• DOI:10.1063/1.532771
• Corpus ID: 120576387

Spin and wave function as attributes of ideal fluid

@article{Rylov1999SpinAW,
  title={Spin and wave function as attributes of ideal fluid},
  author={Yuri A. Rylov},
  journal={Journal of Mathematical Physics},
  year={1999},
  volume={40},
  pages={256-278},
  url={https://api.semanticscholar.org/CorpusID:120576387}
}

• Y. Rylov
• Published 1999
• Physics
• Journal of Mathematical Physics

An ideal fluid whose internal energy depends on density, density gradient, and entropy is considered. Dynamic equations are integrated, and a description in terms of hydrodynamic (Clebsch) potentials occurs. All essential information on the fluid flow (including initial and boundary conditions) appears to be carried by the dynamic equations for hydrodynamic potentials. Information on initial values of the fluid flow is carried by arbitrary integration functions. Initial and boundary conditions… 

An ideal fluid whose internal energy depends on density, density gradient, and entropy is considered. Dynamic equations are integrated, and a description in terms of hydrodynamic (Clebsch) potentials occurs. All essential information on the fluid flow (including initial and boundary conditions) appears to be carried by the dynamic equations for hydrodynamic potentials. Information on initial values of the fluid flow is carried by arbitrary integration functions. Initial and boundary conditions for potentials contain only nonessential information concerning the fluid particle labeling. It is shown that the description in terms of n-component complex wave function is a kind of such description in terms of hydrodynamic potentials. Spin determined by the irreducible number nm of the wave function components appears to be an attribute of the fluid flow. Classification of fluid flows by the spin appears to be connected with invariant subspaces of the relabeling group.