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Swayam Central

Group Theory methods in Physics

By Prof. P. Ramadevi   |   IIT Bombay
This group theory 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

Learners enrolled: 329

SUMMARY

Course Status : Upcoming
Course Type : Elective
Duration : 12 weeks
Start Date : 27 Jan 2020
End Date : 17 Apr 2020
Exam Date : 26 Apr 2020
Enrollment Ends : 03 Feb 2020
Category :
  • Physics
  • Level : Undergraduate/Postgraduate
    This is an AICTE approved FDP course

    COURSE LAYOUT

    Week 1 : Introduction to discrete groups, subgroups and generators, conjugacy classes
    Week 2 : Symmetric groups, permuation group, cycle notation
    Week 3 : Direct product groups, semi-direct product groups
    Week 4 : Symmetries of molecules, point groups and Streographic 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 transformations
    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 by Hammermesh 
    2) Lie Algebra methods by Georgi

    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: 26th April 2020, 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.

    CRITERIA TO GET A CERTIFICATE:
    • 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.

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