Representation theory of Lie groups | Rotational symmetry | Special hypergeometric functions | Matrices
The Wigner D-matrix is a unitary matrix in an irreducible representation of the groups SU(2) and SO(3). It was introduced in 1927 by Eugene Wigner, and plays a fundamental role in the quantum mechanical theory of angular momentum. The complex conjugate of the D-matrix is an eigenfunction of the Hamiltonian of spherical and symmetric rigid rotors. The letter D stands for Darstellung, which means "representation" in German. (Wikipedia).
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
4.4.4 Matrix-matrix multiplication: Special Shapes
4.4.1 Matrix-matrix multiplication: Motivation
From playlist LAFF - Week 4
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
matrix choose a matrix. Calculating the number of matrix combinations of a matrix, using techniques from linear algebra like diagonalization, eigenvalues, eigenvectors. Special appearance by simultaneous diagonalizability and commuting matrices. In the end, I mention the general case using
From playlist Eigenvalues
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
Matrices | Determinant of a Matrix (Part 3) | Don't Memorise
To learn more about, Matrices, enroll in our full course now: https://bit.ly/Matrices_DM Watch Determinant of a Matrix (Part 2) here - https://youtu.be/wrIAFfZBoBM In this video, we will learn: 0:00 determinant of a 3x3 matrix 0:34 how to find the determinant of a matrix? 2:59 steps to
From playlist Matrices
Identity Matrix | Unit Matrix | Don't Memorise
This video explains the concept of an Identity Matrix. Is it also called a Unit Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=iks8wCfPerU&utm_term=%7Bkeyword%
From playlist Matrices
Applications of random matrix theory on PCA - Jun Yin
Jun Yin IAS April 3, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Random Matrix Theory and its Applications by Satya Majumdar ( Lecture 2 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)
Quantum chaos, random matrices and statistical physics (Lecture 03) by Arul Lakshminarayan
ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 27 June 2018 to 13 July 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in
From playlist Bangalore School on Statistical Physics - IX (2018)
How to Quickly Create a Matrix in GeoGebra; How to Multiply 2 Matrices
Creating a matrix in GeoGebra is EASY. You need to use the LIST icons { }. In GeoGebra, a matrix is actually a sequence of lists within a single list. This video shows how.
From playlist Algebra 1: Dynamic Interactives!
Dyson Brownian motion, free fermions and connections to Random Matrix Theory by Gregory Schehr
PROGRAM : BANGALORE SCHOOL ON STATISTICAL PHYSICS - XII (ONLINE) ORGANIZERS : Abhishek Dhar (ICTS-TIFR, Bengaluru) and Sanjib Sabhapandit (RRI, Bengaluru) DATE : 28 June 2021 to 09 July 2021 VENUE : Online Due to the ongoing COVID-19 pandemic, the school will be conducted through online
From playlist Bangalore School on Statistical Physics - XII (ONLINE) 2021
Quantum chaos, random matrices and statistical physics (Lecture 05) by Arul Lakshminarayan
ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 27 June 2018 to 13 July 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in
From playlist Bangalore School on Statistical Physics - IX (2018)
Winter Theory School 2022: Fabian Essler
BBGKY, Boltzmann equation and GHD
From playlist Winter Theory 2022
Gergely Harcos - A glimpse at arithmetic quantum chaos
slides for this talk: https://www.msri.org/workshops/801/schedules/21771/documents/2987/assets/27969 Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017 February 07, 2017 (11:00 AM PST - 12:00 PM PST) Speaker(s): Gergely Harcos (Central European Universit
From playlist Number Theory
Spectral Statistics of Lévy Matrices - Patrick Lopatto
Analysis Seminar Topic: Spectral Statistics of Lévy Matrices Speaker: Patrick Lopatto Affiliation: Member, School of Mathematics Date: October 19, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Random Matrix Theory and its Applications by Satya Majumdar ( Lecture 4 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)
Definition of a matrix | Lecture 1 | Matrix Algebra for Engineers
What is a matrix? Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
Spherical Tensor Operators | Wigner D-Matrices | Clebsch–Gordan & Wigner–Eckart
In this video, we will explain spherical tensor operators. They are defined like this: A spherical tensor operator T^(k)_q with rank k is a collection of 2k+1 operators that are numbered by the index q, which transform under rotations in the same way as spherical harmonics do. They are als
From playlist Quantum Mechanics, Quantum Field Theory