Emergent quantum Euler equation and Bose-Einstein condensates
arXiv:1208.5372 · doi:10.1007/s10701-014-9782-4
Abstract
In this paper, proceeding from the recently developed way of deriving the quantum-mechanical equations from the classical ones, the complete system of hydrodynamical equations, including the quantum Euler equation, is derived for a perfect fluid and an imperfect fluid with pairwise interaction between the particles. For the Bose-Einstein condensate of the latter one the Bogolyubov spectrum of elementary excitations is easily reproduced in the acoustic approximation.
10 pages