Hydrodynamic Model of Quantum Mechanics

Abstract

An analysis of typical microphysical systems is presented in the hydrodynamic formulation of quantum mechanics. The emphasis is on the physical peculiarities appearing in the hydrodynamic picture, and on the mathematical treatment of the nonlinear quantum-hydrodynamic field equations. Further, quantum-hydro-dynamic uncertainty relations are derived, which relate the minimum uncertainty products to the interior quantum stresses.