Variational principles

Fermat's and energy variation principles in field theory

In general relativity, light is assumed to propagate in a vacuum along a null geodesic in a pseudo-Riemannian manifold. Besides the geodesics principle in a classical field theory there exists Fermat's principle for stationary gravity fields. (Wikipedia).

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Mod-02 Lec-07 Gauss's Law, Potential

Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Electromagnetic Theory

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Variational Principle Introduction

In this video, I introduce the variational principle in quantum mechanics, how it is derived, and why you might want to use it. Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos. This

From playlist Quantum Mechanics

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Fermions in synthetic gauge fields and synthetic dimensions by Vijay Shenoy

New questions in quantum field theory from condensed matter theory URL: http://www.icts.res.in/discussion_meeting/qft2015/ Description:- The last couple of decades have seen a major revolution in the field of condensed matter physics, where the severe limitations of conventional paradigm

From playlist New questions in quantum field theory from condensed matter theory

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Quantum Field Theory 4b - Second Quantization II

We work out the details of the fermion creation and destruction operators and summarize the quantum field theories of photons and electrons we have developed so far. This video borrows from Chapter 4 of A Pedestrian Approach to Quantum Field Theory by Edward G. Harris (ISBN-13: 978-048678

From playlist Quantum Field Theory

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Is ACTION The Most Fundamental Property in Physics?

Learn More About NordVPN at: https://nordvpn.com/spacetime It’s about time we discussed an obscure concept in physics that may be more fundamental than energy and entropy and perhaps time itself. That’s right - the time has come for Action. Sign Up on Patreon to get access to the Space

From playlist The Standard Model Lagrangian Playlist

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Gauss Law - From Basics to application (Electric Flux,Area Vector)

Support me on Patreon: https://www.patreon.com/quahntasy Gauss Law for Electric Flux is explained and gauss's law applications in a line of charge using animated video.Similar is Gauss Law for magnetism. In this video,I start from the very basics and end up applying Gauss law for electric

From playlist Amazing Physics Animations and stories

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Uniqueness: The Physics Problem That Shouldn't Be Solved

The Uniqueness Theorem can PROVE that this problem only has one possible solution... so however we can find it (e.g. guessing), we know we've got the right one! In this video, we'll be taking a look at how this uniqueness theorem is derived for the Poisson and Laplace equations in electro

From playlist Classical Physics by Parth G

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Schrodinger's Equation

Schrodinger's Equation for wave functions in Quantum Physics. My Patreon Page is at https://www.patreon.com/EugeneK

From playlist Physics

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Lagrangian Mechanics: How powerful is it?

Check out Brilliant for 20% off: http://brilliant.org/ScienceAsylum Is Lagrangian mechanics powerful enough to replace Newton's laws? What does the principle of least action say about cause and effect (causality)? What the heck is an action? Let's find out! ________________________________

From playlist New to the Science Asylum?

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Mandelbrot fractal zoom // featuring Euler bio

Mandelbrot fractal zoom // featuring Euler bio Come hang out and watch a fractal zoom through the Mandelbrot set. To celebrate Euler's contributions to mathematics, this video features a brief bio. of Leonhard Euler! ---------------------------------------------------------------------

From playlist Misc.

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Emergence of singularities from decoherence in a Josephson junction by Duncan H J O'Dell

Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q

From playlist Open Quantum Systems

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Hartree-Fock dynamics for weakly interacting fermions - Benjamin Schlein - Benjamin Schlein

Hartree-Fock dynamics for weakly interacting fermions - Benjamin Schlein - Benjamin Schlein Benjamin Schlein University of Bonn February 19, 2014 According to first principle quantum mechanics, the evolution of N fermions (particles with antisymmetric wave function) is governed by the man

From playlist Mathematics

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Physics 37 Gauss's Law (11 of 16) Electric Flux

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the electric flux.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

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Noether's Theorem and The Symmetries of Reality

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE To learn more about Brilliant, you can go to https://brilliant.org/spacetime/ Conservation laws are among the most important tools in physics. They feel as fundament

From playlist Space Time!

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Light and Beyond (Lecture 1) by Rajaram Nityananda

SUMMER COURSES : LIGHT AND BEYOND SPEAKER : Rajaram Nityananda (Azim Premji University) DATE : 31 May 2020 to 28 June 2020 VENUE : Online Lectures and Tutorials This short and intensive advanced undergraduate level course starts with the understanding of light as an electromagnetic wave

From playlist Summer Course 2020: Light And Beyond

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Sophie Germain - Mathematics for the Modern Age #SoME2

Sophie Germain (1776-1831) was a French mathematician who made huge contributions to physics with her foundational work on elasticity theory, revolutionised mathematics with her work on calculus and… gave Schrödinger the tools he needed to formulate his wave equation for quantum mechanics!

From playlist Summer of Math Exposition 2 videos

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Why was this visual proof missed for 400 years? (Fermat's two square theorem)

Today's video is about a new really wonderfully simple and visual proof of Fermat's famous two square theorem: An odd prime can be written as the sum of two integer squares iff it is of the form 4k+1. This proof is a visual incarnation of Zagier's (in)famous one-sentence proof. 0:00 Intr

From playlist Recent videos

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Noether's theorems and their growing physical relevance by Joseph Samuel

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

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Quantum Field Theory 5c - Classical Electrodynamics III

We end with a derivation of the classical interaction Hamiltonian for a charged particle moving in an electromagnetic field. There is a lot of "turn the crank" math in this installment, but the final result will be key to our continued development of quantum field theory.

From playlist Quantum Field Theory

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Quantum Mechanics and the Principle of Least Time

In this short video I would like to tell you about the pioneering work of Pierre de Fermat, who discovered that light is the laziest object in the universe, always preferring to take the path that minimises the amount of time spent travelling between two points. But perhaps what is even mo

From playlist General Physics

Related pages

Variational methods in general relativity | Schwarzschild metric | Invariant (physics) | Action (physics) | Free motion equation | Hamilton's principle | Static spacetime | Curve | Four-velocity | Closed system | Christoffel symbols | Optimal control | Isotropic line | Tensor | Lagrangian mechanics | Fermat's principle | Four-momentum | Hamiltonian field theory | Stationary spacetime | Metric tensor | Einstein field equations | Interval (mathematics) | Covariance and contravariance of vectors | Line element | Space | Pseudo-Riemannian manifold | Four-dimensional space