Venue: Emmy Noether Seminar Room (Wed) & Chern Lecture Hall (Thu)
Class Timings: Wednesdays, 2:00 PM - 3:30 PM and Thursdays, 11:30 AM - 1:00 PM
First Meeting: 14 August 2024
Course Syllabus:
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.
WKB approximation
Perturbation Theory
Scattering Theory
Elements of quantum information theory
Course Outcome:
1. Comprehend various central ideas and mathematical structures of Quantum Mechanics at an advanced level.
2. Understand the important role of symmetries in Quantum mechanical systems and use it to calculate various properties of such quantum systems.
3. Understand and develop expertise in approximate techniques of quantum mechanics such as perturbation theory and scattering theory to be able to tackle experimentally relevant quantum systems.
- Teacher: Sthitadhi Roy
Credit Score: 4