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The Spinor Representation of Minimal Surfaces
Screw die space the projective plane the average curvature functions
2014/12/29
The spinor representation is developed and used to investigate minimal surfaces in R^3 with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes are deter...
Polarized states and domain walls in spinor Bose-Einstein condensates
Spin polarization antiferromagnetic phase condensate Thomas Fermi schema types
2014/12/25
We study spin-polarized states and their stability in the antiferromagnetic phase of spinor (F=1) quasi-one-dimensional Bose-Einstein condensates. Using analytical approximations and numerical methods...
Bright-dark soliton complexes in spinor Bose-Einstein condensates
Bright vector soliton mixed type condensation coupling vector solitons
2014/12/25
We consider vector solitons of mixed bright-dark types in quasi-one-dimensional spinor (F=1) Bose-Einstein condensates. Using a multiscale expansion technique, we reduce the corresponding nonintegrabl...
Spinor Bose-Einstein condensates in double-well potentials
Spinor statics dynamics condensate the stillness of the state
2014/12/24
We consider the statics and dynamics of F = 1 spinor Bose–Einstein condensates (BECs) confined in double-well potentials. We use a two-mode Galerkin-type quasi-analytical approximation to describe the...
Spinor Bose-Einstein condensate flow past an obstacle
Spinor bose-einstein condensate macroscopic nonlinear structure vortex ring
2014/12/24
We study the flow of a spinor (F=1) Bose-Einstein condensate in the presence of an obstacle. We consider the cases of ferromagnetic and polar spin-dependent interactions, and find that the system demo...