Lecture Description
- The CosmoLearning Team
Course Index
- 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 Eigenvalues
- Classical vs. Quantum Mechanics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
- Quantum Physics
Course Description
Lecture Series on Quantum Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras.
Topics:
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.