예제 #1
0
            dt,
            lim1=((0, x_length), (0, max(np.real(psi_x)))),
            lim2=((ks[0], ks[N - 1]), (0, 30)))
a.make_fig()

t_list = []
norm_x = []
expec_x = []
expec_xs = []
expec_k = []

for i in range(Ns):
    if i != 0:
        sch.evolve_t(step, dt)
    t_list.append(sch.t)
    norm_x.append(sch.norm_x() - 1)
    expec_x.append(sch.expectation_x())
    expec_xs.append(np.sqrt(sch.expectation_x_square() - expec_x[i]**2))
    expec_k.append(sch.expectation_k())

# x_pos_list = [x_pos(j, x0, k_initial, hbar=hbar, m=m) for j in t_list]
# xdiff = [np.abs(expec_x[n] - x_pos_list[n]) for n in range(len(expec_x))]

# popt1, pcov = curve_fit(func, t_list, x_pos_list)
# print("Expected x :", popt1)
#
# popt2, pcov = curve_fit(func, t_list, expec_x)
# print("Calculated x :", popt2)
#
# plt.plot(t_list, norm_x, linestyle='none', marker='x')
# plt.title('Normalistaion of wavefunction over time')
예제 #2
0
hbar = 1
m = 1
omega = 0.01
sigma = np.sqrt(hbar / (2 * m * omega))

# Defining Wavefunction
psi = wave_init(x, sigma, x0-50)
V_x = harmonic_potential(x, m, omega, x0)
#V_x = np.zeros(N)

# Defining k
dk = dx / (2 * np.pi)
k = fftfreq(N, dk)
ks = fftshift(k)

# Defining time steps
t = 0
dt = 5
step = 1

sch = Schrodinger(x, psi, V_x, k, hbar, m, t)

print(sch.norm_x())

x_limits = ((x[0],x[N-1]), (0, 0.16))
k_limits = ((-5, 5), (0, max(abs(sch.psi_k)+0.5)))


a = Animate(sch, V_x, step, dt, lim1=x_limits, lim2=k_limitsq)
a.make_fig()