In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian. The original case which concerned Paul Dirac was to factorise formally an operator for Minkowski space, to get a form of quantum theory compatible with special relativity; to get the relevant Laplacian as a product of first-order operators he introduced spinors. It was first published in 1928. (Wikipedia).
Dirac delta function | Lecture 33 | Differential Equations for Engineers
Definition of the Dirac delta function and its Laplace transform. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http://www.youtube.co
From playlist Differential Equations for Engineers
Introduction to the Dirac Delta Function
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to the Dirac Delta Function
From playlist Differential Equations
Explanation of the Dirac delta function and its Laplace transform. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector Ca
From playlist Differential Equations
[Lesson 3] QED Prerequisites Dirac Formalism Part 3
This lesson is about the Dirac formalism's approach to linear operators. These operators will be the core of the theory of quantum mechanics, and the Dirac formalism is a very tight way of understanding them. [reposted to fix small error in title screen] Please consider supporting this c
From playlist QED- Prerequisite Topics
Dirichlet Eta Function - Integral Representation
Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna
From playlist Integrals
(ML 7.7.A1) Dirichlet distribution
Definition of the Dirichlet distribution, what it looks like, intuition for what the parameters control, and some statistics: mean, mode, and variance.
From playlist Machine Learning
Python Operators | Arithmetic, Relational, Unary, Assignment Operators | Python Tutorial | Edureka
🔥Edureka Python Developer Master's Course: https://www.edureka.co/masters-program/python-developer-training This Edureka Video on Python Operators is a part of the Python Tutorial Series which will help you understand what are operators in Python and how they are used. Operators in Python
From playlist Learn Python Programmimg - Edureka
1.5.2 The One Dimensional Dirac Delta Function
I introduce the Dirac delta function without any theoretical basis. Mathematicians run in horror.
From playlist Phys 331 Videos - Youtube
Gamma Matrices in Action #2 |Â How to do Calculations with Gamma Matrices
In this video, we show you how to use Dirac’s gamma matrices to do calculations in relativistic #QuantumMechanics! If you want to read more about the gamma matrices, we can recommend the book „An Introduction to Quantum Field Theory“ by Michael Peskin and Daniel Schroeder, especially cha
From playlist Dirac Equation
Ginestra Bianconi (8/28/21): The topological Dirac operator and the dynamics of topological signals
Topological signals associated not only to nodes but also to links and to the higher dimensional simplices of simplicial complexes are attracting increasing interest in signal processing, machine learning and network science. Typically, topological signals of a given dimension are investig
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Seminar In the Analysis and Methods of PDE (SIAM PDE): Michael Weinstein
Title: Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials Date: Thursday, February 2, 2023, 11:30 am EDT Speaker: Michael Weinstein, Columbia University Abstract: Floquet media are a type of material, in which time-periodic forcing is applied to alter the material’
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
Maria Esteban - Spectral results & open problems for Dirac-Coulomb operators w/ charge distributions
Recorded 12 April 2022. Maria J. Esteban of CNRS and Université Paris-Dauphine, Mathematics, presents "Spectral results and open problems for Dirac-Coulomb operators with general charge distributions" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: In this talk I will pr
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Eric Séré - The ground state of the Dirac-Fock energy for molecules and crystals - IPAM at UCLA
Recorded 13 April 2022. Eric Séré of the Université de Paris IX, Paris-Dauphine, presents "The ground state of the Dirac-Fock energy for molecules and crystals" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: I will present a definition of the ground state for the Dirac-
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Rudolf Zeidler - Scalar and mean curvature comparison via the Dirac operator
I will explain a spinorial approach towards a comparison and rigidity principle involving scalar and mean curvature for certain warped products over intervals. This is motivated by recent scalar curvature comparison questions of Gromov, in particular distance estimates under lower scalar c
From playlist Talks of Mathematics Münster's reseachers
Lisa Glaser: Truncated spectral triples on the computer
Talk by Lisa Glaser in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on February 2, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Quantum Mechanics 12b - Dirac Equation II
Here we explore solutions to the Dirac equation corresponding to electrons at rest, in uniform motion and within a hydrogen atom. Part 1: https://youtu.be/OCuaBmAzqek
From playlist Quantum Mechanics
Guo Chuang Thiang: What is a Coarse Index, physically?
Talk in Global Noncommutative Geometry Seminar, May 4, 2022
From playlist Global Noncommutative Geometry Seminar (Europe)
Physics Ch 67.1 Advanced E&M: Review Vectors (100 of 113) Is The Dirac Delta Function Useless? But..
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn why the Dirac delta function by itself is useless, but…the Dirac delta function is very useful in determining the value
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
Michael Weinstein: Dispersive waves in novel 2d media; Honeycomb structures, Edge States ...
Abstract: We discuss the 2D Schrödinger equation for periodic potentials with the symmetry of a hexagonal tiling of the plane. We first review joint work with CL Fefferman on the existence of Dirac points, conical singularities in the band structure, and the resulting effective 2D Dirac dy
From playlist Partial Differential Equations