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diff --git a/Modern_Physics_by_R_A_Serway/8-Quantum_Mechanics_in_Three_Dimensions.ipynb b/Modern_Physics_by_R_A_Serway/8-Quantum_Mechanics_in_Three_Dimensions.ipynb new file mode 100644 index 0000000..f06cdb4 --- /dev/null +++ b/Modern_Physics_by_R_A_Serway/8-Quantum_Mechanics_in_Three_Dimensions.ipynb @@ -0,0 +1,168 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 8: Quantum Mechanics in Three Dimensions" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 8.4: Orbital_quantum_number_for_a_stone.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab code Ex8.4: Pg 270 (2005)\n", +"clc; clear;\n", +"R = 1.00; // Radius of circle, m\n", +"T = 1.00; // Time period of revolution, s\n", +"v = (2*%pi*R)/T; // Speed of stone in its orbit, m/s\n", +"m = 1.00; // Mass of stone, kg\n", +"L = m*v*R; // Angular momentum of stone, kg-m^2/s\n", +"h_cross = 1.055e-34; // Reduced Planck's constant, kg-m^2/s\n", +"l = L/h_cross; // Orbtal quantum number\n", +"printf('\nThe orbtal quantum number for stone = %4.2fe+34', l*1e-34);\n", +"\n", +"// Result\n", +"// Orbtal quantum number for stone = 5.96e+34" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 8.6: Space_quantisation_for_an_atomic_electron.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab code Ex8.6: Pg 272 (2005)\n", +"clc; clear;\n", +"// For simplicity let h_cross = 1\n", +"h_cross = 1; // Reduced planck's constant\n", +"l = 3; // Given orbital quantum number\n", +"L = sqrt(l*(l+1)*h_cross); // Magnitude of total angular momentum, in h_cross units\n", +"m_l = [-3, -2, -1, 0, 1, 2, 3];\n", +"L_z = m_l*h_cross; // Allowed values of L_z\n", +"cos_theta = L_z/L;\n", +"theta = acosd(L_z/L); // Orientations of L_z, degrees\n", +"for i = 1:1:7\n", +" if theta(i) > 90 then\n", +" theta(i) = theta(i)-180;\n", +" end\n", +"end\n", +"printf('\nThe magnitude of total angular momentum = 2*sqrt(%d)*h_cross\n', L^2/4);\n", +"printf('\nThe allowed values of L_z in units of h_cross are :');\n", +"disp(L_z);\n", +"printf('\nThe orientations of L_z in degrees are:');\n", +"disp(theta);\n", +"\n", +"// Result\n", +"// The magnitude of total angular momentum = 2*sqrt(2)*h_cross\n", +"\n", +"// The allowed values of L_z in units of h_cross are : \n", +"// - 3. - 2. - 1. 0. 1. 2. 3. \n", +"\n", +"// The orientations of L_z in degrees are: \n", +"// - 30. - 54.73561 - 73.221345 90. 73.221345 54.73561 30. " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 8.7: Energy_of_Hydrogen_atom_at_first_excited_state.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab code Ex8.7: Pg 281 (2005)\n", +"clc; clear;\n", +"k = 9e+09; // Coulomb constant, N/Sq.m/C\n", +"e = 1.6e-019; // Electronic charge, C\n", +"a_0 = 0.529e-010; // Bohr's radius, m\n", +"n = 2; // Principal quantum number\n", +"l = [0, 1]; // Orbital quantum number\n", +"m_l = [-1, 0, 1]; // Orbital magnetic quantum number\n", +"Z = 1; // Atomic number of hydrogen\n", +"E2 = -k*e^2/(2*a_0)*Z^2/n^2; // Energy of first excited level of hydrogen, \n", +"printf('\nThe energy of first excited level of hydrogen = %3.1f eV', E2/e);\n", +"\n", +"// Result\n", +"// The energy of first excited level of hydrogen = -3.4 eV \n", +"" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 8.8: Probabilities_for_the_Electron_in_Hydrogen.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab code Ex8.8: Pg 284 (2005)\n", +"clc; clear;\n", +"P = 1/2*integrate('z^2*exp(-z)', 'z', 2, 100); // Take some large value of upper limit\n", +"printf('\nP(electron in the ground state of hydrogen will be found outside the first Bohr radius) = %4.1f percent', P*100);\n", +"\n", +"// Result\n", +"// P(electron in the ground state of hydrogen will be found outside the first Bohr radius) = 67.7 percent \n", +"" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |