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 …
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 reason for this quantity to …
What is the difference between Newtonian and Lagrangian mechanics …
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). …
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 …
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 · Calling ∂L ∂q˙ ∂ L ∂ q plainly "momentum" is a little awkward, especially for people first learning about Lagrangian mechanics. More accurately it is called "generalized momentum" just as q …
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 …
newtonian mechanics - Motivation for form $L = T - V$ of Lagrangian ...
Jan 13, 2022 · Summarizing, Lagrangian, Newtonian and Hamiltonian mechanics are different mathematical frameworks whose goal is to describe the same physics. The postulates of classical …
How do you determine the Lagrangian? - Physics Stack Exchange
Do you derive the Lagrangian first somehow or do you just guess the one which would satisfy the action to give equation's of motion? (because then you would need to know the equations of motion first.) …
Why is the Lagrangian defined as $L=T - V$? [duplicate]
Please try to provide a sufficient answer, and when it is just „because it satisfies Newton‘s equations“, please try to give an example or explain it. If you know it, I would be very happy if you c...