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Course11510202342 lectures

Quantum Mechanics and Applications

Prof. Ajoy Ghatak · IIT Delhi

Start with lecture 1 At NPTEL

Lectures

Introduction and Basic Mathematical Preliminary

  1. Basic Quantum Mechanics I: Wave Particle Duality Video
  2. Basic Quantum Mechanics II: The Schrodinger Equation and The Dirac Delta Function Video
  3. Dirac Delta Function & Fourier Transforms Video

Simple Solutions of the one-dimensional Schrodinger Equation

  1. The Free Particle Video
  2. Physical Interpretation of The Wave Function Video
  3. Expectation Values & The Uncertainty Principle Video
  4. The Free Particle (Contd.) Video
  5. Interference Experiment & The Particle in a Box Problem Video
  6. On Eigen Values and Eigen Functions of the 1 Dimensional Schrodinger Equation Video

Linear Harmonic Oscillator-I

  1. Linear Harmonic Oscillator Video
  2. Linear Harmonic Oscillator (Contd1.) Video
  3. Linear Harmonic Oscillator (Contd2.) Video
  4. Linear Harmonic Oscillator (Contd3.) Video

Simple Applications of Schrodinger Equation

  1. Tunneling through a Barrier Video
  2. The 1-Dimensional Potential Wall & Particle in a Box Video
  3. Particle in a Box and Density of States Video

Angular Momentum - I

  1. The Angular Momentum Problem Video
  2. The Angular Momentum Problem (Contd.) Video

Hydrogen Atom and Other Two Body Problem

  1. The Hydrogen Atom Problem Video
  2. The Two Body Problem Video
  3. TheTwo Body Problem: The Hydrogen atom, The Deutron and The Diatomic Molecule Video
  4. Two Body Problem: The Diatomic molecule (contd.) and the 3 Dimensional Oscillator Video
  5. 3d Oscillator & Dirac's Bra and Ket Algebra Video

Bra-Ket Algebra and Linear Harmonic Oscillator- II

  1. Dirac’s Bra and Ket Algebra Video
  2. Dirac’s Bra and Ket Algebra : The Linear Harmonic Oscillator Video
  3. The Linear Harmonic Oscillator using Bra and Ket Algebra (contd.) Video
  4. The Linear Harmonic Oscillator: Coherent State and Relationship with the Classical Oscillator Video
  5. Coherent State and Relationship with the Classical Oscillator Video

Angular Momentum - II

  1. Angular Momentum Problem using Operator Algebra Video
  2. Angular Momentum Problem (contd.) Video
  3. Pauli Spin Matrices and The Stern Gerlach Experiment Video
  4. The Larmor Precession and NMR Spherical Harmonics using Operator Algebra Video
  5. Addition of Angular Momentum: Clebsch Gordon Coefficient Video
  6. Clebsch Gordon Coefficients Video

The JWKB Approximations and Applications

  1. The JWKB Approximation Video
  2. The JWKB Approximation: Use of Connection Formulae to solve Eigen value Problems. Video
  3. The JWKB Approximation: Use of Connection Formulae to calculate Tunneling Probability. Video
  4. The JWKB Approximation: Tunneling Probability Calculations and Applications. Video
  5. The JWKB Approximation: Justification of the Connection Formulae Video

Time Independent Perturbation Theory

  1. Time Independent Perturbation Theory Video
  2. Time Independent Perturbation Theory (Contd.1) Video
  3. Time Independent Perturbation Theory (Contd.2) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Delhi
Department
Physics
Teacher
Prof. Ajoy Ghatak
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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