From d36fc3b8f88cc3108ffff6151e376b619b9abb01 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- Quantum_mechanics_by_M.C.Jain/chapter8.ipynb | 269 --------------------------- 1 file changed, 269 deletions(-) delete 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 deleted file mode 100755 index 8c294517..00000000 --- a/Quantum_mechanics_by_M.C.Jain/chapter8.ipynb +++ /dev/null @@ -1,269 +0,0 @@ -{ - "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