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Derivation and local well-posedness of a relativistic quantum hydrodynamic system on the Heisenberg group

Duan, Ben et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
We derive and analyze a relativistic quantum hydrodynamic (RQHD) system on the Heisenberg group. Starting from the Klein--Gordon--Poisson system, we apply the Madelung transformation to obtain a fluid-type model in which the relativistic and quantum parameters are explicitly separated. The Heisenber
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