Quantum Mechanics and Applications

IIT Delhi , Prof.Ajoy Ghatak

Basic Quantum Mechanics II: The Schrodinger Equation

4386 views

Lecture Description

Quantum Mechanics and Applications by Prof. Ajoy Ghatak, Department of Physics, IIT Delhi. For more details on NPTEL visit http://nptel.iitm.ac.in

Course Description

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.
Three-dimensional Schrödinger equation: Particle in a box with applications to the free electron model. Particle in a spherically symmetric potential problem. The hydrogen atom and the deuteron.
(A numerical method to obtain solutions of the Schrödinger equation will also be discussed and a software to understand basic concepts in quantum mechanics will also be demonstrated).
Dirac’s bra – ket algebra; Linear Harmonic Oscillator problem using bra – ket algebra, creation and annihilation operators, transition to the classical oscillator, Coherent states.
The angular momentum problem, using bra – ket algebra, ladder operators and angular momentum matrices. The Stern Gerlach and magnetic resonance experiments. Addition of Angular Momenta and Clebsch Gordon coefficients.
Perturbation Theory with applications; The JWKB approximation with applications; Scattering Theory: Partial Wave Analysis.

SEE ALLAdd a note
YOU
Add your Comment
 

About

FreeVideoLectures Provides you complete information about best courses online, Video tutorials, helps you in building a career !!

help@freevideolectures.com

Learn More About us

FreeVideoLectures.com All rights reserved.

Setup Menus in Admin Panel