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diff --git a/Modern_Physics/Chapter8.ipynb b/Modern_Physics/Chapter8.ipynb new file mode 100755 index 00000000..a12d49fc --- /dev/null +++ b/Modern_Physics/Chapter8.ipynb @@ -0,0 +1,222 @@ +{ + "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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