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 …
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.
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 …
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 …
What makes a Lagrangian a Lagrangian? - Physics Stack Exchange
The Lagrangian is one implementation of an underlying geometry, called a "symplectic" geometry that connects kinematic variables with their conjugate dynamic variables, in the description of dynamics …
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 …
How is a Hamiltonian constructed from a Lagrangian with a Legendre ...
You can use Lagrangian and Hamiltonian formalism not only for physics but also for microeconomics, of course. As it has been already said here, the question is to treat the case as a functional (not as a …
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...
lagrangian formalism - The proof of conservation of momentum in ...
Jul 31, 2024 · In reading the first chapter of Mechanics by Landau and Lifshitz, there is one point on which I consistently get stuck. This regards the proof in $\\S 7$ that space homogeneity implies …