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August 20, 2021 19:34
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import os | |
import numpy as np | |
from itertools import product | |
import openfermion as of | |
def read_dr_li_data(ofile): | |
with open(ofile, 'r') as fid: | |
text = fid.read().strip().split('\n') | |
file_name = text[0] | |
nelectrons = int(text[1].split('=')[-1]) | |
norb = int(text[2].split('=')[-1]) | |
nsorb = 2 * norb | |
S2 = int(text[3].split('=')[-1]) | |
L2 = int(text[4].split('=')[-1]) | |
J2 = int(text[5].split('=')[-1]) | |
Jz = int(text[6].split('=')[-1]) | |
print(file_name) | |
print(nelectrons) | |
print(norb) | |
print("S2 = ", S2) | |
print("L2 = ", L2) | |
print("J2 = ", J2) | |
print("JZ = ", Jz) | |
tpdm = np.zeros((nsorb,) * 4, dtype=np.complex128) | |
for line in text[7:]: | |
tline = line.strip() | |
tline = tline.replace('(', '') | |
tline = tline.replace(')', '') | |
tline = tline.split(',') | |
i, j, k, l= [int(xx) for xx in tline[:4]] | |
real_val, imag_val = float(tline[4]), float(tline[5]) | |
print(i, j, k, l, complex(real_val, imag_val)) | |
# print(tline) | |
tpdm[i, j, k, l] = float(real_val) + 1j * float(imag_val) | |
return file_name, nelectrons, norb, S2, L2, J2, Jz, tpdm | |
if __name__ == "__main__": | |
print(os.getcwd()) | |
file_name, nelectrons, norb, S2, L2, J2, Jz, tpdm = \ | |
read_dr_li_data('c_sto-3g_tpdm/c_sto-3g_0_0_0_0.out.dat') | |
nsorb = 2 * norb | |
nholes = nsorb - nelectrons | |
print(np.einsum('ijij', tpdm), nelectrons * (nelectrons - 1)) | |
tpdm_of = tpdm.transpose((0, 1, 3, 2)) | |
print(np.einsum('ijji', tpdm_of), nelectrons * (nelectrons - 1)) | |
for i, j, k, l in product(range(nsorb), repeat=4): | |
assert np.isclose(tpdm_of[i, j, k, l], -tpdm_of[i, j, l, k]) | |
assert np.isclose(tpdm_of[j, i, k, l], -tpdm_of[i, j, k, l]) | |
assert np.isclose(tpdm_of[i, j, k, l], tpdm_of[l, k, j, i].conj()) | |
# if (not np.isclose(tpdm_of[i, j, k, l].real, tpdm_of[l, k, j, i].real) | |
# and abs(tpdm_of[i, j, k, l]) > 1.0E-4): | |
# print(i, j, k, l, tpdm_of[i, j, k, l], tpdm_of[l, k, j, i]) | |
qmat = tpdm_of.transpose((0, 1, 3, 2)).reshape((nsorb**2, nsorb**2)) | |
print(np.linalg.norm(qmat - qmat.conj().T)) | |
opdm = of.map_two_pdm_to_one_pdm(tpdm_of, nelectrons) | |
assert of.is_hermitian(opdm) | |
assert np.isclose(opdm.trace(), nelectrons) | |
oqdm = of.map_one_pdm_to_one_hole_dm(opdm) | |
assert of.is_hermitian(oqdm) | |
assert np.isclose(oqdm.trace(), nholes) | |
tqdm = of.map_two_pdm_to_two_hole_dm(tpdm_of, opdm) | |
assert np.isclose(np.einsum('ijji', tqdm), nholes * (nholes - 1)) |
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