def F3i_I_eigs_list(E_list, L, F3_list, I, flip=False):
out = []
for i in range(len(E_list)):
E = E_list[i]
F3 = F3_list[i]
if flip == False: # project before inverting F3
F3_I = proj.irrep_proj(F3, E, L, I) # works for all shells
if F3_I.shape == ():
F3i_I = 1 / F3_I
F3i_I_eigs = F3i_I
else:
F3_I_eigs = defns.chop(
np.array(sorted(LA.eigvals(F3_I), key=abs,
reverse=True)).real)
#F3i_I = defns.chop(LA.inv(F3_I))
if F3_I_eigs[-1] == 0:
print(E, F3_I_eigs)
sys.exit()
else:
F3i_I_eigs = np.array([1 / x for x in F3_I_eigs])
elif flip == True: # invert F3 before projecting
F3i = defns.chop(LA.inv(F3))
F3i_I = proj.irrep_proj(F3i, E, L, I)
F3i_I_eigs = defns.chop(np.array(sorted(LA.eigvals(F3i_I))).real)
out.append(F3i_I_eigs)
return out
def K33Bmat(E, L, a0, a2):
nnk_list = list_nnk(E, L)
N = len(nnk_list)
#print(nnk_list)
#print(N)
Gfull = []
for p in range(N):
nnp = list(nnk_list[p])
Gp = []
for k in range(N):
nnk = list(nnk_list[k])
Gpk = np.zeros((6, 6))
for i1 in range(6):
[l1, m1] = Gmatrix.lm_idx(i1)
for i2 in range(6):
[l2, m2] = Gmatrix.lm_idx(i2)
Gpk[i1,
i2] = K33B.K3cubicB(E, 2 * math.pi / L * np.array(nnp),
l1, m1,
2 * math.pi / L * np.array(nnk),
l2, m2)
Gp.append(Gpk)
Gfull.append(Gp)
matrix = np.ones_like(chop(np.block(Gfull)))
print(matrix.shape)
return pr.irrep_proj(matrix, E, L, "A1")
def F3i(e, L, a0, r, P, a2):
K0 = 1000 * 5
K1 = 3 * 270 / 9 * 0
K2 = 40. / 81 * 0
A = 40 / 81 * 0
B = 400 * 0
Kdf = K3.K3mat(e, L, K0, K1, K2, A, B)
f3mat = F3_mat.F3i_mat(e, L, a0, r, P, a2, 0.3)
return pr.irrep_proj(f3mat + Kdf, e, L, "T2+")
def F3i(e, L, a0, a2):
K0 = -1000 * 0
K1 = -100 * 0
K2 = -50 * 0
A = -470 * 0
B = 0.
Kdf = K3.K3mat(e, L, K0, K1, K2, A, B)
f3mat = F3_mat.F3i_mat(e, L, a0, 0., 0., a2, 0.3)
return pr.irrep_proj(f3mat + Kdf, e, L, "E+")
def F3iK(e, L, a0, a2):
r = 0.
P = 0.
K0 = 100 * 0
K1 = 10 * 0
K2 = 200. / 81 * -1 * 0
A = 200 / 81 * 0
B = 40 / 81 * -20000 * 0
Kdf = K3.K3mat(e, L, K0, K1, K2, A, B)
f3mat = F3_mat.F3i_mat(e, L, a0, r, P, a2, 0.3)
return pr.irrep_proj(f3mat + Kdf, e, L, "E+")
def F3_I_mat(E, L, a0, r0, P0, a2, alpha, I):
return proj.irrep_proj(F3mat(E, L, a0, r0, P0, a2, alpha), E, L, I)
def F3i(e, L, a0, a2):
f3mat = F3_mat.F3i_mat(e, L, a0, 0., 0., a2, 0.3)
return pr.irrep_proj(f3mat, e, L, "A1")
def H2proj(e, L, a, a2):
return pr.irrep_proj(H_mat.Hmat(e, L, a, 0., 0., a2, 0.5), e, L, "E+")
P0 = 0
E = 4.24216326
L = 5
I = 'E+'
if a2 == 0:
F3 = F3_mat.F3mat00(E, L, a0, r0, P0, a2, alpha)
F3_I = proj.irrep_proj_00(F3, E, L, I)
elif a0 == r0 == P0 == 0:
F3 = F3_mat.F3mat22(E, L, a0, r0, P0, a2, alpha)
F3_I = proj.irrep_proj_22(F3, E, L, I)
else:
F3 = F3_mat.F3mat(E, L, a0, r0, P0, a2, alpha)
F3_I = proj.irrep_proj(F3, E, L, I)
F3i_I = defns.chop(LA.inv(F3_I))
w_list, v_list = LA.eig(F3i_I)
F3i = defns.chop(LA.inv(F3))
w0, v0 = AD.smallest_eig_evec(
F3i) # Need to make evec_decomp() for 00 and 22 cases
proj.evec_decomp(v0, E, L, I)
s = 0
for I in GT.irrep_list():
s += proj.evec_decomp(v0, E, L, I)
print('Total:', s)