def q_psi(theta, gamma, q=1, israd=True):
import numpy as np
gamma = radian(gamma) if (not israd) else gamma
theta = radian(theta) if (not israd) else theta
theta = 1j * theta / 2
gamma = gamma / 2
gamma[gamma <= np.pi] = np.nan
theta[theta <= 2 * np.pi] = np.nan
coluna0 = [q_exp(-theta, q).real * q_cos(gamma, q).real]
coluna1 = [q_exp(theta, q).real * q_sin(gamma, q).real]
return array([coluna0, coluna1])
def q_rho(u, q=1, cpx=False, israd=True):
u = radian(u) if (not israd) else u
u = u * 1j
if cpx:
return sqrt(q_exp(u, q) * q_exp(-u, q))
else:
return (sqrt(q_exp(u, q) * q_exp(-u, q))).real
def q_psi(theta, gamma, q=1, israd=True):
import numpy as np
gamma = radian(gamma) if (not israd) else gamma
theta = radian(theta) if (not israd) else theta
theta = 1j * theta / 2
gamma = gamma / 2
#print(gamma)
#gamma = np.array(gamma)
if (type(gamma) == np.ndarray):
gamma[np.abs(gamma) > np.pi] = np.nan
theta[np.abs(theta) > 2 * np.pi] = np.nan
else:
gamma = np.nan if np.abs(gamma) > np.pi else gamma
theta = np.nan if np.abs(theta) > 2 * np.pi else theta
coluna0 = [q_exp(-theta, q).real * q_cos(gamma, q).real]
coluna1 = [q_exp(theta, q).real * q_sin(gamma, q).real]
return array([coluna0, coluna1])
def R_z(self):
theta = self.theta
q = self.q
israd = self.israd
theta = theta if israd else radian(theta)
theta = 1j * theta / 2
return np.array([[q_exp(u=-theta, q=q), 0], [0, q_exp(u=theta,
q=q)]]).real
def R_y(self):
theta = self.theta
q = self.q
israd = self.israd
theta = theta if israd else radian(theta)
theta = theta / 2
return np.array([[
q_cos(u=theta, q=q, israd=israd),
q_sin(u=theta, q=q, israd=israd) * -1
], [q_sin(theta, q=q, israd=israd),
q_cos(u=theta, q=q, israd=israd)]]).real
def q_phi(u, q=1, israd=True):
u = radian(u) if (not israd) else u
param_q = lambda q_: 1 / (1 - q_)
param_q = limit(param_q, q)
return param_q * atan((1 - q) * u)