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 …

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 …

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). …

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 …

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 …

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 …

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 …

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 …

Aug 20, 2020 · Also can Lagrangian be used to solve any of the problems out there in mechanics easily? very much so. Go to the problems section of your textbook on the Lagrangian Mechanics …

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 lagrangian …