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Quantum Mechanics and Applications NPTEL

Online Free Online Course by  World Mentoring Academy
Online / Free Online Course

Details

Basic mathematical preliminaries:Dirac Delta function and Fourier Transforms. Wave particle duality, one- and three- dimensional Schrödinger equation. The free particle problem in one dimension. Wave Packets and Group velocity. One-dimensional problems: Potential well of infinite and finite depths, the linear harmonic oscillator. Angular Momentum and rotation.

Resources: OpenCourseware from NPTEL (India), Sheridan College, MIT, UC Berkeley, Stanford & many other of the World's finest University's.

Language: English

Units: 42

Lesson content
  • Mod-01 Lec-01 Basic Quantum Mechanics I: Wave Particle Duality  
  • Mod-01 Lec-02 Basic Quantum Mechanics II: The Schrodinger Equation  
  • Mod-01 Lec-03 Dirac Delta Function & Fourier Transforms  
  • Mod-02 Lec-04 The Free Particle  
  • Mod-02 Lec-05 Physical Interpretation of The Wave Function  
  • Mod-02 Lec-06 Expectation Values & The Uncertainty Principle  
  • Mod-02 Lec-07 The Free Particle (Contd.)  
  • Mod-02 Lec-08 Interference Experiment & The Particle in a Box Problem  
  • Mod-02 Lec-09 On Eigen Values and Eigen Functions of the 1 Dimensional..,  
  • Mod-03 Lec-10 Linear Harmonic Oscillator  
  • Mod-03 Lec-11 Linear Harmonic Oscillator (Contd1.)  
  • Mod-03 Lec-12 Linear Harmonic Oscillator (Contd2.)  
  • Mod-03 Lec-13 Linear Harmonic Oscillator (Contd3.)  
  • Mod-04 Lec-14 Tunneling through a Barrier  
  • Mod-04 Lec-15 The 1-Dimensional Potential Wall & Particle in a Box  
  • Mod-04 Lec-16 Particle in a Box and Density of States  
  • Mod-05 Lec-17 The Angular Momentum Problem  
  • Mod-05 Lec-18 The Angular Momentum Problem (Contd.)  
  • Mod-06 Lec-19 The Hydrogen Atom Problem  
  • Mod-06 Lec-20 The Two Body Problem  
  • Mod-06 Lec-21 TheTwo Body Problem: The Hydrogen atom, The Deutron  
  • Mod-06 Lec-22 Two Body Problem: The Diatomic molecule (contd.)  
  • Mod-06 Lec-23 3d Oscillator & Dirac's Bra and Ket Algebra  
  • Mod-07 Lec-24 Dirac's Bra and Ket Algebra  
  • Mod-07 Lec-25 Dirac's Bra and Ket Algebra : The Linear Harmonic Oscillator  
  • Mod-07 Lec-26 The Linear Harmonic Oscillator using Bra and Ket Algebra (contd.)  
  • Mod-07 Lec-27 The Linear Harmonic Oscillator: Coherent State  
  • Mod-07 Lec-28 Coherent State and Relationship with the Classical Oscillator  
  • Mod-08 Lec-29 Angular Momentum Problem using Operator Algebra  
  • Mod-08 Lec-30 Angular Momentum Problem (contd.)  
  • Mod-08 Lec-31 Pauli Spin Matrices and The Stern Gerlach Experimen  
  • Mod-08 Lec-32 The Larmor Precession and NMR Spherical Harmonics using Operator Algebra  
  • Mod-08 Lec-33 Addition of Angular Momentum: Clebsch Gordon Coefficient  
  • Mod-08 Lec-34 Clebsch Gordon Coefficients  
  • Mod-09 Lec-35 The JWKB Approximation  
  • Mod-09 Lec-36 The JWKB Approximation: Use of Connection Formulae to solve Eigen value Prob  
  • Mod-09 Lec-37 The JWKB Approximation: Use of Connection Formulae  
  • Mod-09 Lec-38 The JWKB Approximation: Tunneling Probability Calculations and Applications.  
  • Mod-09 Lec-39 The JWKB Approximation: Justification of the Connection Formulae  
  • Mod-10 Lec-40 Time Independent Perturbation Theory  
  • Mod-10 Lec-41 Time Independent Perturbation Theory (Contd.1)  
  • Mod-10 Lec-42 Time Independent Perturbation Theory (Contd.2)  
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