**Venue**: Online

**Class timings**: Tuesdays and Thursdays 09:15 AM to 10:45 AM

**First meeting**: 20th September 2021

**Course description**:

Mathematical preliminaries of quantum mechanics: Linear Algebra; Hilbert spaces (states and operators)

Heisenberg and Schrodinger pictures

Symmetries: Role of symmetries and types (space-time and internal, discrete and continuous); Symmetries and quantum numbers; Simple examples of symmetry (Translation, parity, time-reversal); Rotations and representation theory of Angular momentum; Creation and annihilation operator formalism for a simple harmonic oscillator.

Perturbation Theory

Scattering

We will also study some additional topics, including some elements of quantum information theory.

**Textbook**: Modern Quantum Mechanics by Sakurai

**Course evaluation:**

Assignments (typically one every two weeks): 60 %

2-month Term paper + presentation at the end of the semester (topics to be listed after the course starts): 20 %

End sem exam (in-class if situation permits): 20 %

- Teacher: Subhro Bhattacharjee