Hamiltonian mechanics | Mathematical quantization | Symplectic geometry
The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to treat classical systems with second class constraints in Hamiltonian mechanics, and to thus allow them to undergo canonical quantization. It is an important part of Dirac's development of Hamiltonian mechanics to elegantly handle more general Lagrangians; specifically, when constraints are at hand, so that the number of apparent variables exceeds that of dynamical ones. More abstractly, the two-form implied from the Dirac bracket is the restriction of the symplectic form to the constraint surface in phase space. This article assumes familiarity with the standard Lagrangian and Hamiltonian formalisms, and their connection to canonical quantization. Details of Dirac's modified Hamiltonian formalism are also summarized to put the Dirac bracket in context. (Wikipedia).
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
(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
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
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
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
Gamma Matrices and the Clifford Algebra
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
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
Basic Dirac Notation For Intellectuals
Let's go over some basic dirac notation for quantum mechanics. I go over how to write a vector as a linear combination of basis vectors, and how to find the components of a vector in dirac notation. I also go over the completeness relation as a sum of outer products. For information on my
From playlist Math/Derivation Videos
Noether’s Theorem in Classical Dynamics : Continuous Symmetries by N. Mukunda
DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (
From playlist The Legacy of Emmy Noether
The holographic fish-chain at finite coupling (Lecture - 02) by Amit Sever
STRING THEORY LECTURES THE FISHNET MODEL - A PLAYGROUND FOR LARGE N HOLOGRAPHY SPEAKER: Amit Sever (Tel Aviv University, Israel & CERN, Geneva) DATE: 24 June 2019 to 26 June 2019 VENUE: Emmy Noether Seminar Room, ICTS Bangalore Lecture 1: Monday, 24 June 2019 at 14:30 Lecture 2: Tues
From playlist String Theory Lectures
(ML 7.8) Dirichlet-Categorical model (part 2)
The Dirichlet distribution is a conjugate prior for the Categorical distribution (i.e. a PMF a finite set). We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
François Gay-Balmaz : A Langrgian Variational Formulation of Nonequilibrium thermodynamics
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
From the Dirac Lagrangian to the Dirac Equations | Non-Interacting Lagrangian Density
In this video, we continue with the Dirac Lagrangian which describes spin-1/2 particles in #QuantumMechanics and show how to get the Dirac equation using the Euler-Lagrange equations! If you want to read more about the Dirac equation, we can recommend the book „An Introduction to Quantum
From playlist Dirac Equation
Allan MacDonald: "Electronic and optical properties of 2D moiré superlattices"
Theory and Computation for 2D Materials "Electronic and optical properties of 2D moiré superlattices" Allan MacDonald Institute for Pure and Applied Mathematics, UCLA January 15, 2020 For more information: http://www.ipam.ucla.edu/tcm2020
From playlist Theory and Computation for 2D Materials 2020
Jean Michel BISMUT - Fokker-Planck Operators and the Center of the Enveloping Algebra
The heat equation method in index theory gives an explicit local formula for the index of a Dirac operator. Its Lagrangian counterpart involves supersymmetric path integrals. Similar methods can be developed to give a geometric formula for semi simple orbital integrals associated with the
From playlist Integrability, Anomalies and Quantum Field Theory
Quantum Field Theory 1a - Creation and Destruction I
The theory of quantum mechanics we developed in the previous series has some loose ends. Notably: 1) We talk about photons being emitted (created) and absorbed (destroyed) but we haven't given a rigorous description of this process. 2) The Dirac equation implies the presence of a "Dirac se
From playlist Quantum Field Theory
(ML 7.7) Dirichlet-Categorical model (part 1)
The Dirichlet distribution is a conjugate prior for the Categorical distribution (i.e. a PMF a finite set). We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning