35 citations · 82 across the 11 of their papers we have counts for
12 papers
Amplitude-dependent quantum hydrodynamics from a \(\coth\)-Madelung ansatz
C. Dedes
We investigate a nonlinear extension of the Madelung transformation based on a hyperbolic phase--amplitude coupling of the form \[ Ψ= R e^{\imathθ\coth R}, \] where \(R\) is a real…
Born's rule deviations from temporal non-local effects
C. Dedes
We investigate deviations from Born's rule in quantum systems where the quantum-equilibrium hypothesis, , fails. Using the quantum-hydrodynamic framework, we show that…
Non-separable wave evolution equations in quantum kinetics
C Dedes
A non-separable wave-like integro-differential equation for the time evolution of the Wigner distribution function in phase space is educed from the corresponding separable kinetic…
Born's rule and permutation invariance
C Dedes
It is shown that the probability density satisfies a hyperbolic equation of motion with the unique characteristic that in its many-particle form it contains derivatives acting at s…
Lighthill equation for quantum liquids
C. Dedes
A quantum version of the Lighthill equation that originated in the field of theoretical aeroacoustics is derived for the probability density of a superfluid starting from the time-…
Induced osmotic vorticity in the quantum hydrodynamical picture
C Dedes
A nonlinear wave mechanical equation is proposed by inserting an imaginary quantum potential into the Schrödinger equation. An explicit expression for its solution is given under c…