Hamiltonian mechanics | Dynamical systems
Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena. Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics. (Wikipedia).
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
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
Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations. To donate: http://www.ilectureonline.com/donate
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
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
Joan ELIAS MIRÓ - Precise calculations with the Renormalized Hamiltonian Truncation approach
https://indico.math.cnrs.fr/event/2435/
From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”
Physics 69 Hamiltonian Mechanics (2 of 18) The Oscillator - Example 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the equations of a simple oscillator of a mass attached to a spring using the Hamiltonian equations. Next video in this series can be seen at: https://youtu.be/ziYJ6jQG8q8
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
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
Physics 69 Hamiltonian Mechanics (3 of 18) Particle with Gravity - Example 2
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 In this video I will ind the equations of a falling object using the Hamiltonian equations. Next video in this series can be seen at
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
Let's Learn Physics: Chaos in Phase Space
We have seen how Hamiltonian mechanics can be used to solve for the dynamics of physical systems. It turns out that there is quite a bit of hidden power in this formalism in that we can prove some fairly general statements about physics as a whole. We will see one of these results, known a
From playlist Let's Learn (Classical) Physics: ZAP Physics Livestreams
How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Unmasking PT Symmetry by Carl M. Bender
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Lecture 8 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 8 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded March 3, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of modern
From playlist Course | Modern Physics: Quantum Mechanics
Lagrangian and Hamiltonian Mechanics in Under 20 Minutes: Physics Mini Lesson
There's a lot more to physics than F = ma! In this physics mini lesson, I'll introduce you to the Lagrangian and Hamiltonian formulations of mechanics. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up When you take your first physics class, you learn all ab
From playlist Short Videos
Quantum Optomechanics: A Selective Introduction by Aashish Clerk
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
Before You Start On Quantum Mechanics, Learn This
Quantum mechanics is mysterious---but not as mysterious as it has to be. Most quantum equations have close parallels in classical mechanics, where quantum commutators are replaced by Poisson brackets. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up You can
From playlist Hamiltonian Mechanics Sequence
Lecture 9 | Modern Physics: Classical Mechanics (Stanford)
Lecture 9 of Leonard Susskind's Modern Physics course concentrating on Classical Mechanics. Recorded December 20, 2007 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of mo
From playlist Course | Modern Physics: Classical Mechanics
Andreas LÄUCHLI - Numerical Hamiltonian truncation approach to the \phi^4 theory in 1+1d and beyond
https://indico.math.cnrs.fr/event/2435/
From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”