2015/10/01 by Rabin Banerjee, Banerjee, Rabin, Arpan Krishna Mitra +1
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Euler's formula #Exact solutions in general relativity #FOS: Physical sciences #Hamiltonian (control theory) #High Energy Physics - Theory (hep-th) #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Noether's theorem #Physics #Pure mathematics #Quantum mechanics #Quantum, superfluid, helium dynamics #Stress–energy tensor #Symplectic geometry #Tensor (intrinsic definition) #Type (biology) #hep-th
paper · pdf · doi:10.48550/arxiv.1510.00288
16 pages, no figures
openalex publication_date 2015/10/01 · arxiv created 2016/04/22 · arxiv updated 2016/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a new approach, based on Noether's energy-momentum tensor, to construct the lagrangian for nonrelativistic nonisentropic Euler fluids. An advantage of this approach is that it naturally provides a generalised Clebsh decomposition for the fluid velocity. This is used to develop a hamiltonian formulation inolving a noncanonical algebra. This algebra is very simply obtained from the symplectic structure. It is used to show that the components of the Noether's energy-momentum tensor satisfy certain Schwinger-type relations. These relations, which are reminiscent of corresponding relations in relativistic field theory, are new.