2 papers
math.AP2026
Derivation and local well-posedness of a relativistic quantum hydrodynamic system on the Heisenberg group
Ben Duan, Yutian Li, Rongrong Yan +1
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 transformati…
math.AP2026
A relativistic quantum Euler-Poisson system derived from the Klein-Gordon-Poisson equation: hyperbolic-elliptic structure
Ben Duan, Jun Li, Bin Guo +1
In the Klein-Gordon equation, quantum and relativistic parameters are strongly coupled, which poses significant analytical challenges in the derivation and analysis of related clas…