Kinetic, potential and overlap matrix elements of one dimensional correlated Gaussians multiplied by polynomial factors are presented. These matrix elements can be used to calculate energies of one dimensional cold atom systems, or to construct a tensorial product to calculate energies in 2 or 3 dimensional systems with a nonspherical potential.

中文翻译：

---

一维显式相关高斯基函数的矩阵元素

给出了乘以多项式因子的一维相关高斯的动力学、势能和重叠矩阵元素。这些矩阵元素可用于计算一维冷原子系统的能量，或构建张量积以计算具有非球面势的二维或 3 维系统的能量。