{"id":65,"date":"2021-03-05T10:21:45","date_gmt":"2021-03-05T06:51:45","guid":{"rendered":"http:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/?page_id=65"},"modified":"2022-01-24T12:37:38","modified_gmt":"2022-01-24T09:07:38","slug":"quantum-electronics","status":"publish","type":"page","link":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/quantum-electronics\/","title":{"rendered":"Quantum Electronics"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><strong><em><u>Main reference:<\/u><\/em><\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>A. F. J.&nbsp;Levi, \u201c<em>Applied Quantum Mechanics<\/em>\u201d, Second Edition, 2012, 9780521183994<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong><em><u>Abstract<\/u><\/em><\/strong><\/h2>\n\n\n\n<p>Quantum mechanics is the basis for understanding physical phenomena on the atomic and nano-meter scale.&nbsp; There are numerous applications of quantum mechanics in biology, chemistry and engineering.&nbsp; Those with significant economic impact include semiconductor transistors, lasers, quantum optics and photonics.&nbsp; As technology advances, an increasing number of new electronic and opto-electronic devices will operate in ways that can only be understood using quantum mechanics.&nbsp; Over the next twenty years fundamentally quantum devices such as single-electron memory cells and photonic signal processing systems will become common-place.&nbsp; The purpose of this course is to cover a few selected applications and to provide a solid foundation in the tools and methods of quantum mechanics.&nbsp; The intent is that this understanding will enable insight and contributions to future, as yet unknown, applications.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong><em><u>Prerequisites<\/u><\/em><\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Mathematics:<\/strong><ul><li>A basic working knowledge of differential calculus, linear algebra, statistics, and geometry.<\/li><\/ul><\/li><li>&nbsp;<strong>Computer skills:<\/strong><ul><li>An ability to program numerical algorithms in C, MATLAB, FORTRAN or similar language and display results in graphical form.<\/li><\/ul><\/li><li><strong>Physics background:<\/strong><ul><li>Should include a basic understanding of Newtonian mechanics, waves, and Maxwell&#8217;s equations.<\/li><\/ul><\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\" \/>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Introduction:<\/strong>&nbsp;&nbsp;<em>Lectures 1 &#8211; 5<\/em><\/li><li>Lecture 1-2<\/li><li><em>REVIEW OF CLASSICAL CONCEPTS<\/em><ul><li>The linear and nonlinear oscillator<\/li><li>The one-dimensional simple harmonic oscillator<\/li><li>Harmonic oscillation of a diatomic molecule<\/li><li>The monatomic linear chain<\/li><li>The diatomic linear chain<\/li><li>Classical electromagnetism<\/li><\/ul><\/li><li>Lecture 3&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/li><li><em>TOWARDS QUANTUM MECHANICS \u2013 PARTICLES AND WAVES<\/em><ul><li>Diffraction and interference of light<\/li><li>Black-body radiation and evidence for quantization of light<\/li><li>Photoelectric effect and the photon particle<\/li><li>The link between quantization of photons and quantization of other particles<\/li><li>Diffraction and interference of electrons<\/li><li>When is a particle a wave?<\/li><\/ul><\/li><li>Lecture 4-5&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/li><li>WAVE-PARTICLE DUALITY<\/li><li><em>THE SCHR\u00d6DINGER WAVE EQUATION<\/em><ul><li>The wave function description of an electron of mass&nbsp;<em>m<\/em><sub>0<\/sub>&nbsp;in free-space<\/li><li>The electron wave packet and dispersion<\/li><li>The Bohr model of the hydrogen atom<\/li><li>Calculation of the average radius of an electron orbit in hydrogen<\/li><li>&nbsp;Calculation of energy difference between electron orbits in hydrogen<\/li><li>Periodic table of elements<\/li><li>Crystal structure<\/li><li>Three types of solid classified according to atomic arrangement<\/li><li>&nbsp;Two-dimensional square lattice, cubic lattices in three-dimensions<\/li><li>&nbsp;Electronic properties of semiconductor crystals<\/li><li>The semiconductor heterostructure<\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>Using the Schr\u00f6dinger wave equation:<\/strong><em> Lectures 6 &#8211; 8<\/em>&nbsp;<\/li><li>Lecture 6-8<ul><li>The effect of discontinuities in the wave function and its derivative<\/li><li>Wave function normalization and completeness<\/li><li>Inversion symmetry in the potential<\/li><li>Particle in a one-dimensional square potential