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+{

+ "cells": [

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "#3(B):Principles of Quantum Mechanics"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.1, Page number 3.41"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 11,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "Velocity = 1.38 *10**6 m/s\n",

+      "Wavelength = 0.00286 Angstorm\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "KE=10             #Kinetic Energy of neutron in keV\n",

+    "m=1.675*10**-27\n",

+    "h=6.625*10**-34\n",

+    "#Calculations\n",

+    "KE=10**4*1.6*10**-19      #in joule\n",

+    "v=((2*KE)/m)**(1/2)       #derived from KE=1/2*m*v**2\n",

+    "lamda=h/(m*v)\n",

+    "#Results\n",

+    "print\"Velocity =\",round(v/10**6,2),\"*10**6 m/s\"\n",

+    "print\"Wavelength =\",round(lamda*10**10,5),\"Angstorm\"\n",

+    "                        "

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.2, Page number 3.41"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 14,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "Momentum 2.4133\n",

+      "de Brolie wavelength = 2.73 *10**-11 m\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "E=2*1000*1.6*10**-19       #in joules\n",

+    "m=9.1*10**-31\n",

+    "h=6.6*10*10**-34\n",

+    "\n",

+    "#Calculations\n",

+    "p=math.sqrt(2*m*E)\n",

+    "lamda= h/p\n",

+    "\n",

+    "#Result\n",

+    "print\"Momentum\",round(p*10**23,4)\n",

+    "print\"de Brolie wavelength =\",round(lamda*10**10,2),\"*10**-11 m\"\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.3, Page number 3.41"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 19,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "wavelength = 1.807 Angstorm\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "M=1.676*10**-27             #Mass of neutron\n",

+    "m=0.025\n",

+    "v=1.602*10**-19\n",

+    "h=6.62*10**-34\n",

+    "\n",

+    "#Calculations\n",

+    "mv=(2*m*v)**(1/2)\n",

+    "lamda=h/(mv*M**(1/2))\n",

+    "\n",

+    "#Result\n",

+    "print\"wavelength =\",round(lamda*10**10,3),\"Angstorm\""

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.4, Page number 3.42"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 21,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "Wavelength = 0.1226 Angstorm\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "V=10000\n",

+    "\n",

+    "#Calculation\n",

+    "lamda=12.26/math.sqrt(V)\n",

+    "\n",

+    "#Result\n",

+    "print\"Wavelength =\",lamda,\"Angstorm\""

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.5, Page number 3.42"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 7,

+   "metadata": {

+    "collapsed": false,

+    "scrolled": true

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "The permitted electron energies = 38.0 *n**2 eV\n",

+      "E1= 38.0 eV\n",

+      "E2= 151.0 eV\n",

+      "E3= 339.0 eV\n",

+      "#Answer varies due to rounding of numbers\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "\n",

+    "#Variable declaration\n",

+    "e=1.6*10**-19;   #charge of electron(coulomb)\n",

+    "L=10**-10            #1Angstrom=10**-10 m\n",

+    "n1=1;\n",

+    "n2=2;\n",

+    "n3=3;\n",

+    "h=6.626*10**-34\n",

+    "m=9.1*10**-31\n",

+    "L=10**-10\n",

+    "\n",

+    "#Calculations\n",

+    "E1=(h**2)/(8*m*L**2*e)\n",

+    "E2=4*E1\n",

+    "E3=9*E1\n",

+    "#Result\n",

+    "print\"The permitted electron energies =\",round(E1),\"*n**2 eV\"\n",

+    "print\"E1=\",round(E1),\"eV\"\n",

+    "print\"E2=\",round(E2),\"eV\"\n",

+    "print\"E3=\",round(E3),\"eV\"\n",

+    "print\"#Answer varies due to rounding of numbers\""

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.6, Page number 3.42"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 9,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "si**2 delta(x)= 0.2\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "i=1*10**-10;    #interval\n",

+    "L=10*10**-10;   #width\n",

+    "\n",

+    "#Calculations\n",

+    "si2=2*i/L;\n",

+    "\n",

+    "#Result\n",

+    "print\"si**2 delta(x)=\",si2"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.7, Page number 3.43"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 13,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      " E1 = 1.81 *10**-37 Joule\n",

+      "E2 = 3.62 *10**-37 Joule\n",

+      "E2-E1 = 1.81 *10**-37 J\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "nx=1\n",

+    "ny=1\n",

+    "nz=1\n",

+    "a=1\n",

+    "h=6.63*10**-34\n",

+    "m=9.1*10**-31\n",

+    "\n",

+    "#Calculations\n",

+    "E1=h**2*(nx**2+ny**2+nz**2)/(8*m*a**2)\n",

+    "E2=(h**2*6)/(8*m*a**2)             #nx**2+ny**2+nz**2=6\n",

+    "diff=E2-E1\n",

+    "#Result\n",

+    "print\"E1 =\",round(E1*10**37,2),\"*10**-37 Joule\"\n",

+    "print\"E2 =\",round(E2*10**37,2),\"*10**-37 Joule\"\n",

+    "print\"E2-E1 =\",round(diff*10**37,2),\"*10**-37 J\""

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "##Example number 3.8, Page number 3.43"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 7,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "E1 = 3.28 *10**-13 J\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "\n",

+    "#Variable declaration\n",

+    "m=1.67*10**-27\n",

+    "a=10**-14\n",

+    "h=1.054*10**-34\n",

+    "\n",

+    "#Calculations\n",

+    "E1=(1*math.pi*h)**2/(2*m*a**2)\n",

+    "\n",

+    "#Result\n",

+    "print\"E1 =\",round(E1*10**13,2),\"*10**-13 J\"\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {

+    "collapsed": true

+   },

+   "source": [

+    "#Example number 3.9, Page number 3.44"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 13,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "a= 0.0158\n"

+     ]

+    }

+   ],

+   "source": [

+    "#importing modules\n",

+    "import math\n",

+    "from __future__ import division\n",

+    "from scipy.integrate import quad\n",

+    "#Variable declarations\n",

+    "k=1;\n",

+    "\n",

+    "#Calculations\n",

+    "def zintg(x):\n",

+    "    return 2*k*math.exp(-2*k*x)\n",

+    "a=quad(zintg,2/k,3/k)[0]\n",

+    "\n",

+    "#Result\n",

+    "print \"a=\",round(a,4)"

+   ]

+  }

+ ],

+ "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": "2.7.9"

+  }

+ },

+ "nbformat": 4,

+ "nbformat_minor": 0

+}