What is the physical meaning of the action in Lagrangian mechanics?
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 …
Why the Principle of Least Action? - Physics Stack Exchange
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. We integrate it, it gives us a kind …
What is the difference between Newtonian and Lagrangian mechanics …
Lagrangian mechanics are better when there are lots of constraints. The more the constraints, the simpler the Lagrangian equations, but the more complex the Newtonian become. Lagrangian …
Physical meaning of the Lagrangian function [duplicate]
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 …
Deriving Lagrangian density for electromagnetic field
A professor, named Bahman Zohuri, of the Department of Electrical and Computer Engineering, University of New Mexico published at 30 January 2019 a paper in pdf format titled "Deriving the …
Derivation of Maxwell's equations using Lagrangian formalism
Mar 4, 2024 · The use of the Lagrangian formalism is not restricted to (point) mechanics, but all fundamental interactions (electroweak, strong, gravitation) are defined by the action integral of a …
The origin of the Lagrangian - Physics Stack Exchange
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 …
Momentum in Lagrangian mechanics - Physics Stack Exchange
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 …
On Landaus&Lifshitz's derivation of the lagrangian of a free particle ...
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 …
Connection between different kinds of "Lagrangian"
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 …