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- What is the difference between Newtonian and Lagrangian mechanics in a . . .
78 What is Lagrangian mechanics, and what's the difference compared to Newtonian mechanics? I'm a mathematician computer scientist, not a physicist, so I'm kind of looking for something like the explanation of the Lagrangian formulation of mechanics you'd give to someone who just finished a semester of college physics
- 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 is equivalent to the EL equations
- 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 phase changes per unit of time The Hamiltonian runs over the time axis (the vertical axis in the drawing) while the Lagrangian runs over the trajectory of the moving particle, the t’-axis
- lagrangian formalism - Whats the point of Hamiltonian mechanics . . .
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 physics, from QFT to GR
- The origin of the Lagrangian - Physics Stack Exchange
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
- Momentum in Lagrangian mechanics - Physics Stack Exchange
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 where this comes from
- Why the Principle of Least Action? - Physics Stack Exchange
And the Lagrangian is the answer to that, although it's not a 100% satisfactory one because the path that is taken need not strictly speaking be the truly least action path We integrate it, it gives us a kind of "cost", so to speak, which is then (partially) optimized and that gives us the "right" path of motion that an object "really" takes
- How does the Lagrangian work with a magnetic field?
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 as magnetic field is uniform, the particle will experience no force
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