2012/08/31 by Maxim Eingorn, Maxim V. Eingorn, V. D. Rusov +1
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Euler equations #Euler's formula #Imperfect #Mathematical analysis #Mathematics #Perfect fluid #Physics #Pulsars and Gravitational Waves Research #Quantum #Quantum hydrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectrum (functional analysis) #quant-ph
paper · pdf · doi:10.1007/s10701-014-9782-4
published as Foundations of Physics, Volume 44, Issue 2, pp 183-191 (2014) · 10 pages
openalex publication_date 2014/02/01 · arxiv created 2014/03/16 · arxiv updated 2014/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.