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 …
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 …
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 …
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 …
lagrangian formalism - Symmetry transformation exact meaning
Jun 4, 2024 · In whatever text/review I happen to come across (like for example From Noether’s Theorem to Bremsstrahlung: A pedagogical introduction to Large gauge transformations and …
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 …
The origin of the Lagrangian - Physics Stack Exchange
Oct 12, 2020 · Lagrangian mechanics uses the energy equation (1) to find the trajectory with the property that the rate of change of kinetic energy matches the rate of change of potential energy.
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 …
How does the Lagrangian work with a magnetic field?
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 …
lagrangian formalism - What's the point of Hamiltonian mechanics ...
Dec 6, 2013 · The Lagrangian, Hamiltonian formalism (with the min action principle ) represent a minimal mathematical framework that can explain a lot of experimental data, from all domains of …