# Inverse kinetic theory for quantum hydrodynamic equations

@article{Tessarotto2007InverseKT, title={Inverse kinetic theory for quantum hydrodynamic equations}, author={Massimo Tessarotto and Marco Ellero and Piero Nicolini}, journal={Physical Review A}, year={2007}, volume={75}, pages={012105} }

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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