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Gauge symmetry in Fokker–Planck dynamics
(2003)
Using a Galilean metric approach, based on an embedding of the Euclidean space into a (4+1)-Minkowski space, we analyze a gauge invariant Lagrangian associated with a Riemannian manifold View the MathML source, with metric ...
Lorentz-like covariant equations of non-relativistic fluids
(2003)
We use a geometrical formalism of Galilean invariance to build various
hydrodynamics models. It consists in embedding the Newtonian spacetime
into a non-Euclidean 4 + 1 space and provides thereby a procedure that
unifies ...
BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
(Iop Publishing Ltd, 2010-04-28)
We derive a generalized time-dependent Galilean-invariant density-functional (DF) equation appropriate to study the stationary and non-stationary properties of a trapped Fermi super-fluid in the Bardeen-Cooper-Schrieffer ...
BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
(Iop Publishing Ltd, 2010-04-28)
We derive a generalized time-dependent Galilean-invariant density-functional (DF) equation appropriate to study the stationary and non-stationary properties of a trapped Fermi super-fluid in the Bardeen-Cooper-Schrieffer ...
Vector solitons in a spin-orbit-coupled spin-2 Bose-Einstein condensate
(Amer Physical Soc, 2015-06-15)
Five-component minimum-energy bound states and mobile vector solitons of a spin-orbit-coupled quasi-one-dimensional hyperfine-spin-2 Bose-Einstein condensate are studied using the numerical solution and variational ...
Vector solitons in a spin-orbit-coupled spin-2 Bose-Einstein condensate
(2015-06-15)
Five-component minimum-energy bound states and mobile vector solitons of a spin-orbit-coupled quasi-one-dimensional hyperfine-spin-2 Bose-Einstein condensate are studied using the numerical solution and variational ...
The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)
A formalism is proposed for developing phase-space representations of
elementary quantum systems under general invariance groups. Several
examples are discussed, including the usual Weyl calculus, the Moyal
formulation ...
KPZ. Recent developments via a variational formulation
(Papers in Physics, 2013-12)
Recently, a variational approach has been introduced for the paradigmatic Kardar–Parisi– Zhang (KPZ) equation. Here we review that approach, together with the functional Taylor expansion that the KPZ nonequilibrium potential ...
Non-linear Liouville and Shrödinger equations in phase space
(2010)
Unitary representations of the Galilei group are studied in phase space, in order to describe classical and quantum systems. Conditions to write in general form the generator of time translation and Lagrangians in phase ...
A self-bound matter-wave boson-fermion quantum ball
(2018-09-01)
We demonstrate the possibility of creating a self-bound stable three-dimensional matter-wave spherical boson-fermion quantum ball in the presence of an attractive boson-fermion interaction and a small repulsive three-boson ...