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).
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
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
The spherical pendulum in the Hamiltonian formalism
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From playlist Optoelectronic and Photonic Devices
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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From playlist Virtual Conference
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
Hamiltonian Simulation and Universal Quantum (...) - T. Cubitt - Main Conference - CEB T3 2017
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From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
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From playlist Geometry
Bernhard Maschke : Hamiltonian control systems for open Irreversible Thermodynamic systems
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John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj
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From playlist HIM Lectures: Trimester Program "Multiscale Problems"
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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From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3
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From playlist Mathematics
Joan ELIAS MIRÓ - Precise calculations with the Renormalized Hamiltonian Truncation approach
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From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”