def main(argv):
"""Print norm of psi."""
if len(argv) < 1 or len(argv) > 2:
print("Usage: python3 print_error.py psi_name [max_order]")
NAME = argv[0]
iofvars = []
split_orders = []
normdict = {}
psi = load_group(NAME,
iofvars=iofvars,
split_orders=split_orders,
normdict=normdict)
max_order = int(str(argv[1])) if len(argv) > 2 else len(split_orders - 2)
zeroth_order = psi[split_orders[0]:split_orders[1]]
psi = substitute_group(psi, normdict)
for order in range(max_order + 1):
norm = trace_inner_product(
zeroth_order, psi[split_orders[0]:split_orders[order + 1]])
print(mstr(simplify(norm)))
def main(argv):
"""Convert unitary of form U = e^i(Gs[0] + Gs[1]+...) to operator psi."""
if len(argv) < 2 or len(argv) > 3:
print(
"Usage: python3 print_error.py unitary_name output_name [max_order]"
)
gs_name = argv[0]
psi_name = argv[1]
zeroth_order = []
Gs = load_group(gs_name, zeroth_order=zeroth_order)
max_order = int(str(argv[2])) if len(argv) > 2 else len(Gs)
split_orders = [0, 1]
psi = zeroth_order[:]
for order in range(1, max_order + 1):
psi += unitary_transform_to_order(zeroth_order, Gs, order)
split_orders.append(len(psi))
save_group(psi,
psi_name + '_r' + str(order),
split_orders=split_orders)
fpart = [Ncproduct(I*f, [2*j+1,2*j+2]) for j in range(L-1)]
V1part = [Ncproduct(V1, [2*j+1,2*j+2,2*j+3,2*j+4]) for j in range(L-2)]
V2part = [Ncproduct(V2, [2*j+2,2*j+3,2*j+4,2*j+5]) for j in range(L-2)]
small = fpart+V1part+V2part
Jpart = [Ncproduct(I*J, [2*j+2,2*j+3]) for j in range(L-1)]
H = fpart + V1part + V2part +Jpart
START_ORDER = 7
END_ORDER = 8
START_PSI = (N(1, 'a1')
+ N(f/J, 'a2') + N(V1/(I*J), 'b1 a2 a3'))
START_IOFVARS = []
START_SPLIT_ORDERS = [0, 1, 3]
START_NORMDICT = {}
START_PSI = comm.load_group('psidual_r6', START_IOFVARS, START_SPLIT_ORDERS)#, START_NORMDICT)
orders.update(zip(START_IOFVARS,[START_ORDER-1]*len(START_IOFVARS)))
FILEHEAD = 'psidual'
NORM_AS_YOU_GO = False
START_NORMDICT = comm.check_normalisable(START_PSI,
START_IOFVARS,
START_ORDER-1,
orders,
START_SPLIT_ORDERS,
update_splits = False)
def main(argv):
try:
opts,args = getopt.getopt(argv, 'scvtbof')
except getopt.GetoptError:
print ("usage: print_options.py [-s][-c][-v]")
sys.exit(2)
iofvars = []
split_orders = []
normdict = {}
sub = False
collect = False
convert = False
texify = False
extract_free = False
bare = False
order = False
for opt, arg in opts:
if opt =='-s':
sub = True
if opt == '-c':
collect = True
if opt == '-v':
convert = True
if opt == '-t':
