Recent content by pavel1

From my point of view, "first integral" or "integral of motion" is more specific than "constant of motion". You can find the mathematical definiton of "first integral" in every textbook on classical Hamiltonian mechanics: "Any function depending only on dynamical states of the system which is...

Hi guys ! I am sure that these statements hold: 1) Darboux theorem - locally (if \mathrm{d}H\neq 0 ), it is always possible to find 2N independent functions H_2, H_3, \ldots, H_N , ( H_1 = H ) and G_1, G_2, \ldots, G_N such that (H_1,\ldots,H_N,G_1,\ldots,G_N) constitute the canonical...