11 citations · 60 across the 19 of their papers we have counts for
11 papers · 1 filter
Quantum Vortices in a Boundary Layer: New Results and Perspectives
Sergei V. Talalov
Here, we investigate the motion of a thin circular quantum vortex filament near the infinite planar surface. The fluid surrounding this surface moves with a non-zero velocity $\bf{…
Quantum vortices in entanglement: a novel idea for large vortex filaments
S. V. Talalov
In this study, we propose a new approach to describing certain macroscopic objects that can arise in a quantum fluid. These objects are formed by means of quantum entanglement from…
On the group-theoretical approach to energy quantization of a perturbed vortex ring: spectrum calculating in the pipe-type domain
S. V. Talalov
In this study, the problem of the energy spectrum of a quantum vortex loop moving in a thin long pipe is solved for the first time. We quantize this dynamic system using a new meth…
The quantum vortices dynamics: spatio-temporal scale hierarchy and origin of turbulence
S. V. Talalov
This study investigates the evolution and interaction of quantum vortex loops with a small but non-zero radius of core . The quantization scheme of the classical vortex sy…
Small Oscillations of a Vortex Ring: Hamiltonian Formalism and Quantization
S. V. Talalov
This article investigates small oscillations of a vortex ring with zero thickness that evolves under the Local Induction Equation (LIE). We deduce the differential equation that de…
About the non-standard viewpoint on the dynamics of closed vortex filament
S. V. Talalov
In this article we construct the Hamiltonian description of the closed vortex filament dynamics in terms of non-standard variables, phase space and constraints. The suggested appro…