AbstractIt is established that, in steady circulation-preserving hydrodynamic motions with velocity q=qt subject to either of the geometric constraints t·curlt=0 or divt=0, the geodesic unit tangent t-field is constrained by privileged Heisenberg spin-type equations. In the case divt=0, remarkably, the integrable Heisenberg spin equation related to the solitonic nonlinear Schrödinger equation is obtained. Corresponding results hold “mutatis mutandis” in magneto-hydrostatics
Fluid motions are driven in a sphere by an applied body force. The fluid is electrically conducting ...
The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic ...
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differenti...
This thesis demonstrates how the geometric connection between the integrable Heisenberg spin equatio...
International audienceCarter and Lichnerowicz have established that barotropic fluid flows are confo...
The Calogero Sutherland model is system of particle moving on a line and interacting with long-range...
Carter and Lichnerowicz have established that barotropic fluid flows are conformally geodesic and ob...
A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit sphere...
The aim is to investigate the problems of the magnetic hydrodynamics taking displacement currents in...
The integrable generalised nonlinear Schrodinger equation with linearly x-dependent coefficients is ...
In this thesis, some aspects of hydrodynamics on systems with non-trivial spin degrees of freedom ar...
A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit spher...
We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet...
We study the magnetic geodesic flows on 2-surfaces having an additional first integral which is inde...
The equations of hydromagnetics appropriate for an incompressible inviscid fluid of finite electrica...
Fluid motions are driven in a sphere by an applied body force. The fluid is electrically conducting ...
The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic ...
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differenti...
This thesis demonstrates how the geometric connection between the integrable Heisenberg spin equatio...
International audienceCarter and Lichnerowicz have established that barotropic fluid flows are confo...
The Calogero Sutherland model is system of particle moving on a line and interacting with long-range...
Carter and Lichnerowicz have established that barotropic fluid flows are conformally geodesic and ob...
A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit sphere...
The aim is to investigate the problems of the magnetic hydrodynamics taking displacement currents in...
The integrable generalised nonlinear Schrodinger equation with linearly x-dependent coefficients is ...
In this thesis, some aspects of hydrodynamics on systems with non-trivial spin degrees of freedom ar...
A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit spher...
We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet...
We study the magnetic geodesic flows on 2-surfaces having an additional first integral which is inde...
The equations of hydromagnetics appropriate for an incompressible inviscid fluid of finite electrica...
Fluid motions are driven in a sphere by an applied body force. The fluid is electrically conducting ...
The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic ...
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differenti...
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