TL;DR
This paper introduces a complex quantum hydrodynamics framework derived from the Schrödinger equation, incorporating effects like quantum teleportation, and explores its implications for quantum gases and related phenomena.
Contribution
It presents a novel complex quantum Navier-Stokes equation with imaginary viscosity and links quantum hydrodynamics to teleportation via a non-relativistic Majorana equation.
Findings
Describes self-diffusion in quantum gases using complex hydrodynamics
Introduces quantum Marangoni effect within this framework
Discusses quantum teleportation in time through a non-relativistic approach
Abstract
It is shown how the Schrodinger equation can be transformed to a complex quantum Navier-Stokes equation with imaginary dilatational viscosity. The self-diffusion in quantum gases is described by this complex quantum hydrodynamics and the quantum Marangoni effect is introduced. The density matrix operator and Wigner function equations, corresponding to quantum hydrodynamics, are described. Finally, the quantum teleportation in time is also discussed via a non-relativistic version of the Majorana equation.
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