texify = True
bare = False
if opt == '-b':
bare = True
texify = False
if opt == '-o':
order = True
if opt == '-f':
extract_free = True
if sub:
psi = load_group(argv[1], iofvars = iofvars, normdict=normdict)
else:
psi = load_group(argv[1], iofvars = iofvars)
if extract_free:
psi = [el for el in psi if any(i in iofvars for i in el.scalar.atoms(Symbol))]
if sub:
psi = substitute_group(psi, normdict)
if collect:
psi = collect_terms(psi)
remove_zeros(psi)
if convert:
psi = convert_group(psi)
if order:
V, f, V1, V2, X, Y = symbols('V f V1 V2 X Y')
orders = {V:1,f:1,V1:1,V2:1, X:1, Y:1}
psi = order_group(psi, orders)
if texify:
print('\\documentclass{article}\n'
'\\usepackage{amsmath, amssymb, graphics, setspace}\n'
'\\allowdisplaybreaks\n'
'\\begin{document}')
print(texify_group(psi, newlines = True))
print('\\end{document}')
elif bare:
for el in psi:
print(repr(el))
else:
print_group(psi)
fpart = [Ncproduct(I*f, [2*j+1,2*j+2]) for j in range(L)]
V1part = [Ncproduct(V1, [2*j+1,2*j+2,2*j+3,2*j+4]) for j in range(L-2)]
V2part = [Ncproduct(V2, [2*j+2,2*j+3,2*j+4,2*j+5]) for j in range(L-2)]
small = fpart+V1part+V2part
Jpart = [Ncproduct(I*J, [2*j+2,2*j+3]) for j in range(L-1)]
H = fpart + V1part + V2part +Jpart
START_ORDER = 6
END_ORDER = 6
START_PSI = (N(1, 'a1')
+ N(f/J, 'a2') + N(V1/(I*J), 'b1 a2 a3'))
START_IOFVARS = []
START_SPLIT_ORDERS = [0, 1, 3]
START_PSI = comm.load_group('psi_dual_r5', START_IOFVARS, START_SPLIT_ORDERS)
orders.update(zip(START_IOFVARS,[START_ORDER-1]*len(START_IOFVARS)))
FILEHEAD = 'psidual'
NORM_AS_YOU_GO = True
psi = START_PSI
iofvars = START_IOFVARS
split_orders = START_SPLIT_ORDERS
for test_order in range(START_ORDER, END_ORDER+1):
psi_sub = None
psi_test_sub = None
fpart = [N(I*f, [2*j+1,2*j+2]) for j in range(L)]
Vpart = [N(V, [2*j+1,2*j+2,2*j+3,2*j+4]) for j in range(L-2)]
small = fpart+Vpart
Jpart = [N(I, [2*j+2,2*j+3]) for j in range(L-1)]
H = fpart + Vpart +Jpart
START_ORDER = 7
END_ORDER = 8
#START_PSI = (N(1, 'a1')
# + N(f, 'a2') + N(V/(I), 'b1 a2 a3'))
START_IOFVARS = []
START_SPLIT_ORDERS = [0, 1, 3]
START_PSI = comm.load_group('jto1psi_r6', START_IOFVARS, START_SPLIT_ORDERS)
orders.update(zip(START_IOFVARS,[START_ORDER-1]*len(START_IOFVARS)))
FILEHEAD = 'jto1psi'
NORM_AS_YOU_GO = True
psi = START_PSI
iofvars = START_IOFVARS
split_orders = START_SPLIT_ORDERS
for test_order in range(START_ORDER, END_ORDER+1):
psi_sub = None
psi_test_sub = None
def main(argv):
""" See flags for a description of each argument."""
