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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