All Questions
2 questions
5
votes
1
answer
354
views
Are Hamilton's equations reversible?
Say I define a time dependent vector field $\Psi(t):\mathbb{R}^d\to \mathbb{R}^d$ as reversible (also here) if, for $f(x,y)=(x,-y)$, we have:
$$ f\circ \Psi \circ f =\Psi(-t)=\Psi^{-1}(t).$$
Just to ...
- 51
4
votes
1
answer
1k
views
Reversibility of Hamiltonian dynamics
I'm trying to understand a very basic property of Hamiltonian dynamics. I don't have a physics background but I do know some mathematics. I want to understand why negating the momentum is equivalent ...
- 153