well with infinite barrier energy<\/li><li><em>NUMERICAL SOLUTION OF THE SCHR\u00d6DINGER EQUATION<\/em><ul><li>Matrix solution to the discretized Schr\u00f6dinger equation<\/li><li>Nontransmitting boundary conditions. Periodic boundary conditions<\/li><\/ul><\/li><li><em>CURRENT FLOW<\/em><ul><li>Current flow in a one-dimensional infinite square potential well<\/li><li>Current flow due to a traveling wave<\/li><\/ul><\/li><\/ul><\/li><li><em>DEGENERACY IS A CONSEQUENCE OF SYMMETRY<\/em><ul><li>&nbsp;Bound states in three-dimensions and degeneracy of eigenvalues<\/li><li>BOUND STATES OF A SYMMETRIC SQUARE POTENTIAL WELL<\/li><li>Symmetric square potential well with finite barrier energy<\/li><li><em>TRANSMISSION AND REFLECTION OF UNBOUND STATES<\/em><ul><li>Scattering from a potential step when effective electron mass changes<\/li><li>Probability current density for scattering at a step<\/li><li>&nbsp;Impedance matching for unity transmission<\/li><\/ul><\/li><li><em>PARTICLE TUNNELING<\/em><ul><li>Electron tunneling limit to reduction in size of CMOS transistors<\/li><li><em>THE NONEQUILIBRIUM ELECTRON TRANSISTOR<\/em><\/li><\/ul><\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>Scattering in one-dimension:&nbsp; The propagation method:<\/strong>&nbsp;<em> Lectures 9 &#8211; 11<\/em><\/li><li>Lecture 9-11<\/li><li><em>THE PROPAGATION MATRIX METHOD<\/em><ul><li>Writing a computer program for the propagation method<\/li><li>Time reversal symmetry<\/li><li>Current conservation and the propagation matrix<\/li><li>The rectangular potential barrier<ul><li>Tunneling<\/li><\/ul><\/li><\/ul><\/li><li><em>RESONANT TUNNELING<\/em><ul><li>Localization threshold<ul><li>Multiple potential barriers<\/li><\/ul><\/li><\/ul><\/li><li><em>THE POTENIAL BARRIER IN THE&nbsp;d-FUNCTION LIMIT<\/em><\/li><li><em>ENERGY BANDS IN PERIODIC POTENTIALS:&nbsp; THE KRONIG-PENNY POTENTIAL<\/em><ul><li>Bloch\u2019s theorem<\/li><li>Propagation matrix in a periodic potential<\/li><li>Real and imaginary band structure<\/li><\/ul><\/li><li><em>THE TIGHT BINDING MODEL FOR ELECTRONIC BAND STRUCTURE<\/em><ul><li>Nearest neighbor and long-range interactions<\/li><li>Crystal momentum and effective electron mass<\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>Related mathematics:<\/strong>&nbsp;<em> Lectures 12 &#8211; 17<\/em><\/li><li>Lecture 12-13<\/li><li><em>ONE PARTICLE WAVE FUNCTION SPACE<\/em><\/li><li><em>PROPERTIES OF LINEAR OPERATORS<\/em><ul><li>Hermitian operators<\/li><li>Commutator algebra<\/li><\/ul><\/li><li><em>DIRAC NOTATION<\/em><\/li><li><em>MEASUREMENT OF REAL NUMBERS<\/em><ul><li>Time dependence of expectation values. Indeterminacy in expectation value<\/li><li>The generalized indeterminacy relation<\/li><\/ul><\/li><li><em>DENSITY OF STATES<\/em><ul><li>Density of states of particle mass&nbsp;<em>m<\/em>&nbsp;in 3D, 2D, 1D and 0D<\/li><li>Quantum conductance<\/li><li>Numerically evaluating density of states from a dispersion relation<\/li><li>Density of photon states<\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>The harmonic oscillator:<\/strong>&nbsp;<\/li><li>Lecture 14-17<\/li><li><em>THE HARMONIC OSCILLATOR POTENTIAL<\/em><\/li><li><em>CREATION AND ANNIHILATION OPERATORS<\/em><ul><li>The ground state. Excited states<\/li><\/ul><\/li><li><em>HARMONIC OSCILLATOR WAVE FUNCTIONS<\/em><ul><li>Classical turning point<\/li><\/ul><\/li><li><em>TIME DEPENDENCE<\/em><ul><li>The superposition operator. Measurement of a superposition state<\/li><li>Time dependence in the Heisenberg representation<\/li><li>Charged particle in harmonic potential subject to constant electric field<\/li><\/ul><\/li><li><em>ELECTROMAGNETIC FIELDS<\/em><ul><li>Laser light&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/li><li>Quantization of an electrical resonator<\/li><li>Quantization of lattice vibrations<\/li><li>Quantization of mechanical vibrations<\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>Time dependent perturbation theory and the laser diode (parts of this lectures will be taught in Optoelectronics):<\/strong>&nbsp;<em>Lectures 18 &#8211; 20<\/em><\/li><li>Lecture 18-20<\/li><li><em>FIRST-ORDER TIME-DEPENDENT PERTURBATION THEORY<\/em><ul><li>Abrupt change in potential<\/li><li>Time dependent change in potential<\/li><\/ul><\/li><li><em>CHARGED PARTICLE IN A HARMONIC POTENTIAL<\/em><\/li><li><em>FIRST-ORDER TIME-DEPENDENT PERTURBATION<\/em><\/li><li><em>FERMI\u2019S GOLDEN RULE<\/em><\/li><li><em>IONIZED IMPURITY ELASTIC SCATTERING RATE IN GaAs<\/em><ul><li>The coulomb potential. Linear screening of the coulomb potential<\/li><li>Correlation