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Results tagged with classical-mechanics
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user 251538
Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].
1
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Help with geometric view of conjugate momenta and Legendre transformation
Equation (3) is the correct one.
The first thing one needs to remember in Lagrangian mechanics is that $L$ is a function of position and velocities treated as independent variables. So when we say $L$ …
- 395
0
votes
Accepted
Deducing equation of motion for a free particle using the form of the Lagrangian
The point is, the function you mentioned is non differentiable at a single point which we can disregard by just restricting our domain of interest to be the complement of that point.
The lagrangian in …
- 395
1
vote
Accepted
How to show that the Hamiltonian $H$ is invariant under flow generated by $F$?
It follows directly from the poisson bracket relation $\{{F,H}\}=-\{{H,F}\}=0$
This says that $F$ is invariant under the flow of $H$ and $H$ is invariant under the flow of $F$. If you want an explicit …
- 395