Inverse kinetic theory for quantum hydrodynamic equations

Details Inverse kinetic theory for quantum hydrodynamic equations Inverse kinetic theory for quantum hydrodynamic equations

2006-06-10

arxiv.org/abs/quant-ph/0606091v1

Phys.Rev.A75:012105,2007

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.75.012105

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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