A modified Euler–Maclaurin formula in 1D and 2D with applications in statistical physics

Jihong Guo,Yunpeng Liu

Table 4. ${\tilde{R}}_{{np},{np}}^{H}$ for square well with B = 1 and m = 0.

n 3 5 7 9 11 13 15 p 0 2.2 × 10−2 4.7 × 10−3 1.6 × 10−3 7.2 × 10−4 4.0 × 10−4 2.6 × 10−4 2.0 × 10−4 1 5.8 × 10−3 2.6 × 10−4 2.1 × 10−5 2.3 × 10−6 3.1 × 10−7 5.1 × 10−8 9.6 × 10−9 2 3.2 × 10−3 5.8 × 10−5 1.9 × 10−6 9.0 × 10−8 5.3 × 10−9 3.8 × 10−10 3.2 × 10−11 3 2.1 × 10−3 2.1 × 10−5 3.7 × 10−7 9.5 × 10−9 3.1 × 10−10 1.2 × 10−11 5.7 × 10−13 4 1.6 × 10−3 9.7 × 10−6 1.1 × 10−7 1.7 × 10−9 3.5 × 10−11 8.7 × 10−13 2.6 × 10−14