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qmc-lttc/qmc_metropolis.py

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2021-01-20 18:31:49 +01:00
from hydrogen import *
from qmc_stats import *
def MonteCarlo(a,nmax,tau):
E = 0.
N = 0.
N_accep = 0.
r_old = np.random.uniform(-tau, tau, (3))
psi_old = psi(a,r_old)
for istep in range(nmax):
r_new = r_old + np.random.uniform(-tau,tau,(3))
psi_new = psi(a,r_new)
ratio = (psi_new / psi_old)**2
v = np.random.uniform(0,1,(1))
if v < ratio:
N_accep += 1.
r_old = r_new
psi_old = psi_new
N += 1.
E += e_loc(a,r_old)
return E/N, N_accep/N
a = 0.9
nmax = 100000
tau = 1.3
X0 = [ MonteCarlo(a,nmax,tau) for i in range(30)]
X = [ x for x, _ in X0 ]
A = [ x for _, x in X0 ]
E, deltaE = ave_error(X)
A, deltaA = ave_error(A)
print(f"E = {E} +/- {deltaE}")
print(f"A = {A} +/- {deltaA}")