Inverse kinetic theory for quantum hydrodynamic equations
arXiv:quant-ph/0606091 · doi:10.1103/PhysRevA.75.012105
Abstract
We propose a solution for the inverse kinetic theory for quantum hydrodynamic equations associated to the non-relativistic Schrödinger 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.