What is the difference between Newtonian and Lagrangian …
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 …
newtonian mechanics - Motivation for form $L = T - V$ of …
Jan 13, 2022 · This question (in Lagrangian mechanics) might be silly, but why is the Lagrangian L L defined as: L = T − V L = T − V? I understand that the total mechanical energy of an …
Physical meaning of the Lagrangian function [duplicate]
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 …
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 …
Lagrangian - does it rely on Newtonian mechanics?
Nov 9, 2024 · The Lagrangian formulation can get complicated with non-conservative systems and more generally forces that are not obtained by the gradient of a potential - the generalized …
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 …
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 …
Derivation of Maxwell's equations from field tensor lagrangian
I know I should end up with $\partial_\mu F^ {\mu\nu} = 0$, but I don't quite see why. Since $\mu$ and $\nu$ are dummy indices, I should be able to change them: how do the indices in the …
Derivation of gravitational dynamics using Lagrangian?
Jun 24, 2022 · The first Lagrangian is the Lagrangian for the motion of a point particle in a Newtonian gravitational potential (or field), whereas the second is the Lagrangian for the …
How to understand the Dirac Lagrangian? - Physics Stack Exchange
Feb 24, 2018 · You can always justify the form of the Lagrangian, for example having ΨΨ¯ means that you have local and global phase invariance, and that the resulting potential ∝ Ψ2 has a …