Download Mathematical Methods in Physics III Study Materials 2020. In this article, we are going to provide Study Notes for the School of Sciences. Students of B.Sc, M.Sc can download these Study Materials which will be useful for their Exam Preparation. This subject will come for the students in M.Sc I Semester & B.Sc III Year. Our website Exams Time has come up with the best materials for the main concepts of Matrices, Tensors, Group Theory, Complex Analysis, Fourier and Laplace Transforms, etc. Continue reading the below article to download the study books.
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Table of Contents
Mathematical Methods in Physics III Study Materials
|Name of the Subject||Mathematical Methods in Physics III|
|Category||School of Sciences|
|Useful for||B.Sc, M.Sc (Physics)|
|Course Type||Under Graduation and Post Graduation Courses|
|Article on||Study Materials 2020|
|Study Material Format|
|Download Other Study Materials||Click Here|
Mathematical Physics III Study Books
|Mathematical Methods of Physics III||Download|
Chapters & Topics
Matrices, Tensors and Group Theory
- Applications of Group Theory
- Basic Notions of Group Theory
- An Introduction to Tensors
- Diagonalization of Matrices
- The Eigen Value Problem for Special Matrices
- The Eigen Value Problem for Matrices
- The Residue Theorem and its Applications
- Complex Integration
- Functions of a Complex Variable – Analyticity
Fourier and Laplace Transforms
- Applications of Laplace Transforms
- Laplace Transforms
- Applications of Fourier Transforms
- Fourier Transforms
- Hermite and Laguerre Polynomials
- Bessel Functions
- Legendre Polynomials
Subject in the Universities
This subject will be useful to the students who are pursuing a Master of Science, Bachelor of Science in Physics. The following university students can also download Mathematical Methods in Physics III study materials :
- Uttarakhand Open University
- University of Calicut
- Lovely Professional University
Subject in the Semesters
Mathematical Methods in Physics III subject will be studied by the students in the following semesters of their respective courses :
- B.Sc Physics III Year
- M.Sc Physics I Semester
Unit wise PDFs
Download Unit wise PDFs of Mathematical Methods in Physics III subject :
|Matrices, Tensors and Group Theory||Download|
|Fourier and Laplace Transforms||Download|
We have mentioned some of the important questions of Mathematical Methods in Physics III subject :
- Define a group?
- Discuss the connection between group theory and symmetry in physical systems?
- Determine the multiplication table, conjugate elements, classes and subgroups of a group.
- Define a tensor and explain the need of tensors in the formulation of scientific laws?
- Explain the difference between contravariant and covariant components of vectors and of tensors.
- Determine whether a physical quantity transforms like a tensor.
- Define similarity, unitary and orthogonal transformations?
- Reduce a matrix to its diagonal form.
- Define real, symmetric, antisymmetric, hermitian, anti hermitian and unitary matrices?
- Determine the eigenvalues and eigenvectors of hermitian and unitary matrices?
- State and prove various properties of the eigenvalues and eigenvectors of symmetric, hermitian, and unitary matrices.
- State and apply the Cayley-Hamilton Theorem.
- Write the integral representation of Bessel functions?
- Write generating functions of Hermite and Laguerre polynomials?
- Derive the recurrence relations for Legendre polynomials?
- Derive the orthogonality relation for Legendre polynomials?
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