# Quantum Mechanics and Applications

IIT Delhi, , Prof. Ajoy Ghatak

Updated On 02 Feb, 19

IIT Delhi, , Prof. Ajoy Ghatak

Updated On 02 Feb, 19

Basic mathematical preliminaries:Dirac Delta function and Fourier Transforms.

Wave particle duality, one- and three- dimensional Schrdinger 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 Schrdinger 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 Schrdinger equation will also be discussed and a software to understand basic concepts in quantum mechanics will also be demonstrated).

Diracs 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.

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4.1 ( 11 )

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

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.