高斯函数展开计算氢原子基态能量

xiaoxiao2021-02-28  57

import numpy as np from scipy.linalg import eigh from math import pi import matplotlib.pyplot as plt a = [13.00773, 1.962079, 0.444529, 0.1219492] S = np.zeros([4,4]) T = np.zeros([4,4]) A = np.zeros([4,4]) H = np.zeros([4,4]) for i in range(0, 4): for j in range(0,4): S[i][j] = (pi /(a[i]+a[j]))**(3/2) T[i][j] = 3 * a[i]* a[j] * pi**(3/2) /(a[i]+ a[j])**(5/2) A[i][j] = -2*pi / (a[i] + a[j]) H = T + A eigvals, eigvecs = eigh(H, S) print(eigvals.min())

参考计算物理J.M.Thijssen P36页内容,涉及到一个广义特征值的求解

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