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 …

66 The Hamiltonian H and Lagrangian L which are rather abstract constructions in classical mechanics get a very simple interpretation in relativistic quantum mechanics. Both are …

Aug 20, 2020 · Also can Lagrangian be used to solve any of the problems out there in mechanics easily? very much so. Go to the problems section of your textbook on 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 …

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 …

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 …

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.g. like neutron). Then your …

Oct 12, 2020 · Lagrangian mechanics uses the energy equation (1) to find the trajectory with the property that the rate of change of kinetic energy matches the rate of change of potential energy.

This is, thus, the general form for Lagrangian densities that are translation-invariant and isotropic. A Lagrangian density reduces to a function of a set of invariant combinations. The differential …

Nov 9, 2024 · The Lagrangian formulation can get complicated with non-conservative systems and more generally forces that are not obtained by the gradient of a potential - the generalized …