Quantum Mechanics I Course | IIT Bombay | Dirac Notation, LVS, Angular Momentum
Course Details
| Exam Registration | 273 |
|---|---|
| Course Status | Ongoing |
| Course Type | Core |
| Language | English |
| Duration | 12 weeks |
| Categories | Physics |
| Credit Points | 3 |
| Level | Undergraduate |
| Start Date | 19 Jan 2026 |
| End Date | 10 Apr 2026 |
| Enrollment Ends | 02 Feb 2026 |
| Exam Registration Ends | 20 Feb 2026 |
| Exam Date | 24 Apr 2026 IST |
| NCrF Level | 4.5 — 8.0 |
Unlock the Mathematical Foundations of Quantum Mechanics
Embark on a structured journey into the formal framework of quantum theory with the Quantum Mechanics I course from the prestigious Indian Institute of Technology Bombay. This 12-week undergraduate program is meticulously designed to build a rigorous understanding of quantum mechanics using Dirac's elegant bra-ket notation, setting a solid foundation for advanced studies in theoretical physics, quantum computing, and related fields.
Course Overview: Building a Rigorous Foundation
Taught by Prof. P. Ramadevi, an expert in mathematical physics with research expertise in knot invariants and topological strings, this course transitions students from the wavefunction formalism to the more powerful and abstract language of state vectors and operators in linear vector spaces. It is the essential next step after an introductory quantum physics course.
Who Should Enroll?
This course is perfectly tailored for:
- B.Tech students in Engineering Physics or Electrical Engineering
- M.Sc. Physics students
- Students in 5-year integrated M.Sc. Chemistry programs
- Any undergraduate with a keen interest in the mathematical structure of quantum theory
Prerequisites: What You Need to Know
To succeed, you must have completed a sophomore-level course covering:
- The Schrödinger equation
- Wavefunction formalism
- Calculation of expectation values
- Solutions for basic potentials like the particle in a box, potential well, barrier, and harmonic oscillator (which are reviewed in Week 1).
Detailed 12-Week Course Layout
The course is systematically divided to guide you from foundational concepts to advanced topics.
| Week | Core Topics Covered |
|---|---|
| Week 1-2 | Introduction & Review, Bound States in One Dimension |
| Week 3-4 | Linear Vector Spaces (LVS), Function Spaces, Postulates of Quantum Mechanics |
| Week 5-6 | Classical vs. Quantum, Compatible Observables, Schrödinger vs. Heisenberg Pictures |
| Week 7 | Hydrogen Atom, Angular Momentum Operators, Identical Particles & Quantum Computing |
| Week 8-9 | Harmonic Oscillator with Ladder Operators, Stern-Gerlach Experiment |
| Week 10-12 | Angular Momentum Theory, Rotation Groups, Addition of Angular Momentum, Clebsch-Gordan Coefficients, Tensor Operators & the Wigner-Eckart Theorem |
Key Learning Objectives and Outcomes
By the end of this course, you will be able to:
- Fluently use Dirac's bra-ket notation to represent states and operators.
- Formulate quantum mechanics in the language of linear vector spaces and Hilbert spaces.
- Understand and apply the fundamental postulates of quantum mechanics.
- Solve problems using algebraic methods, notably for the harmonic oscillator.
- Master the theory of angular momentum, including addition rules and the powerful Wigner-Eckart theorem.
- Appreciate the connection to modern applications like quantum computation.
Primary Textbook
The course follows the acclaimed text Modern Quantum Mechanics by J.J. Sakurai. This book is a cornerstone for advanced undergraduate and graduate studies, known for its clear presentation of concepts like symmetry and angular momentum within the bra-ket framework.
Why Take This Course?
This course is more than a syllabus; it's a bridge to advanced physics. Prof. Ramadevi's background in mathematical physics ensures a deep and precise presentation of the subject's structure. Mastering this material is crucial for anyone aiming for research in theoretical physics, quantum information science, condensed matter theory, or particle physics. The focus on formalism prepares you to read modern research literature and tackle more specialized courses with confidence.
Enroll in Quantum Mechanics I to transform your understanding from solving differential equations to manipulating the elegant, powerful algebra that underpins all of modern quantum theory.
Enroll Now →