… Any rotational motion of a superfluid is sustained only by quantized vortices. The appearance
of quantized vortices distinguishes the hydrodynamics of quantum condensed fluids from …

… We demonstrate this general idea by the ground-up construction of a quantum vorticity
hydrodynamics in 2 + 1 dimensions, offering links to quantum spintronics [3], particle-vortex …

… a magneto quantum hydrodynamics (MQHD) method for the study of the quantum evolution
of a … The fundamental equations of microscopic quantum hydrodynamics (the momentum …

… The role of stochastic vortices in the phase-transition … Attention is focused on the relation
between hydrodynamic … pulses interacting with the vortices they generated Gther Dynamical …

… Vorticity is defined by ω = ∇ × u; since for quantum fluids vorticity is assumed to be a singular
distribution of vorticity on nodal lines, we can simply take (after appropriate re-scaling) ω = …

… , which we can interpret as the quantum version of the vorticity (4). This suggests a conservation
law with the boundary fluxes corresponding to the vorticity flow. Indeed, according to the …

… (ii) One can perform quantization starting with the superfluid hydrodynamics with quantized
vortices described by the Lagrangian in Eq.(15) by expressing it in terms of the non-…

… We consider a new geometric approach to Madelung’s quantum hydrodynamics (QHD) …
hydrodynamic vortices in Schrödinger quantum mechanics. To this purpose, we consider a …

… It ensures that the vorticity of a quantum vortex concentrates around the core region in the …
vortices in classical fluids [33]. Hence when the mean separation between quantum vortices is …

… The second flow is the solution of the vorticity equation stemming from the Navier–Stokes …
the vortices are robust long-lived objects which tremble in time. If we adopt that the vortices, …