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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

The Group Theory Methods In Physics Training course will provide the candidate an understanding of basic group theory methods in physics within a systematic manner. The course will cover the topics like Mulliken notation, great orthogonality theorem, and character tables, root vector diagrams, conjugacy classes, and unitary groups, subgroups and generators, weight vector diagrams, and basic introduction to discrete groups, su(2), su(3). 

The Group Theory Methods In Physics Programme will be having an instructor from IIT Bombay where the course e-certificate will be provided to candidates with the logo of NPTEL and IIT Bombay. The duration will be 12 weeks with online learning.

The participants' Group Theory Methods In Physics by Swayam will provide the candidate to go in-depth knowledge of orthogonal groups and lie algebra with continuous groups, generators, Lorentz transformation and quark model, su(3) baryons, mesons, Wigner-Eckart theorem, a hydrogen atom, dynamical symmetry. The experience of the instructor will help the candidate in solving the problems in a proper manner.

The Highlights

  • 100% free learning course
  • Online learning
  • IIT Bombay instructor
  • 12 weeks of course duration
  • Self-paced learning
  • Course delivered by Swayam 
  • Certificate of completion by IIT Bombay and NPTEL

Programme Offerings

  • video lectures
  • Readings
  • assessment
  • Books
  • Online discussion forum
  • tests
  • Quiz
  • audio lectures
  • references

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Bombay
  • The Group Theory Methods In Physics Fees is free of cost.
  • The exam fee for the program is Rs.1,000

Group Theory Methods In Physics Fees details

Fee structure

Amount in Rs.

Exam Fee

Rs. 1,000

Program enrollment fees

Free


Eligibility Criteria

Education

The candidate in the course must have a physics background and prior knowledge of Linear algebra, special theory of relativity, and quantum mechanics is compulsory. 

Certification Qualifying Details

The Group Theory Methods In Physics Certification will be given to those applicants who will be giving the test after the course completion. The candidates need to score a minimum of 75% in exams and 25% in their assignments. The student who will not give the assessment will not be conceded to any course certification.

What you will learn

Mathematical skill

The candidate in this course will learn and develop their understanding of the topics mentioned below after the Group Theory Methods In Physics Certification Syllabus:

  • The learner will be able to develop their understanding with orthogonality theorem and character tables, Mulliken notation, basis.
  • The students will learn about the projection operator, tensor product, selection rules, molecular vibrations, and observables.
  • The student will know about the point groups and stereographic projection and symmetries of molecules.
  • The students will learn about the su(3) baryons, quark model, winner-Eckart theorem, mesons, dynamical symmetry, and the hydrogen atom.
  • They will explore the discrete subgroups and generators, groups, and conjugacy classes.
  • The student will learn the orthogonal groups and lie algebra.

Who it is for

The Group Theory Methods In Physics Programme can be taken by the following people:

  • The candidate who has a physics background and prior knowledge of Linear algebra, special theory of relativity, and quantum mechanics can take up this course.

Admission Details

The candidate has to follow the admission step as given below to enrol them for the Group Theory Methods In Physics Online Certification course:

Step1. Click on the offered link to guide yourself to the course site: https://onlinecourses.nptel.ac.in/noc22_ph07/preview

Please note: The course enrollment is closed at the moment. Candidates can apply to this program once the course admission opens. 

The Syllabus

  • Introduction to discrete groups
  • Subgroups and generators
  • Conjugacy classes

  • Symmetric groups
  • Permutation group
  • Cycle notation

  • Direct product groups
  • Semi-direct product groups

  • Symmetries of molecules
  • Point groups and stereographic projection

  • Matrix representation of groups
  • Reducible and irreducible representation

  • Great orthogonality theorem and character tables
  • Mulliken notation
  • Basis

  • Tensor product
  • Projection operator
  • Observables
  • Selection rules
  • Molecular vibrations

  • Continuous groups
  • Generators
  • Lorentz transformation

  • Orthogonal groups and lie algebra

  • Unitary groups
  • su(2)
  • su(3)
  • weight vector diagrams and root vector diagrams

  • Wigner-eckart theorem
  • Examples

  • Quark model
  • su(3) baryons
  • Mesons
  • Wigner-eckart theorem
  • Hydrogen atom
  • Dynamical symmetry

Evaluation process

The Group Theory Methods In Physics Certification will be given to those applicants who will be giving the test after the course completion. The candidates need to score a minimum of 75% in exams and 25% in their assignments. The student who will not give the assessment will not be conceded to any course certification.

Instructors

IIT Bombay Frequently Asked Questions (FAQ's)

1: How will the course certification be given?

The course certificate will be sent to the applicant's mail Id and no printed duplicate of the endorsement will be transported off the competitor.

2: Can a candidate get enlisted themselves in more than one course all the while?

Genuinely, the competitor who needs to look at changed courses can enlist themselves in various courses all the while.

3: What is the technique for instructing in the course?

The strategy for training will be online all through the course span.

4: What is the course duration and class timings in the course?

The course length will be of 12 weeks and this is an independent course candidate can focus on by their time accommodation.

5: What are the test expenses to be paid by the candidate?

The Group Theory Methods In Physics Fees for exam form is Rs.1,000. a printed duplicate of the endorsement will be sent off to the competitor.

6: Who is the instructor in the course?

The course instructor will be a faculty from IIT Bombay to teach candidates in depth.

7: What is the course charge to be paid by the candidate?

The course is liberated from any expense for every candidate as it is a course launched by the government of India in program swayam.

8: What is the strategy for assessment in the course for the certification?

The technique for the examination will be from an exam center that is offline and the applicant needs to visit the test center to give the examination for the certificate confirmation.

9: What is the benefit of having the certificate of this program?

The e-certificate will have the logos of NPTEL and IIT Bombay which will help them in upgrading their resume or CV.

10: What are the qualification standards to get the course certification?

The Theory Methods In Physics  Certification will be given to those up-and-comers who will be giving the test before the course fruition. The candidates need to score at any rate 25% in their assignment and 75% in the examination. The student who will not give the assessment will not be conceded any course endorsement.

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