From 4a1f703f1c1808d390ebf80e80659fe161f69fab Mon Sep 17 00:00:00 2001 From: Thomas Stephen Lee Date: Fri, 28 Aug 2015 16:53:23 +0530 Subject: add books --- Quantum_mechanics_by_M.C.Jain/chapter8.ipynb | 269 +++++++++++++++++++++++++++ 1 file changed, 269 insertions(+) create mode 100755 Quantum_mechanics_by_M.C.Jain/chapter8.ipynb (limited to 'Quantum_mechanics_by_M.C.Jain/chapter8.ipynb') diff --git a/Quantum_mechanics_by_M.C.Jain/chapter8.ipynb b/Quantum_mechanics_by_M.C.Jain/chapter8.ipynb new file mode 100755 index 00000000..8c294517 --- /dev/null +++ b/Quantum_mechanics_by_M.C.Jain/chapter8.ipynb @@ -0,0 +1,269 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:52aec0ea98abde6e8f04f9a7bf644564cf443f3e3280ece147b509c27e4e9a1b" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 Scattering of psrticles by barriers and wells" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.2 page no 155 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "b=-32\n", + "a=32.0\n", + "c=1\n", + "\n", + "#Calculation\n", + "import math\n", + "r=(-b+(math.sqrt(b**2-(4*a*c))))/(2.0*a)\n", + "\n", + "#Result\n", + "print\"The ratio of E/V0 = \", round(r*10**0)\n", + "print \"-ve value is not possible. \"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The ratio of E/V0 = 1.0\n", + "-ve value is not possible. \n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.3 Page no 156" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=9 #ev\n", + "v0=5 #ev\n", + "\n", + "#Calculation\n", + "R=((math.sqrt(E)-(math.sqrt(E-v0)))/(math.sqrt(E)+(math.sqrt(E-v0))))**2\n", + "\n", + "#Result\n", + "print\"Reflection ratio is \", R" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Reflection ratio is 0.04\n" + ] + } + ], + "prompt_number": 53 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.4 Page no 156" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=9 #Kinetic energy of a particle in ev\n", + "v0=10 #ev\n", + "E1=5 #ev\n", + "E2=15\n", + "E3=10 #ev\n", + "\n", + "#calculation\n", + "import math\n", + "R=((math.sqrt(E2)-(math.sqrt(E2-v0)))/(math.sqrt(E2)+(math.sqrt(E2-v0))))**2\n", + "T=1-R\n", + "\n", + "#Result\n", + "print\"(a) E1 < vo, therefore R=1, T=0\"\n", + "print\"(b) reflection coefficient R= \",round(R,3),\"\\n transmission coefficient T= \",round(T,3)\n", + "print\"(c) E3=v0, therefore R=1 , T=0\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) E1 < vo, therefore R=1, T=0\n", + "(b) reflection coefficient R= 0.072 \n", + " transmission coefficient T= 0.928\n", + "(c) E3=v0, therefore R=1 , T=0\n" + ] + } + ], + "prompt_number": 52 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.6 Page no 163" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=2 #ev\n", + "v0=3 #ev\n", + "m=9*10**-31\n", + "a=4*10**-10 #m\n", + "h=1.05*10**-34\n", + "b=(v0-E)*(1.6*10**-19)\n", + "\n", + "#Calculation\n", + "import math\n", + "Ka=((math.sqrt(2*m*(b)))*a)/h\n", + "x=math.sin(Ka*3.14/180.0)\n", + "T=(v0**2)/(4.0*E*(v0-E))\n", + "T1=1/(1+(T*x**2))\n", + "\n", + "#Result\n", + "print\"Transmission coefficient is \", round(T1,3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Transmission coefficient is 0.999\n" + ] + } + ], + "prompt_number": 103 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.7 Page no 164" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=2 #ev\n", + "v0=3 #ev\n", + "m=9*10**-31\n", + "a=1*10**-10 #m\n", + "h=1.05*10**-34\n", + "b=(v0-E)*(1.6*10**-19)\n", + "\n", + "#Calculation\n", + "import math\n", + "Ka=((math.sqrt(2*m*(b)))*a)/h\n", + "x=math.sin(Ka*3.14/180.0)\n", + "T=(v0**2)/(4.0*E*(v0-E))\n", + "T1=1/(1.0+(T*x))\n", + "\n", + "#Result\n", + "print\"Transmission coefficient is \", round(T1,2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Transmission coefficient is 0.99\n" + ] + } + ], + "prompt_number": 94 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.8 Page no 164" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=10*10**6 #ev\n", + "T=2.0*10**-3\n", + "m=6.68*10**-27 #kg\n", + "h=1.054*10**-34 #Js\n", + "e=1.6*10**-19\n", + "v0=30.0*10**6 #ev\n", + "\n", + "#Calculation\n", + "import math\n", + "K=(math.sqrt(2*m*(v0-E)*e))/h\n", + "a=(1/(2.0*K))*(2.303*log10((16/T)*(E/v0)*(1-(E/v0))))\n", + "\n", + "#Result\n", + "print\"The width of the barrier is \", round(a,17),\"m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The width of the barrier is 1.91e-15 m\n" + ] + } + ], + "prompt_number": 24 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit