Lagrangian formulation is what you obtain when you consider systems that are defined on "curved spaces" (in a sense that I won't make precise, but think e.g. about pendulum constrained to a circle). …

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 proportional to the number of …

In Lagrangian mechanics, the function L = T−V L = T − V, called Lagrangian, is introduced, where T T is the kinetic energy and V V the potential one. I was wondering: is there any reason for this quantity to …

Mar 21, 2021 · The third definition is different. Of course it is also related in the sense that in Lagrangian formulations of dynamics or variational problems, Lagrange multiplier methods often appear. But this …

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 Mechanics …

Jan 13, 2022 · Summarizing, Lagrangian, Newtonian and Hamiltonian mechanics are different mathematical frameworks whose goal is to describe the same physics. The postulates of classical …

Sep 22, 2023 · 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 logic is correct: as long …

by a total derivative. My trouble is that these two Lagrangian densities lead to different conjugate momenta and hence when setting equal time commutation relations, I am getting different results (a …

Oct 12, 2020 · Is it possible to explain the form of Lagrangian L = T − V L = T V and action principle in the following way? The force that acts on a mass particle is due to the potential V(x) V (x). This force …

Please try to provide a sufficient answer, and when it is just „because it satisfies Newton‘s equations“, please try to give an example or explain it. If you know it, I would be very happy if you c...