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 …

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 …

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 …

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 …

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 …

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 …

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 …

Oct 12, 2015 · In sense of classical mechanics+special relativity what is lagrangian of a photon? Lagrangian of a relativistic massive particle is as follows: $$ L_{massive}= -mc\\sqrt{c^2-v^2} …

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 …

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 …