In quantum field theory, the nonlinear Dirac equation is a model of self-interacting Dirac fermions. This model is widely considered in quantum physics as a toy model of self-interacting electrons. The nonlinear Dirac equation appears in the Einstein–Cartan–Sciama–Kibble theory of gravity, which extends general relativity to matter with intrinsic angular momentum (spin). This theory removes a constraint of the symmetry of the affine connection and treats its antisymmetric part, the torsion tensor, as a variable in varying the action. In the resulting field equations, the torsion tensor is a homogeneous, linear function of the spin tensor. The minimal coupling between torsion and Dirac spinors thus generates an axial-axial, spin–spin interaction in fermionic matter, which becomes significant only at extremely high densities. Consequently, the Dirac equation becomes nonlinear (cubic) in the spinor field, which causes fermions to be spatially extended and may remove the ultraviolet divergence in quantum field theory. (Wikipedia).
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
How do you graph an equation using the intercept method
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
What is everything you need to know to graph an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
What do I need to know to graph an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
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
Michael Weinstein: Waves and microstructures
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Partial Differential Equations
Lecture 9 | New Revolutions in Particle Physics: Basic Concepts
(December 1, 2009) Leonard Susskind discusses the equations of motion of fields containing particles and quantum field theory, and shows how basic processes are coded by a Lagrangian. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: http://csp.stan
From playlist Lecture Collection | Particle Physics: Basic Concepts
Overview of Linear equations - Free Math Videos - Online Tutor
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Michael Atiyah, Three -dimensional solitons [2005]
Professor Michael Atiyah of the University of Edinburgh, winner of the Fields Medal in 1966 and the Abel Prize in 2004 , will visit IMPA the week of 14 to 18 March 2005 to invitation of Professor Jacob Palis . He will speak at IMPA entitled "Three -dimensional solitons " , on March 15 at 1
From playlist Mathematics
Long time dynamics of 2d Euler and nonlinear inviscid damping - Hao Jia
Analysis Seminar Topic: Long time dynamics of 2d Euler and nonlinear inviscid damping Speaker: Hao Jia Affiliation: University of Minnesota Date: April 12, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
How do you graph an equation using slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
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
Topology and the Electromagnetic Responses of Quantum Materials by Joel E. Moore
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
From playlist ICTS at Ten
Summary for graphing an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
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
Lecture 6 | New Revolutions in Particle Physics: Basic Concepts
(November 9, 2009) Leonard Susskind gives the sixth lecture of a three-quarter sequence of courses that will explore the new revolutions in particle physics. In this lecture he continues on the subject of quantum field theory, including, the diary equation and Higgs Particles. Leonard S
From playlist Lecture Collection | Particle Physics: Basic Concepts
What do I need to know to graph an equation in standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Exact instanton summation in O(3) non-linear sigma model by Sergei Lukyanov
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalor
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics