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). …

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 …

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 …

0 The Lagrangian isn't defined as T − V T V, it just turns out that way in a lot of situations. The electromagnetic Lagrangian, for example, is not T − V T V. The Shankar quantum mechanics book …

Jan 13, 2022 · The Lagrangian for the system is whatever happens to give the right equations of motion when you apply the Euler-Lagrange equations, and for systems with conservative forces that is T − V …

The Lagrangian is one implementation of an underlying geometry, called a "symplectic" geometry that connects kinematic variables with their conjugate dynamic variables, in the description of dynamics …

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 …

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 …

Mar 21, 2021 · The Lagrangian develops a very intuitive meaning within the action principle (aka Hamilton's principle). Without further, accompanying interpretation, of which there are many (e.g. …

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 …