Poisson brackets and continuous dynamics of the vortex lattice in rotating He II
Volovik G.E., Dotsenko V.S. Jr.
We determined the Poisson brackets for the macroscopic variables, which describe the states of He II in a rotating vessel. The hydrodynamics equations, which include the equations of the elasticity theory for the lattice of vortices, were obtained from the energy functional with the help of these brackets. The vibrational modes, including the Tkachenko waves, were also determined.