Characteristics of linear vector spaces 
Characteristics of linear vector spaces
by NPTEL / V. Balakrishnan
Video Lecture 3 of 31
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Views: 3,267
Date Added: April 11, 2009

Lecture Description

This video lecture, part of the series Quantum Physics, with V. Balakrishnan by Prof. V. Balakrishnan, does not currently have a detailed description and video lecture title. If you have watched this lecture and know what it is about, particularly what Physics topics are discussed, please help us by commenting on this video with your suggested description and title. Many thanks from,

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Course Index

Course Description

Lecture Series on Quantum Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras.


Introduction to Quantum Physics.

Heisenberg's uncertainty principle.

Introduction to linear vector spaces.

Characteristics of linear vector spaces.

Functions in a linear vector space.

Linear operations in a linear vector space and their matrices.

Classical vs Quantum Mechanics.

Schrodinger equation.

Schroedinger equation in time-independent vector potential.

Path Integral Approach to Quantum Mechanics.

Probability density and probability current.

Potential wells, bound states, delta-function potentials.

Bloch theorem.

Angular momentum:

Symmetry and invariance, group theory and rotations.

Addition of Angular Momentum.

Groups SO3, SU2.

Schrodinger Equation in 3 dimensions.

Hydrogen atom.

Introduction to Scattering Theory:

Partial wave expansion,

Born Approximation, effective range approximation.

The WKB approximation.

WKB method.

Bohr-Sommerfeld quantization.

Quantum dynamics.

Exchange operator, symmetrization and antisymmetrization.

Fermions in a box at zero temperature.

The Adiabatic and Born-Oppenheimer Approximations.

Time-independent Perturbation Theory.

Time-dependent Perturbation Theory.

Symmetries in Quantum Mechanics.


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