Question

Adiabatic damping violates the conditions required for this theorem to hold, causing the Courant-Snyder invariant to decrease. In particle accelerators, this theorem implies that focusing or defocusing lenses cannot change the beam emittance. For a vector field, X, defined on a symplectic manifold, this theorem says that the Lie derivative along X of the symplectic (-5[1])form is zero, (15[1])or, equivalently, that symplectomorphisms preserve the symplectic volume. If the microstates are uniformly distributed (15[1])at t (-5[1])= 0, this theorem implies that the system obeys the (*) ergodic hypothesis. (10[1])This theorem can be stated as “for a density, (10[1])rho, the (-5[1])time derivative of rho equals (10[1]-5[1])the negative of the Poisson bracket of rho and the Hamiltonian.” For 10 points, what theorem states that the distribution function is constant along all trajectories in phase space? ■END■ (10[1])

ANSWER: Liouville's theorem
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Kevin Wangmeet the new weird, same as the old weirdnats is supposed to mean you all have gone soft54-5
Daniel MaOlmo (Bonus) BagelryWatching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again5715
Noah SheidlowerColumbia BWatching Arthur Delot-Vilain at Chicago Open Made Me Like French People Again7115
Halle Friedmanmeet the new weird, same as the old weirdOlmo (Bonus) Bagelry73-5
Michal GerasimiukUG Championship Players (and Mazin)Olmo (Bonus) Bagelry8510
Anson BernsWatching Arthur Delot-Vilain at Chicago Open Made Me Like French People AgainUG Championship Players (and Mazin)9410
Kevin Wangmeet the new weird, same as the old weirdColumbia B96-5
Adam Silvermannats is supposed to mean you all have gone softColumbia B10110
Michal GerasimiukUG Championship Players (and Mazin)nats is supposed to mean you all have gone soft101-5
Adam Silvermannats is supposed to mean you all have gone softmeet the new weird, same as the old weird13110
Jordan DavidsenOlmo (Bonus) Bagelrymeet the new weird, same as the old weird13610
John John GrogerColumbia Bmeet the new weird, same as the old weird14310
Victor Pavaonats is supposed to mean you all have gone softUG Championship Players (and Mazin)1440