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Diffstat (limited to 'Modern_Physics_By_G.Aruldas/Chapter4.ipynb')
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diff --git a/Modern_Physics_By_G.Aruldas/Chapter4.ipynb b/Modern_Physics_By_G.Aruldas/Chapter4.ipynb new file mode 100755 index 00000000..350acf21 --- /dev/null +++ b/Modern_Physics_By_G.Aruldas/Chapter4.ipynb @@ -0,0 +1,193 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:1d6457e2a94e0fa2b026a0acb8ba4fab526573258ee2c274c4328b7f611fb97a"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "4: Wave mechanical concepts"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.1, Page number 59"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "h=6.626*10**-34; #planck's constant(Js)\n",
+ "e=1.6*10**-19; #conversion factor from J to eV\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "V=1; #assume\n",
+ "\n",
+ "#Calculation\n",
+ "lamda=h/math.sqrt(2*m*e*V); #debroglie wavelength(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"debroglie wavelength is math.sqrt(\",int((lamda*10**10)**2),\"/V) angstrom\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "debroglie wavelength is math.sqrt( 150 /V) angstrom\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.2, Page number 59"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "h=6.626*10**-34; #planck's constant(Js)\n",
+ "c=3*10**8; #velocity of light(m/sec)\n",
+ "e=1.6*10**-19; #conversion factor from J to eV\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "KE=100*10**6; #kinetic energy(eV)\n",
+ "\n",
+ "#Calculation\n",
+ "p=math.sqrt(2*m*e); #momentum(kg m/s)\n",
+ "lamda1=h/p; #debroglie wavelength for 1 eV(m)\n",
+ "lamda2=h*c/(KE*e); #debroglie wavelength for 100 MeV(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"debroglie wavelength for 1 eV is\",round(lamda1*10**9,1),\"nm\"\n",
+ "print \"debroglie wavelength for 100 MeV is\",round(lamda2*10**15,2),\"*10**-15 m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "debroglie wavelength for 1 eV is 1.2 nm\n",
+ "debroglie wavelength for 100 MeV is 12.42 *10**-15 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.3, Page number 64"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "v=4*10**6; #speed of electron(m/s)\n",
+ "sp=1/100; #speed precision\n",
+ "hbar=1.05*10**-34; \n",
+ "\n",
+ "#Calculation\n",
+ "p=m*v; #momentum(kg m/s)\n",
+ "deltap=p*sp; #uncertainity in momentum(kg m/s)\n",
+ "deltax=hbar/(2*deltap); #precision in position(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"precision in position is\",round(deltax*10**9,2),\"nm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "precision in position is 1.44 nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.4, Page number 64"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "c=3*10**8; #velocity of light(m/sec)\n",
+ "lamda=4000*10**-10; #wavelength(m)\n",
+ "deltat=10**-8; #average lifetime(s)\n",
+ "\n",
+ "#Calculation\n",
+ "delta_lamda=lamda**2/(4*math.pi*c*deltat); #width of line(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"width of line is\",round(delta_lamda*10**15,2),\"*10**-15 m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "width of line is 4.24 *10**-15 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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