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Results tagged with classical-mechanics
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user 136463
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].
2
votes
What are Hamilton's equations with respect to a nonstandard symplectic form?
A Hamiltonian $H:M\rightarrow \mathbb{R}$ defines a vector field $X_H$ through the equation
\begin{equation}
\omega(X_H,\cdot)=dH.
\end{equation}
For $\omega=F(q,p)dq\wedge dp$ and substituting the …
- 4,733
4
votes
Constants of motion from a Lagrangian
In your case, the answer is yes, it's that simple. The reason is that all the constants of motion you're dealing with are related to some translational symmetry. Energy corresponds to translations in …
- 4,733