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1. Heisenberg's Uncertainty Principle
2. Introduction to Linear Vector Spaces
3. Characteristics of linear vector spaces
4. Functions in a linear vector space
5. Linear Operations in a Linear Vector Space and Their Eigenvalues
6. Classical vs. Quantum Mechanics
7. Quantum Physics
8. Quantum Physics
9. Quantum Physics
10. Quantum Physics
11. Quantum Physics
12. Quantum Physics
13. Quantum Physics
14. Quantum Physics
15. Quantum Physics
16. Quantum Physics
17. Quantum Physics
18. Quantum Physics
19. Quantum Physics
20. Quantum Physics
21. Quantum Physics
22. Quantum Physics
23. Quantum Physics
24. Quantum Physics
25. Quantum Physics
26. Quantum Physics
27. Quantum Physics
28. Quantum Physics
29. Quantum Physics
30. Quantum Physics
31. Quantum Physics

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.

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