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September 23, 2023

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Description

Introduction to Quantum Mechanics. Instructor: Professor Manoj K Harbola, Department of Physics, IIT Kanpur. This is the first course in Quantum Mechanics.

The focus of the course is going to be the ideas behind quantum mechanics and its application to simple systems. The course is taught along the lines of development of quantum mechanics so that students get a good feeling about the subject. (from nptel.ac.in)

Course Curriculum

  • Lecture 01 – Black Body Radiation I – Relevant Definitions and Block Body as Cavity Unlimited
  • Lecture 02 – Black Body Radiation II – Intensity of Radiation in terms of Energy Density Unlimited
  • Lecture 03 – Black Body Radiation III – Spectral Energy Density and Radiation Pressure … Unlimited
  • Lecture 04 – Black Body Radiation IV – Stefan-Boltzmann Law Unlimited
  • Lecture 05 – Black Body Radiation V – Wien’s Displacement Law and Analysis for Spectral Density Unlimited
  • Lecture 06 – Black Body Radiation VI – Wien’s Distribution Law and Rayleigh-Jeans Distribution Law Unlimited
  • Lecture 07 – Black Body Radiation VII – Quantum Hypothesis and Planck’s Distribution Formula Unlimited
  • Lecture 08 – Radiation as a Collection of Particles called Photons Unlimited
  • Lecture 09 – Quantum Hypothesis and Specific Heat of Solids Unlimited
  • Lecture 10 – Bohr’s Model of Hydrogen Spectrum Unlimited
  • Lecture 11 – Wilson Sommerfeld Quantum Condition I – Harmonic Oscillator and Particle in a Box Unlimited
  • Lecture 12 – Wilson Sommerfeld Quantum Condition II Unlimited
  • Lecture 13 – Wilson Sommerfeld Quantum Condition III Unlimited
  • Lecture 14 – Quantum Conditions and Atomic Structure, Electron Spin and Pauli’s Exclusion Principle Unlimited
  • Lecture 15 – Interaction of Atoms with Radiation: Einstein’s A and B Coefficients Unlimited
  • Lecture 16 – Stimulated Emission and Amplification of Light in a LASER Unlimited
  • Lecture 17 – Brief Description of a LASER Unlimited
  • Lecture 18 – Introduction to the Correspondence Principle Unlimited
  • Lecture 19 – General Nature of the Correspondence Principle Unlimited
  • Lecture 20 – Selection Rules (for Transitions) through the Correspondence Principle Unlimited
  • Lecture 21 – Applications of the Correspondence Principle Unlimited
  • Lecture 22 – Heisenberg’s Formulation of Quantum Mechanics: Expressing Kinetic Variables… Unlimited
  • Lecture 23 – Heisenberg’s Formulation of Quantum Mechanics: The Quantum Condition Unlimited
  • Lecture 24 – Heisenberg’s Formulation of Quantum Mechanics: Application to Harmonic Oscillator Unlimited
  • Lecture 25 – Brief Introduction to Matrix Mechanics and the Quantum Condition in Matrix Form Unlimited
  • Lecture 26 – Introduction to Waves and Wave Equation Unlimited
  • Lecture 27 – Stationary Waves, Eigenvalues and Eigenfunctions Unlimited
  • Lecture 28 – Matter Waves and Their Experimental Detection Unlimited
  • Lecture 29 – Representing a Moving Particle by a Wave Packet Unlimited
  • Lecture 30 – Stationary-state Schrodinger Equation and its Solution for a Particle in a Box Unlimited
  • Lecture 31 – Solution of Stationary-state Schrodinger Equation for a Simple Harmonic Oscillator Unlimited
  • Lecture 32 – Equivalence of Heisenberg and the Schrodinger Formulations Unlimited
  • Lecture 33 – Equivalence of Heisenberg and the Schrodinger Formulations Unlimited
  • Lecture 34 – Born Interpretation of the Wavefunction and Expectation Values of x and p Operators Unlimited
  • Lecture 35 – Uncertainty Principle and its Simple Applications Unlimited
  • Lecture 36 – Time Dependent Schrodinger Equation, the Probability Current Density and … Unlimited
  • Lecture 37 – Ehrenfest Theorem for the Expectation Values of x and p Operators Unlimited
  • Lecture 38 – Solution of Schrodinger Equation for a Particle in One and Two Delta Function Potentials Unlimited
  • Lecture 39 – Solution of Schrodinger Equation for a Particle in a Finite Well Unlimited
  • Lecture 40 – Numerical Solution of a One Dimensional Schrodinger Equation for Bound States I Unlimited
  • Lecture 41 – Numerical Solution of a One Dimensional Schrodinger Equation for Bound States II Unlimited
  • Lecture 42 – Reflection and Transmission of Particles across a Potential Barrier Unlimited
  • Lecture 43 – Quantum Tunneling and its Examples Unlimited
  • Lecture 44 – Solution of the Schrodinger Equation for Free Particles & Periodic Boundary Conditions Unlimited
  • Lecture 45 – Electrons in a Metal: Density of States and Fermi Energy Unlimited
  • Lecture 46 – Schrodinger Equation for Particles in Spherically Symmetric Potential, … Unlimited
  • Lecture 47 – Angular Momentum Operator and its Eigenfunctions Unlimited
  • Lecture 48 – Equation for Radial Component of the Wavefunction in Spherically Symmetric Potentials Unlimited
  • Lecture 49 – Solution for Radial Component of the Wavefunction for the Hydrogen Atom Unlimited
  • Lecture 50 – Numerical Solution for Radial Component of the Wavefunction for Spherically … Unlimited
  • Lecture 51 – Solution of the Schrodinger Equation for One Dimensional Periodic Potential Unlimited
  • Lecture 52 – Kronig-Penney Model and Energy Bands Unlimited
  • Lecture 53 – Kronig-Penney Model with Periodic Dirac Delta Function and Energy Bands Unlimited
  • Lecture 54 – Discussion on Bands Unlimited
  • Lecture 55 – Summary Unlimited

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