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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 6:Particle in a box"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:1,Page no:202"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"L=1.0\n",
"x0=L/3.0 \n",
"x1=2*L/3.0 \n",
"\n",
"\n",
"#calculation\n",
"import math\n",
"from scipy import integrate\n",
"def f(x):\n",
" w=math.sqrt(2/L)*math.sin(math.pi*x/L)\n",
" return(w**2)\n",
"P=integrate.quad(f,x0,x1)\n",
"\n",
"#Result\n",
"print\"The required probability =\",round(P[0],2)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The required probability = 0.61\n"
]
}
],
"prompt_number": 31
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2,Page no:202"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"L=1.0 \n",
"x0=0.0 \n",
"x1=L/3.0 \n",
"y0=0.0 \n",
"y1=L/3.0 \n",
"\n",
"#Calculation\n",
"from scipy.integrate import dblquad\n",
"import numpy as np\n",
"def f(x,y):\n",
"#w=(2.0/L)*(np.sin(np.pi*x/L))*(np.sin(np.pi*y/L))\n",
" return((1-np.cos(2*np.pi*x/L))*(1-np.cos(2*np.pi*y/L))) \n",
"\n",
"p=dblquad(f,x0,x1,lambda y:0,lambda y:L/3.0)\n",
"\n",
"#Result\n",
"print\"The required probability = \",round(p[0],3)\n",
"print\"NOTE:Wrong answer in book\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The required probability = 0.038\n",
"NOTE:Wrong answer in book\n"
]
}
],
"prompt_number": 66
}
],
"metadata": {}
}
]
}
|
