- published: 15 May 2009
- views: 58229
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. Next video in this series can be seen at: https://youtu.be/-VXDbFELld8
A different way to understand classical Hamiltonian mechanics in terms of determinism and reversibility. See all videos in the series: Playlist - https://www.youtube.com/playlist?list=PLmNMSMaNjnDd9Qj4VxNL8dijiWZCAzanl 1. Math - https://www.youtube.com/watch?v=FGQddvjP19w 2. Measurements - https://www.youtube.com/watch?v=UTSJiYV4rmw 3. Thermodynamics - https://www.youtube.com/watch?v=hb4nDn0CR7Q 4. Information Theory - https://www.youtube.com/watch?v=6vPIVJ-LtOI 5. State Mapping - https://www.youtube.com/watch?v=us0QK9xTN3o 6. Multiple d.o.f - https://www.youtube.com/watch?v=xJIglyPvCT0 7. Multiple d.o.f reprise - https://www.youtube.com/watch?v=wQBiUrQ3Va0
A brief introduction to the Hamiltonian and its relationship to the Lagrangian. Please give any feedback you may have,
Jacob Linder: 26.01.2012, Classical Mechanics (TFY4345), V2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
(November 7, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he focuses on Liouville's Theorem, which he describes as one of the basis for Hamiltonian mechanics. He works to prove the reversibility of classical mechanics. This course is the beginning of a six course sequence that explores the theoretical foundations of modern physics. Topics in the series include classical mechanics, quantum mechanics, theories of relativity, electromagnetism, cosmology, and black holes. Stanford University http://www.stanford.edu/ Stanford Continuing Studies http:/continuingstudies.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford
In this lecture you will learn: Introduction to Hamiltonian dynamics. Made by: Department of Physics, IIT Madras. This video is part of the playlist "University Lectures". For further interesting topics you can look here: https://www.youtube.com/playlist?list=PLdId9dvaMGZPorXrqBHGYn788r1vjVkXl "Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics." https://en.wikipedia.org/wiki/Hamiltonian_mechanics This video was made by another YouTube user and made available for the use under the Creative Commons licence "CC-BY". Source channel: https://www.youtube.com/user/nptelhrd
More links & stuff in full description below ↓↓↓ Ricci Flow was used to finally crack the Poincaré Conjecture. It was devised by Richard Hamilton but famously employed by Grigori Perelman in his acclaimed proof. It is named after mathematician Gregorio Ricci-Curbastro. In this video it is discussed by James Isenberg from the University of Oregon (filmed here at MSRI). Poincaré Conjecture: http://youtu.be/GItmC9lxeco Extras from this interview: http://youtu.be/7eJleW0JcKg With thanks to Uwe F Mayer. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by ...
Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of Hamiltonian/symplectic group action, and the classical structure theorems of Kostant, Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian torus actions. Then I will state a structure theorem for general symplectic torus actions, and give an idea of its proof. In the second part of the talk I will introduce new symplectic invariants of completely integrable Hamiltonian systems in low dimensions, and explain how these invariants determine, up to isomorphisms, the so called "semitoric systems". Semitoric systems are Hamiltonian systems which lie somewhere between the more rigid toric systems and the usually complicated general integrable syste...
http://wd-central.com - Roger Hamilton talks about the Wealth Dynamics, the profiling system that lets you find out exactly who you are and how you should be working with others around you. The Wealth Dynamics Profiling system provides clarity on your path of least resistance to wealth creation. Through a profiling test it identifies your specific path to wealth. Wealth Dynamics is an evolution of Jungian psychometric testing into specific action & thinking dynamics that relates to entrepreneurs. It goes back to the roots of personality profiling in Chinese philosophy, which precedes Western psychometric testing by 2,500 years. Rather than just being a profiling report and list of soft recommendations, Wealth Dynamics provides an intuitive system which equips an entrepreneur with: 1. ...
"Energetic motion of end-particles in constrained dynamical systems" The chaotic dynamics of free chain is shown. The motion of the ends of chain is energetic, but, the internal part is less energetic. Thus the dynamics does not follow the simple formula of the principle of equipartition of energy. http://www.iop.org/EJ/abstract/1742-5468/2009/09/L09001 J Stat. Mech. (2009) L09001
Jacob Linder: 12.04.2012, Classical Mechanics (TFY4345), v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook
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
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is, when to use, and why do we need Lagrangian mechanics. Next video in this series can be seen at: https://youtu.be/uFnTRJ2be7I
http://wdprofiletest.com - Roger Hamilton explains how for something as complex and multi-leveled as Wealth Dynamics, it is important to be in agreement with the truths of the different levels. In this video, he explains the seven levels of truths in Wealth Dynamics. The seven Levels of Truths are: 1. There are different games 2. You create your game 3. Your game needs to flow 4. Flow attracts resources 5. Flow accelerates critical moments 6. Flow creates synchronicity 7. Flow leads to fortune To find out more, visit www.wealthdynamicscentral.com
Daniel Sutton: An effective description of Hamiltonian dynamics via the Maupertuis principle We study effective descriptions for the motion of a particle moving in a bounded periodic potential, as governed by Newton's second law. In particular we seek an effective equation, describing the motion of the particle in a rapidly oscillating potential. The study of such problems was initiated by P. L. Lions, G. Papanicolaou and S. R. S. Varadhan (1987) through the homogenisation of the Hamilton-Jacobi PDE. We propose an alternative approach, that is to use the principle of Maupertuis (1744). In this alternative formulation, which characterises dynamical trajectories as geodesics in a Riemannian manifold, we are able to describe properties of effective Hamiltonians in certain cases; specifically...