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Diffstat (limited to 'Quantum_mechanics_by_M.C.Jain/chapter8.ipynb')
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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": {}
- }
- ]
-}
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