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 …

May 19, 2024 · I understand this sentence in the following way. We want the (coordinate representative) of the Lagrangian with respect to the primed coordinates to be equal to the (coordinate …

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 …

Jul 31, 2024 · In reading the first chapter of Mechanics by Landau and Lifshitz, there is one point on which I consistently get stuck. This regards the proof in $\\S 7$ that space homogeneity implies …

Jun 4, 2024 · lagrangian-formalism symmetry conservation-laws field-theory noethers-theorem See similar questions with these tags.

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. …

Is it possible to work with the real Lagrangian density and somehow get the correct commutation relations? I would have expected two Lagrangians differing by total derivative terms to give identical …