try:
opts, args = getopt.getopt(argv, 'scvtbofzum')
except getopt.GetoptError:
print("usage: print_options.py [-scvtbofzum] filename")
sys.exit(2)
name = argv[1] if len(argv) > 1 else argv[0]
iofvars = []
normdict = {}
sub = False
collect = False
convert = False
texify = False
extract_free = False
bare = False
order = False
zero_free = False
unitary = False
simplify = False
for opt, arg in opts:
if opt == '-s':
sub = True
if opt == '-c':
collect = True
if opt == '-v':
convert = True
if opt == '-t':
texify = True
bare = False
if opt == '-b':
bare = True
texify = False
if opt == '-o':
order = True
if opt == '-f':
extract_free = True
if opt == '-z':
zero_free = True
if opt == '-u':
unitary = True
if opt == '-m':
simplify = True
if sub or zero_free:
psi = load_group(name, iofvars=iofvars, normdict=normdict)
elif unitary:
gs = load_group(name)
psi = []
for g in gs:
psi += g
else:
psi = load_group(name, iofvars=iofvars)
if extract_free:
psi = [
el for el in psi
if any(i in iofvars for i in el.scalar.atoms(Symbol))
]
if sub:
psi = substitute_group(psi, normdict)
if zero_free:
psi = substitute_group(psi, dict(zip(iofvars, [0] * len(iofvars))))
remove_zeros(psi)
if collect:
psi = collect_terms(psi)
remove_zeros(psi)
if convert:
psi = convert_group(psi)
if order:
V, f, V1, V2, X, Y, Vy = symbols('V f V1 V2 X Y Vy')
orders = {V: 1, f: 1, V1: 1, V2: 1, X: 1, Y: 1, Vy: 1}
psi = order_group(psi, orders)
if simplify:
psi = full_simplify_group(psi)
if texify:
print('\\documentclass{article}\n'
'\\usepackage{amsmath, amssymb, graphics, setspace}\n'
'\\allowdisplaybreaks\n'
'\\begin{document}')
print(texify_group(psi, newlines=True))
print('\\end{document}')
elif bare:
for el in psi:
print(repr(el))
else:
print_group(psi)
comm.mathematica_parser.vardict = {'J2':J2, 'f': f}
p.orders = orders
fpart = [Ncproduct(I*f, [2*j+1,2*j+2]) for j in range(L-1)]
V2part = [Ncproduct(J2, [2*j+2,2*j+3,2*j+4,2*j+5]) for j in range(L-2)]
small = fpart+V2part
Jpart = [Ncproduct(I, [2*j+2,2*j+3]) for j in range(L-1)]
H = small +Jpart
START_ORDER = 8
END_ORDER = 10
START_PSI = [N(1, 'a1')]
START_IOFVARS = []
START_SPLIT_ORDERS = []
START_NORMDICT = {}
START_PSI = comm.load_group('psi_j2_r8', START_IOFVARS, START_SPLIT_ORDERS, START_NORMDICT)
orders.update(zip(START_IOFVARS,[START_ORDER-1]*len(START_IOFVARS)))
FILEHEAD = 'psi_j2_test'
NORM_AS_YOU_GO = True
# START_NORMDICT = comm.check_normalisable(START_PSI,
# START_IOFVARS,
# START_ORDER-1,
# orders,
# START_SPLIT_ORDERS,
# update_splits = False)
#!/home/kempj/py343ve/bin/python
from sys import argv
from commutator import load_group, print_group, square_to_find_identity_scalar_up_to_order
from sympy import latex
iofvars = []
split_orders = []
normdict = {}
psi = load_group(argv[1], iofvars = iofvars, split_orders = split_orders, normdict=normdict)
prop = square_to_find_identity_scalar_up_to_order(psi, int(argv[2]), split_orders)
print(str(prop)+'\n\n')
print(latex(prop).replace('\\\\', '\\'))
p.orders = orders
fpart = [Ncproduct(I * f, [2 * j + 1, 2 * j + 2]) for j in range(L - 1)]
V1part = [Ncproduct(V1, [2 * j + 1, 2 * j + 2, 2 * j + 3, 2 * j + 4]) for j in range(L - 2)]
V2part = [Ncproduct(V2, [2 * j + 2, 2 * j + 3, 2 * j + 4, 2 * j + 5]) for j in range(L - 2)]
small = fpart + V1part + V2part
Jpart = [Ncproduct(I * J, [2 * j + 2, 2 * j + 3]) for j in range(L - 1)]
H = fpart + V1part + V2part + Jpart
START_ORDER = 11
END_ORDER = 50
START_PSI = N(1, "a1") + N(f / J, "a2") + N(V1 / (I * J), "b1 a2 a3")
START_IOFVARS = []
START_SPLIT_ORDERS = [0, 1, 3]
START_NORMDICT = {}
START_PSI = comm.load_group("finitedual_r10", START_IOFVARS, START_SPLIT_ORDERS, START_NORMDICT)
orders.update(zip(START_IOFVARS, [START_ORDER - 1] * len(START_IOFVARS)))
FILEHEAD = "finitedual"
NORM_AS_YOU_GO = False
# START_NORMDICT = comm.check_normalisable(START_PSI,
# START_IOFVARS,
# START_ORDER-1,
# orders,
# START_SPLIT_ORDERS,
# update_splits = False)