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9 votes
4 answers
2k views

Time evolution operator in classical mechanics?

Hamilton's equation can be written in terms of Poisson brackets, as follows: $$\dot{q} = \{q,H\}$$ $$\dot{p} = \{p,H\}$$ where $H$ is the Hamiltonian of the system. Now, wikipedia says that the ...
MathMath's user avatar
  • 1,131
6 votes
3 answers
2k views

Paths in phase space can never intersect, but why can't they merge?

Page 272 of No-Nonsense Classical Mechanics sketches why paths in phase space can never intersect: Problem: It seems to me this reasoning only implies that paths can never "strictly" ...
George's user avatar
  • 337