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/chapter7.ipynb | 238 --------------------------- 1 file changed, 238 deletions(-) delete mode 100755 Quantum_mechanics_by_M.C.Jain/chapter7.ipynb (limited to 'Quantum_mechanics_by_M.C.Jain/chapter7.ipynb') diff --git a/Quantum_mechanics_by_M.C.Jain/chapter7.ipynb b/Quantum_mechanics_by_M.C.Jain/chapter7.ipynb deleted file mode 100755 index 50969726..00000000 --- a/Quantum_mechanics_by_M.C.Jain/chapter7.ipynb +++ /dev/null @@ -1,238 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:df09a01a18ea5b59bfa81431af3bf540f8785c24b7f1fddb025b95df17f9d0c1" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter 7 particle in a potential well" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 7.4 Page no 134" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Given\n", - "m=9.1*10**-31 #Kg\n", - "h=1.05*10**-34 #Js\n", - "ev=1.6*10**-19\n", - "n1=1\n", - "n2=2 \n", - "n3=3\n", - "a=10**-10 #m\n", - "\n", - "#Calculation\n", - "import math\n", - "E1=((n1**2*math.pi**2*h**2)/(8.0*m*a**2))/(1.6*10**-19) #ev\n", - "E2=n2**2*E1\n", - "E3=n3**2*E1\n", - "\n", - "#Result \n", - "print\"three lowest energy levels are \",round(E1,1),\"ev,\", round(E2,1),\"ev and \",round(E3,2),\"ev\"\n", - "print \"their eigenfunctions are 1/10**-5*cos(pie*x/2*10**-10),1/10**-5*sin(pie*x/10**-10) and 1/10**-5*cos(3*pie*x/2*10**-10)\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "three lowest energy levels are 9.3 ev, 37.4 ev and 84.08 ev\n", - "their eigenfunctions are 1/10**-5*cos(pie*x/2*10**-10),1/10**-5*sin(pie*x/10**-10) and 1/10**-5*cos(3*pie*x/2*10**-10)\n" - ] - } - ], - "prompt_number": 14 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 7.5 Page no 135" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Given\n", - "m=10.0*10**-3 #kgram\n", - "l= 10.0*10**-2 #Length in m\n", - "h=1.054*10**-34\n", - "n1=1\n", - "n2=2 \n", - "n3=3\n", - "\n", - "#Calculation\n", - "E1=(((3.14*h*n1)**2)/(2.0*m*(l**2)))/(1.6*10**-19)\n", - "E2=(((3.14*h*n2)**2)/(2.0*m*(l**2)))/(1.6*10**-19)\n", - "E3=(((3.14*h*n3)**2)/(2.0*m*(l**2)))/(1.6*10**-19)\n", - "\n", - "#Result\n", - "print\"energies are \", round(E1,46),\"ev,\",round(E2,46),\"ev,\",round(E3,45),\"ev\"\n", - "print\"these energies are extremely small and close together and hence can't be measured\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "energies are 3.4e-45 ev, 1.37e-44 ev, 3.1e-44 ev\n", - "these energies are extremely small and close together and hence can't be measured\n" - ] - } - ], - "prompt_number": 84 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 7.7 Page no 136" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Given\n", - "L=10**-9 #Width in m\n", - "v=9.0*10**-9\n", - "h=1.054*10**-34 #Js\n", - "c=3*10**8 #m/s\n", - "m=9.1*10**-31\n", - "v1=(9.0+1)*10**-9\n", - "v2=(9.0-1)*10**-9\n", - "\n", - "#Calculation\n", - "import math\n", - "n=math.sqrt((4*c*m*(L**2))/(v*math.pi*h))\n", - "n1=math.sqrt((4*c*m*(L**2))/(v1*math.pi*h))\n", - "n2=math.sqrt((4*c*m*(L**2))/(v2*math.pi*h))\n", - "\n", - "#Result\n", - "print\"value of n is \",round(n,0),\", When + sign is taken \",round(n2,0),\", when -ve sign is taken \",round(n1,0)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "value of n is 19.0 , When + sign is taken 20.0 , when -ve sign is taken 18.0\n" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 7.8 Page no 136" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Given\n", - "L1=0.4\n", - "L2=0.6\n", - "L=1 #Say\n", - "\n", - "#Calculation\n", - "import math\n", - "dx=(L2-L1)*L\n", - "#for ground state\n", - "P1=2/L*(math.sin(math.pi*L/2.0*L))**2*dx\n", - "#for first excited state\n", - "P2=2/L*(math.sin(2*math.pi*L/2.0*L))**2*dx\n", - "#for second excited state\n", - "P3=2/L*(math.sin(3*math.pi*L/2.0*L))**2*dx\n", - "\n", - "#Result\n", - "print\"(a) probability for ground state \", P1\n", - "print\"(b) probability for first excited state \",round(P2,1)\n", - "print\"(c) Probability for second excited state \", P3" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) probability for ground state 0.4\n", - "(b) probability for first excited state 0.0\n", - "(c) Probability for second excited state 0.4\n" - ] - } - ], - "prompt_number": 16 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 7.9 Page no 140" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Given\n", - "a=10.0**-14 #m\n", - "m=1.6*10**-27 #mass of a nucleon in kg\n", - "h=1.054*10**-34 #Js\n", - "\n", - "#Calculation\n", - "import math\n", - "Emin=((3*(math.pi**2)*(h**2))/(2.0*m*(a**2)))/(1.6*10**-19)\n", - "\n", - "#Result\n", - "print\"minimum energy of a nucleon is \", round(Emin*10**-6,1),\"Mev\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "minimum energy of a nucleon is 6.4 Mev\n" - ] - } - ], - "prompt_number": 17 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file -- cgit