Lagrangian methods. I have no idea where this comes from.
Lagrangian methods. . Sep 22, 2023 · 5 As was said in the commentary by @knzhou, what you have written is the Lagrangian for a particle with magnetic moment and no charge (e. Then your logic is correct: as long as magnetic field is uniform, the particle will experience no force. Aug 20, 2020 · Also can Lagrangian be used to solve any of the problems out there in mechanics easily? very much so. g. Dec 6, 2013 · The Lagrangian, Hamiltonian formalism (with the min action principle ) represent a minimal mathematical framework that can explain a lot of experimental data, from all domains of physics, from QFT to GR. We integrate it, it gives us a kind of "cost", so to speak, which is then (partially) optimized and that gives us the "right" path of motion that an object "really" takes. like neutron). Jan 25, 2022 · 2 Given a Lagrangian, how does one understand the dynamics by just observing the interaction terms? specifically, can I determine all the possible or at least some of the possible scattering processes, just by observing the interaction terms in the lagrangian?. The point was, I wanted to have a physical interpretation of the Lagrangian, and leave the action and the principle as abstract constructions done for who knows what reason, probably because the principle is equivalent to the EL equations. Apr 11, 2021 · In the context of translation symmetry for lagrangian mechanics i was given this statement: For a mechanical system $\\frac{∂L}{∂\\dot{q}_i}=p_i$ is the momentum. I have no idea where this comes from. Go to the problems section of your textbook on the Lagrangian Mechanics chapter, find a problem near the back of the section, and try to solve it using a Newtonian approach. And the Lagrangian is the answer to that, although it's not a 100% satisfactory one because the path that is taken need not strictly speaking be the truly least action path. It will quickly become clear just how useful the Lagrangian approach is. 78 What is Lagrangian mechanics, and what's the difference compared to Newtonian mechanics? I'm a mathematician/computer scientist, not a physicist, so I'm kind of looking for something like the explanation of the Lagrangian formulation of mechanics you'd give to someone who just finished a semester of college physics. Both are proportional to the number of phase changes per unit of time. 66 The Hamiltonian H and Lagrangian L which are rather abstract constructions in classical mechanics get a very simple interpretation in relativistic quantum mechanics. May 6, 2021 · Often, we use a Lorentz-invariant lagrangian as the starting point for specifying a model, and then we deduce the rest of the model's properties (like the spins of its particles) from that. jeqkgn ebeyts cmu dwsj vkbhk rhgu umf bwodanf nybr wlwga