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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:8315bc6aae714998ec5db8a7cf2faf25a033ca960fbcf8e976cdfc44e47b09f3"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 8: Quantum Mechanics in Three Dimensions"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 8.4, page no. 270"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "\n",
+      "R = 1.0             #radius(m)\n",
+      "T = 1.0             #period of revolution(s)\n",
+      "m = 1.0             #mass of stone(kg)\n",
+      "h = 1.055 * 10**-34 #planks constant (kg.m^2/s)\n",
+      "\n",
+      "#Calculation\n",
+      "\n",
+      "v = 2*math.pi*R/T\n",
+      "L = m * v * R\n",
+      "l = L / h\n",
+      "\n",
+      "#Results\n",
+      "\n",
+      "print \"The orbital quantum number l is\",round(l/10**34,2),\"X 10^34.\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The orbital quantum number l is 5.96 X 10^34.\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 8.6, page no. 272"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "\n",
+      "l = 3           #orbital quantum number\n",
+      "\n",
+      "#Calculation and results\n",
+      "\n",
+      "L = math.sqrt(l*(l+1))\n",
+      "print \"The allowed values of Lz are\"\n",
+      "for i in range(-l,l+1):\n",
+      "    print i,\"h\"\n",
+      "print \"The allowed values of theta are\"\n",
+      "for i in range(-l,l+1):\n",
+      "    theta = round(math.acos(i/L)*180/math.pi,1)\n",
+      "    if theta > 90:\n",
+      "        print theta-180\n",
+      "    else:\n",
+      "        print theta"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The allowed values of Lz are\n",
+        "-3 h\n",
+        "-2 h\n",
+        "-1 h\n",
+        "0 h\n",
+        "1 h\n",
+        "2 h\n",
+        "3 h\n",
+        "The allowed values of theta are\n",
+        "-30.0\n",
+        "-54.7\n",
+        "-73.2\n",
+        "90.0\n",
+        "73.2\n",
+        "54.7\n",
+        "30.0\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 8.7, page no. 281"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "\n",
+      "#Variable declaration\n",
+      "\n",
+      "n = 2\n",
+      "Z = 1\n",
+      "\n",
+      "#Calculation and results\n",
+      " \n",
+      "print \"The states of hydrogen atom are\"\n",
+      "for i in range(n):\n",
+      "    for j in range(-i,i+1):\n",
+      "        print \"n = \",n,\"l = \",i,\"ml = \",j\n",
+      "\n",
+      "E2 = -13.6 * Z**2/n**2\n",
+      "print \"All states have same energy of \",E2,\"eV.\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The states of hydrogen atom are\n",
+        "n =  2 l =  0 ml =  0\n",
+        "n =  2 l =  1 ml =  -1\n",
+        "n =  2 l =  1 ml =  0\n",
+        "n =  2 l =  1 ml =  1\n",
+        "All states have same energy of  -3.4 eV.\n"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 8.8, page no. 284"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import scipy\n",
+      "from scipy import integrate\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "\n",
+      "z2 = lambda z: z**2 * math.e ** -z\n",
+      "\n",
+      "#Calculation\n",
+      "inf = float('inf')\n",
+      "integ,err = scipy.integrate.quad(z2,2.0,inf)\n",
+      "P = integ * 0.5\n",
+      "\n",
+      "#result\n",
+      "\n",
+      "print \"The probability is\",round(P,3)\n",
+      "\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The probability is 0.677\n"
+       ]
+      }
+     ],
+     "prompt_number": 7
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
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