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47 lines
849 B
47 lines
849 B
3 years ago
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#!/usr/bin/python3
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import matplotlib.pyplot as plt
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import numpy as np
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fig = plt.figure()
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ax = plt.axes(projection='3d')
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# constants
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L = 100 # box length
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h = 1 # plancks constant
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D = np.sqrt(2/L) # norm factor
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m = 1 # mass
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# total energy function
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def E(n):
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return (((h*n)/L)**2)*(1/(8*m))
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def k(n):
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return np.sqrt( (8 * ((np.pi)**2) * m * E(n))/(h**2) )
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# wave function
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def psi(x: float, n: int=1) -> float:
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return D * np.sin( k(n) * x )
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# probability density function
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def prob(x: float, n: int=1) -> float:
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return (psi(x, n))**2
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x = np.arange(0, L, 0.1)
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n = np.arange(1, 10, 1)
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X, N = np.meshgrid(x, n)
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P = prob(X, N)
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fig = plt.figure()
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ax = plt.axes(projection='3d')
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ax.plot_surface(X, N, P, rstride=1, cstride=1, cmap='viridis', edgecolor='none')
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ax.set_xlabel('x')
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ax.set_ylabel('n')
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ax.set_zlabel('p');
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plt.show()
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