Lagrangian formulation of classical electromagnetism. It is about given forces and reactions of ideal constraints. Dec 14, 2014 · Lagrangian formalism is not about external or internal forces. 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. Then your logic is correct: as long as magnetic field is uniform, the particle will experience no force. 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. 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?. 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. 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. I have no idea where this comes from. 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. Given forces can be potential forces or not. . 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). g. 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. 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. Aug 20, 2020 · Also can Lagrangian be used to solve any of the problems out there in mechanics easily? very much so. 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. 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.
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