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.
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.
Symmetry and invariance, group theory and rotations.
Addition of Angular Momentum.
Groups SO3, SU2.
Schrodinger Equation in 3 dimensions.
Introduction to Scattering Theory:
Partial wave expansion,
Born Approximation, effective range approximation.
The WKB approximation.
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.