effects in position of dopant atoms<\/li><li>Calculating the electron mean free path<\/li><\/ul><\/li><li><em>EMISSION OF PHOTONS DUE TO TRANSITIONS BETWEEN ELECTRONIC STATES<\/em><ul><li>Density of optical modes in three dimensions<\/li><li>Light intensity<\/li><li>Background photon energy density at thermal equilibrium<\/li><li>Fermi\u2019s golden rule for stimulated optical transitions<\/li><li>The Einstein A and B coefficients<\/li><li>Occupation factor for photons in thermal equilibrium in a two-level system<\/li><li>Derivation of the relationship between spontaneous emission rate and gain<\/li><\/ul><\/li><li><em>THE SEMICONDUCTOR LASER DIODE<\/em><ul><li>Spontaneous and stimulated emission. Optical gain in a semiconductor. Optical gain in the presence of electron scattering<\/li><\/ul><\/li><li><em>DESIGNING A LASER CAVITY<\/em><ul><li>Resonant optical cavity.&nbsp; Mirror loss and photon lifetime<\/li><li>The Fabry-Perot laser diode. Rate equation models<\/li><\/ul><\/li><li><em>NUMERICAL METHOD OF SOLVING RATE EQUATIONS<\/em><ul><li>The Runge-Kutta method. Large-signal transient response. Cavity formation<\/li><\/ul><\/li><li><em>NOISE IN LASER DIODE LIGHT EMISSION<\/em><ul><li>Effect of photon and electron number quantization<\/li><li>Langevin and semiclassical master equations<\/li><\/ul><\/li><li><em>QUANTUM THEORY OF LASER OPERATION<\/em><ul><li>Density matrix<\/li><li>Single and multiple quantum dot, saturable absorber<\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>Time independent perturbation theory:<\/strong>&nbsp;&nbsp;<em>Lecture 21<\/em><\/li><li>Lecture 21<\/li><li><em>NON-DEGENERATE CASE<\/em><ul><li>Hamiltonian subject to perturbation&nbsp;<em>W<\/em><\/li><li>First-order correction.&nbsp; Second order correction<\/li><li>Harmonic oscillator subject to perturbing potential in&nbsp;<em>x<\/em>,&nbsp;<em>x<\/em><sup>2<\/sup>&nbsp;and&nbsp;<em>x<\/em><sup>3<\/sup><\/li><\/ul><\/li><li><em>DEGENERATE CASE<\/em><ul><li>Secular equation<\/li><li>Two states<\/li><li>Perturbation of two-dimensional harmonic oscillator<\/li><li>Perturbation of two-dimensional potential with infinite barrier<\/li><\/ul><\/li><li>&nbsp;=========================================================================<\/li><li><strong>Angular momentum, the hydrogenic atom, and bonds:<\/strong>&nbsp;&nbsp;<em>Lectures 22<\/em><\/li><li>Lecture 21<\/li><li><em>ANGULAR MOMENTUM<\/em><ul><li>Classical angular momentum<\/li><li>The angular momentum operator<\/li><li>Eigenvalues of the angular momentum operators&nbsp;<em>L<sub>z<\/sub><\/em>&nbsp;and&nbsp;<em>L<\/em><sup>2<\/sup><\/li><li>Geometric representation<\/li><\/ul><\/li><li>SPHERICAL HARMONICS AND THE HYDROGEN ATOM<ul><li>Spherical coordinates and spherical harmonics<\/li><li>The rigid rotator<\/li><li>Quantization of the hydrogenic atom<\/li><li>Radial and angular probability density<\/li><\/ul><\/li><\/ul>\n\n\n\n<figure id=\"ygtvtableel7\" class=\"wp-block-table\"><table><tbody><tr><td>Lecture Notes<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel8\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/L06.pdf?forcedownload=1\">L06.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel9\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/L07.pdf?forcedownload=1\">L07.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel10\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L01_Introduction.pdf?forcedownload=1\">QM_L01_Introduction.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel11\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L02_Classical%20mechanicswith%20notes.pdf?forcedownload=1\">QM_L02_Classical mechanicswith notes.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel12\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L02.pdf?forcedownload=1\">QM_L02.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel13\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L03_Tward%20Quantum%20Mecanicswithnotes.pdf?forcedownload=1\">QM_L03_Tward Quantum Mecanicswithnotes.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel14\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L04_Tward%20Quantum%20Mecanics.pdf?forcedownload=1\">QM_L04_Tward Quantum Mecanics.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel15\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L06_Using%20the%20Schr%C3%B6dinger%20wave%20equationwith%20notes.pdf?forcedownload=1\">QM_L06_Using the Schr\u00f6dinger wave equationwith notes.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel16\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L08_Schrodinger%20Wave%20Equation.pdf?forcedownload=1\">QM_L08_Schrodinger Wave Equation.