Inverse kinetic theory for quantum hydrodynamic equations

  title={Inverse kinetic theory for quantum hydrodynamic equations},
  author={Massimo Tessarotto and Marco Ellero and Piero Nicolini},
  journal={Physical Review A},
We propose a solution for the inverse kinetic theory for quantum hydrodynamic equations associated to the non-relativistic Schr\"{o}dinger equation. It is shown that an inverse kinetic equation of the form of the Vlasov equation can be non-uniquely determined under suitable mathematical prescriptions. 
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