Group Theory methods in Physics

By Prof. P. Ramadevi   |   IIT Bombay
Learners enrolled: 694
This group theory course is pitched at beginners at UG/PG level so that the students can appreciate the wide applications of the group theory tools in other areas of physics.

INTENDED AUDIENCE : Physics background

PREREQUISITES : Linear algebra, quantum mechanics, special theory of relativity

INDUSTRY SUPPORT : This tool may be applicable at R&D department of industries
Course Status : Completed
Course Type : Elective
Duration : 12 weeks
Category :
  • Physics
Credit Points : 3
Level : Undergraduate
Start Date : 24 Jan 2022
End Date : 15 Apr 2022
Enrollment Ends : 07 Feb 2022
Exam Date : 24 Apr 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1 : Introduction to discrete groups, subgroups and generators, conjugacy classes
Week 2 : Symmetric groups, permutation group, cycle notation
Week 3 : Direct product groups, semi-direct product groups
Week 4 : Symmetries of molecules, point groups and stereographic projection
Week 5 : Matrix representation of groups, reducible and irreducible representation
Week 6 : Great orthogonality theorem and character tables, Mulliken notation, basis
Week 7 : Tensor product, projection operator, observables, selection rules, molecular vibrations
Week 8 : Continuous groups, generators, Lorentz transformation
Week 9 : Orthogonal groups and Lie algebra
Week 10 : Unitary groups, SU(2), SU(3), weight vector diagrams and root vector diagrams 
Week 11 : Wigner-Eckart theorem, examples
Week 12 : Quark model, SU(3) baryons, mesons, Wigner-Eckart theorem, hydrogen atom, dynamical symmetry 

Books and references

1) Group Theory and its Applications to Physics Problems  by Morton Hamermesh
2) Lie Algebras in Particle Physics  by Georgi Howard 
3) Group Theory for Physicists : With Applications  by Pichai Ramadevi and Varun Dubey

Instructor bio

Prof. P. Ramadevi

IIT Bombay
My field of research is mathematical physics. I have been working on knot invariants from Chern-Simons theory and topological strings.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 24 April 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Bombay.It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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