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel17\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L09_Electron%20Propagation1.pdf?forcedownload=1\">QM_L09_Electron Propagation1.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel18\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L10_Electron%20Propagation2.pdf?forcedownload=1\">QM_L10_Electron Propagation2.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel19\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L11_Electron%20Propagation3.pdf?forcedownload=1\">QM_L11_Electron Propagation3.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel20\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L12_Eigenstates%20and%20Operators1.pdf?forcedownload=1\">QM_L12_Eigenstates and Operators1.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel21\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L13_Eigenstates%20and%20Operators2.pdf?forcedownload=1\">QM_L13_Eigenstates and Operators2.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel22\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L14_The%20Harmonic%20Oscillator01.pdf?forcedownload=1\">QM_L14_The Harmonic Oscillator01.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel23\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L15_The%20Harmonic%20Oscillator02.pdf?forcedownload=1\">QM_L15_The Harmonic Oscillator02.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel24\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L16_The%20Harmonic%20Oscillator03.pdf?forcedownload=1\">QM_L16_The Harmonic Oscillator03.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel25\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L20_Time-Independent%20Perturbation.pdf?forcedownload=1\">QM_L20_Time-Independent Perturbation.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure id=\"ygtvtableel26\" class=\"wp-block-table\"><table><tbody><tr><td><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\">&nbsp;<\/a><\/td><td><a href=\"https:\/\/elearning.hsu.ac.ir\/pluginfile.php\/524694\/mod_folder\/content\/0\/QM_L23_Time%20Dependent%20Pertubation.pdf?forcedownload=1\">QM_L23_Time Dependent Pertubation.pdf<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\" id=\"yui_3_17_2_1_1643014946578_27\"><li><ul><li><\/li><\/ul><\/li><li><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#section-3\">Homework &amp; Exams<\/a><ul><li><a href=\"https:\/\/elearning.hsu.ac.ir\/mod\/assign\/view.php?id=102276\">HW 01 \u062a\u06a9\u0644\u06cc\u0641<\/a>Plot dispersion of diatomic linear chain<\/li><li><a href=\"https:\/\/elearning.hsu.ac.ir\/mod\/assign\/view.php?id=110874\">HW02 \u062a\u06a9\u0644\u06cc\u0641<\/a><\/li><li><a href=\"https:\/\/elearning.hsu.ac.ir\/mod\/assign\/view.php?id=117840\">HW03 \u062a\u06a9\u0644\u06cc\u0641<\/a><\/li><li><a href=\"https:\/\/elearning.hsu.ac.ir\/mod\/assign\/view.php?id=126288\">Project 01, Chapter 3 \u062a\u06a9\u0644\u06cc\u0641<\/a> \u0646\u0645\u0648\u0646\u0647 \u06a9\u062f\u0647\u0627 \u0636\u0645\u06cc\u0645\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/li><li><a href=\"https:\/\/elearning.hsu.ac.ir\/mod\/assign\/view.php?id=142389\">HW04 \u062a\u06a9\u0644\u06cc\u0641<\/a><\/li><\/ul><\/li><\/ul>\n\n\n\n<p><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\"><\/a><a href=\"https:\/\/elearning.hsu.ac.ir\/course\/view.php?id=13264#\"><\/a><a href=\"https:\/\/elearning.hsu.ac.ir\/message\/index.php\"><\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Main reference: A. F. J.&nbsp;Levi, \u201cApplied Quantum Mechanics\u201d, Second Edition, 2012, 9780521183994 Abstract Quantum mechanics is the basis for understanding physical phenomena on the atomic and nano-meter scale.&nbsp; There are numerous applications of quantum mechanics in biology, chemistry and engineering.&nbsp; &hellip; <a href=\"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/quantum-electronics\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":21,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-65","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/pages\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/comments?post=65"}],"version-history":[{"count":9,"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/pages\/65\/revisions"}],"predecessor-version":[{"id":262,"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/pages\/65\/revisions\/262"}],"wp:attachment":[{"href":"https:\/\/staff.hsu.ac.ir\/mghorbanzadeh\/wp-json\/wp\/v2\/media?parent=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}