Created
February 8, 2018 13:47
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MatrixQM
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"\n", | |
"import matplotlib\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def v(t):\n", | |
" return t;\n", | |
"u = 2;\n", | |
"\n", | |
"def t(d):\n", | |
" return np.exp(-d);\n", | |
"\n", | |
"def e1(t):\n", | |
" return u/2;\n", | |
"e1 = np.vectorize(e1);\n", | |
"\n", | |
"def e2(t):\n", | |
" return v(t) - u/2;\n", | |
"e2 = np.vectorize(e2);\n", | |
" \n", | |
"def e3(t):\n", | |
" return (-np.sqrt(16*t**2+(u-v(t))**2)+v(t))/2;\n", | |
"e3 = np.vectorize(e3);\n", | |
"\n", | |
"def e4(t):\n", | |
" return (np.sqrt(16*t**2+(u-v(t))**2)+v(t))/2;\n", | |
"e4 = np.vectorize(e4);\n", | |
" \n", | |
"x = np.linspace(0.2, 7, 100);\n", | |
"t = t(x);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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rK20ffUTr4sVEliyhbcnHtH38MbE1a77QLlBcTHjECMLDhhEaOpTw0CGEKioIDhpEqKKC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\nRCRHKQBERHKUAkBEJEcpAEREctT/B88oTpWPSxeAAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xa544080>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"l1, = plt.plot(x, e1(t), label='e1');\n", | |
"l2, = plt.plot(x, e2(t), label='e2');\n", | |
"l3, = plt.plot(x, e3(t), label='e3');\n", | |
"l4, = plt.plot(x, e4(t), label='e4');\n", | |
"plt.legend(handles = [l1,l2,l3,l4])\n", | |
"plt.show();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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Hl7G1XucDRMRbCoA+lBbw8Zu/n4IB1/5pCc1tYa9LEpEUpgDoY8Pys/jlVZOp2rmf7z/+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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0xa541e48>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"l2, = plt.plot(x, e2(t), label='e2');\n", | |
"l3, = plt.plot(x, e3(t), label='e3');\n", | |
"plt.legend(handles = [l2,l3])\n", | |
"plt.show();" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.14" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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