Hamiltonian mechanics

Hamilton's optico-mechanical analogy

Hamilton's optico-mechanical analogy is a concept of classical physics enunciated by William Rowan Hamilton. It may be viewed as linking Huygens' principle of optics with Jacobi's Principle of mechanics. According to Cornelius Lanczos, the analogy has been important in the development of ideas in quantum physics. According to Erwin Schrödinger, for micromechanical motions, the Hamiltonian analogy of mechanics to optics is inadequate to treat diffraction, which requires it to be extended to a vibratory wave equation in configuration space. (Wikipedia).

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A09 The Hamiltonian

Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.

From playlist Physics ONE

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Derivation of Hamilton's Equations of Motion | Classical Mechanics

Hamilton’s equations of motion describe how a physical system will evolve over time if you know about the Hamiltonian of this system. 00:00 Introduction 00:12 Prerequisites 01:01 Derivation 01:47 Comparing Coefficients 02:27 Example If you want to read more about the Lagrangian form

From playlist Classical Mechanics

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The spherical pendulum in the Hamiltonian formalism

We continue with the spherical pendulum animation and discuss the difference between the major analytical mechanics approaches. Who won? You decide.

From playlist Programming

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Fermi's Golden Rule Part 3 - Perturbing Hamiltonian (Light)

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Optoelectronic and Photonic Devices

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Dealing with Schrodinger's Equation - The Hamiltonian

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Schrodinger's

From playlist Quantum Mechanics

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Giulia Cusin: Cosmological effects in waveform modeling

CIRM VIRTUAL EVENT Recorded during the meeting "Theory of Gravitation and Variation in Cosmology" the April 15, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematic

From playlist Virtual Conference

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Hamiltonian Mechanics in 10 Minutes

In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.

From playlist Summer of Math Exposition 2 videos

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Hamiltonian Simulation and Universal Quantum (...) - T. Cubitt - Main Conference - CEB T3 2017

Toby Cubitt (UCL) / 14.12.2017 Title: Hamiltonian Simulation and Universal Quantum Hamiltonians Abstract: Physical (or "analogue") Hamiltonian simulation involves engineering a Hamiltonian of interest in the laboratory, and studying its properties experimentally (somewhat analogous to b

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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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

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Bernhard Maschke : Hamiltonian control systems for open Irreversible Thermodynamic systems

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

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John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj

John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Non-local Material Models and Concurrent Multiscale Methods. (3 - 7.04.2017) The

From playlist HIM Lectures: Trimester Program "Multiscale Problems"

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How To Derive The Hamiltonian From The Lagrangian Like a Normie

I made a video on how to convert from lagrangian to hamiltonian: https://www.youtube.com/watch?v=0H9T2_dMfW8&t=2s Now I actually derive the relationship! Interested in tutoring? Check out the following link: dotsontutoring.simplybook.me or email dotsontutoring.gmail.com

From playlist Math/Derivation Videos

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Physics - E&M: Maxwell's Equations (1 of 30) What are the Maxwell equations? Introduction

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduction to Maxwell's equations.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

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005 Further TDSE and the Position Representation

In this series of physics lectures, Professor J.J. Binney explains how probabilities are obtained from quantum amplitudes, why they give rise to quantum interference, the concept of a complete set of amplitudes and how this defines a "quantum state". Notes and problem sets here http://www

From playlist James Binney - 2nd Year Quantum Mechanics

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Light and Beyond (Lecture 3) 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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A Non-Commutative Analog of the Metric for which the... Gradient Flow for the Entropy - Eric Carlen

Eric Carlen Rutgers, The State University of New Jersey November 13, 2012 The Fermionic Fokker-Planck equation is a quantum-mechanical analog of the classical Fokker-Planck equation with which it has much in common, such as the same optimal hypercontractivity properties. In this paper we

From playlist Mathematics

Related pages

Fermat's principle | Vladimir Arnold | Cornelius Lanczos | Christiaan Huygens | Pierre de Fermat | William Rowan Hamilton | Isaac Newton