐波振荡器函数提供的核子-核子势能算子的矩阵元素开始，我们提出了一种算法，用于根据SU（3）和SU（2）组的不可约张量来表达给定的势能算子。此外，我们介绍了后者的基于GPU的实现，并将其性能与基于CPU的版本进行比较。我们发现CUDA实施可将速度提高2.27倍至5.93倍。