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diff --git a/backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter5.ipynb b/backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter5.ipynb new file mode 100755 index 00000000..04b23240 --- /dev/null +++ b/backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter5.ipynb @@ -0,0 +1,294 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:b28e13437e72a8d6bfe6e7e88f944bafb4762aecc71f80de95734c39265374bd"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 5 Wave packets and the uncertainty principles"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.2 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "r=10.0**-14 #m\n",
+ "h=1.054*10**-34 #Js\n",
+ "m=1.67*10**-27\n",
+ "\n",
+ "#Calculation\n",
+ "p=h/r\n",
+ "E=(h**2/(2*m*(r**2)))/(1.6*10**-13)\n",
+ "\n",
+ "#Result\n",
+ "print\"Kinetic energy \",round(E,2),\"Mev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Kinetic energy 0.21 Mev\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.3 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=100 #ev\n",
+ "m=9.1*10**-31\n",
+ "e=1.6*10**-19\n",
+ "x=10.0**-6 #m\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "p=math.sqrt(2*m*E*e)\n",
+ "p1=h/x\n",
+ "theta=p1/p\n",
+ "\n",
+ "#Result\n",
+ "print\"uncertainty in the angle of emergence \", round(theta*10**4,1),\"*10**-4 radians\"\n",
+ "print \"4 seconds of arc\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "uncertainty in the angle of emergence 0.2 *10**-4 radians\n",
+ "4 seconds of arc\n"
+ ]
+ }
+ ],
+ "prompt_number": 44
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.4 Page no 90"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "p=0.2*10**-3*10 #Kg m/s\n",
+ "h=1.054*10**-34\n",
+ "x=1*10**-2 #m\n",
+ "\n",
+ "#Calculation\n",
+ "p1=h/x\n",
+ "a=p1/p\n",
+ "\n",
+ "#Result\n",
+ "print\"uncertainty in the angle of emergence \",a,\"radians\"\n",
+ "print \"1.1*10**-24 seconds of arc\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "uncertainty in the angle of emergence 5.27e-30 radians\n",
+ "1.1*10**-24 seconds of arc\n"
+ ]
+ }
+ ],
+ "prompt_number": 76
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.5 Page no 90"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=50*10**-3 #kgram\n",
+ "accuracy=0.01\n",
+ "v=300 #m/s\n",
+ "h=1.054*10**-34\n",
+ "\n",
+ "#Calculation\n",
+ "p=m*(v*accuracy)/100.0\n",
+ "x=h/p\n",
+ "\n",
+ "#Result\n",
+ "print\"position of the bullet \",round(x,32),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "position of the bullet 7e-32 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 59
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.6 Page no 91"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "t=10.0**-12 #s\n",
+ "h1=1.054*10**-34\n",
+ "h=6.625*10**-34\n",
+ "\n",
+ "#Calculation\n",
+ "E=h1/t\n",
+ "v=E/h\n",
+ "\n",
+ "#Result\n",
+ "print\"uncertainity in energy is \",E,\"J\"\n",
+ "print\"uncertainity in frequency is \",round(v,-9),\"Hz\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "uncertainity in energy is 1.054e-22 J\n",
+ "uncertainity in frequency is 1.59e+11 Hz\n"
+ ]
+ }
+ ],
+ "prompt_number": 65
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.8 Page no 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "r=5*10**-15 #m\n",
+ "h=1.05*10**-34\n",
+ "m=1.67*10**-27\n",
+ "e=1.6*10**-13\n",
+ "\n",
+ "#Calculation\n",
+ "xmax=2*r #maximum uncertainity in the position of the nucleon\n",
+ "pmin=h/xmax #minimum uncertainity in the momentum of particle\n",
+ "Kmin=pmin**2/(2.0*m*e)\n",
+ "\n",
+ "#Result\n",
+ "print\"minimum kinetic energy is\",round(Kmin,1),\"Mev\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "minimum kinetic energy is 0.2 Mev\n"
+ ]
+ }
+ ],
+ "prompt_number": 70
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5.10 Page no 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "v=6000*10**-10 #Wavelength in m\n",
+ "t=10**-8 #s\n",
+ "c=3*10**8\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "v1=v**2/(2.0*math.pi*c*t)\n",
+ "\n",
+ "#Result\n",
+ "print\"width of a line \",round(v1,15),\"m\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "width of a line 1.9e-14 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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