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Prerequisites for Group Theory Course: Matrix Algebra, Angular Momentum, and Quark Model, Exams of Physics Fundamentals

The prerequisites for a group theory course, including familiarity with different types of matrices and related operations, knowledge of angular momentum algebra in quantum mechanics, and optional background in the quark model. Students are encouraged to test their understanding by solving problems related to the number of independent elements of orthogonal, unitary, and hermitian matrices.

What you will learn

  • How many independent elements does an NxN hermitian matrix have?
  • How many independent elements does an NxN unitary matrix have?
  • How many independent elements does an NxN orthogonal matrix have?

Typology: Exams

2019/2020

Uploaded on 05/07/2020

souvik-kumar
souvik-kumar 🇮🇳

2 documents

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Prerequisites for the Group Theory course
Familiarity with different types of matrices, and knowledge of operations like matrix
multiplication, similarity transformations, etc.
Familiarity with angular momentum algebra of quantum mechanics.
Familiarity with quark model and the eightfold way may be helpful.
A quick check for yourself:
Find out the number of independent elements of an NxN matrix which is
(i) orthogonal; (ii) unitary; (iii) hermitian.

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Download Prerequisites for Group Theory Course: Matrix Algebra, Angular Momentum, and Quark Model and more Exams Physics Fundamentals in PDF only on Docsity!

Prerequisites for the Group Theory course Familiarity with different types of matrices, and knowledge of operations like matrix multiplication, similarity transformations, etc. Familiarity with angular momentum algebra of quantum mechanics. Familiarity with quark model and the eightfold way may be helpful. A quick check for yourself: Find out the number of independent elements of an NxN matrix which is (i) orthogonal; (ii) unitary; (iii) hermitian.