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{
"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": {}
}
]
}
|
