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Inverse kinetic theory for quantum hydrodynamic equations

Massimo Tessarotto·Marco Ellero·Piero Nicolini
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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.

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Massimo Tessarotto, Marco Ellero, Piero Nicolini. 2006-06-10. Inverse kinetic theory for quantum hydrodynamic equations. https://doi.org/10.1103/physreva.75.012105

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