6,835 research outputs found
Duals of coloured quantum universal enveloping algebras and coloured universal -matrices
We extend the notion of dually conjugate Hopf (super)algebras to the coloured
Hopf (super)algebras that we recently introduced. We show that if
the standard Hopf (super)algebras that are the building blocks of
have Hopf duals , then the latter may be used to
construct coloured Hopf duals , endowed with coloured algebra
and antipode maps, but with a standard coalgebraic structure. Next, we review
the case where the 's are quantum universal enveloping algebras of
Lie (super)algebras , so that the corresponding 's are
quantum (super)groups . We extend the Fronsdal and Galindo universal
-matrix formalism to the coloured pairs by defining
coloured universal -matrices. We then show that together with the
coloured universal -matrices previously introduced, the latter provide
an algebraic formulation of the coloured RTT-relations, proposed by
Basu-Mallick. This establishes a link between the coloured extensions of
Drinfeld-Jimbo and Faddeev-Reshetikhin-Takhtajan pictures of quantum groups and
quantum algebras. Finally, we illustrate the construction of coloured pairs by
giving some explicit results for the two-parameter deformations of
, and .Comment: LaTeX 2.09, 35 pages, no figur
Generalized boson algebra and its entangled bipartite coherent states
Starting with a given generalized boson algebra U_(h(1)) known as the
bosonized version of the quantum super-Hopf U_q[osp(1/2)] algebra, we employ
the Hopf duality arguments to provide the dually conjugate function algebra
Fun_(H(1)). Both the Hopf algebras being finitely generated, we produce a
closed form expression of the universal T matrix that caps the duality and
generalizes the familiar exponential map relating a Lie algebra with its
corresponding group. Subsequently, using an inverse Mellin transform approach,
the coherent states of single-node systems subject to the U_(h(1)) symmetry
are found to be complete with a positive-definite integration measure.
Nonclassical coalgebraic structure of the U_(h(1)) algebra is found to
generate naturally entangled coherent states in bipartite composite systems.Comment: 15pages, no figur
Focused browsing: Providing topical feedback for link selection in hypertext browsing
When making decisions about whether to navigate to a linked page, users of standard browsers of hypertextual documents returned by an information retrieval search engine are entirely reliant on the content of the anchortext
associated with links and the surrounding text. This information is often insufficient for them to make reliable decisions about whether to open a linked page, and they can find themselves following many links to pages which are not helpful with subsequent return to the previous page. We describe a prototype focusing browsing application which provides feedback on the likely usefulness of each page linked from the current one, and a term cloud preview of the contents of each linked page. Results from an exploratory experiment suggest that users can find this useful in improving their search efficiency
Multiple charge beam dynamics in Alternate Phase Focusing structure
Asymmetrical Alternate Phase (A-APF) focusing realized in a sequence of 36
Superconducting Quarter Wave Resonators has been shown to accelerate almost 81
% of input Uranium beam before foil stripper to an energy of 6.2 MeV/u from 1.3
MeV/u. Ten charge states from 34+ to 43+ could be simultaneously accelerated
with the phase of resonators tuned for 34+. A-APF structure showed unique
nature of large potential bucket for charge states higher than that of tuned
one. Steering inherent to QWRs can be mitigated by selecting appropriate phase
variation of the APF periods and optimization of solenoid field strengths
placed in each of the periods. This mitigation facilitates multiple charge
state acceleration schemeComment: 10 pages, 8 figure
Particle Acceleration in Advection-Dominated Accretion Disks with Shocks: Green's Function Energy Distribution
The distribution function describing the acceleration of relativistic
particles in an advection-dominated accretion disk is analyzed using a
transport formalism that includes first-order Fermi acceleration, advection,
spatial diffusion, and the escape of particles through the upper and lower
surfaces of the disk. When a centrifugally-supported shock is present in the
disk, the concentrated particle acceleration occurring in the vicinity of the
shock channels a significant fraction of the binding energy of the accreting
gas into a population of relativistic particles. These high-energy particles
diffuse vertically through the disk and escape, carrying away both energy and
entropy and allowing the remaining gas to accrete. The dynamical structure of
the disk/shock system is computed self-consistently using a model previously
developed by the authors that successfully accounts for the production of the
observed relativistic outflows (jets) in M87 and \SgrA. This ensures that the
rate at which energy is carried away from the disk by the escaping relativistic
particles is equal to the drop in the radial energy flux at the shock location,
as required for energy conservation. We investigate the influence of advection,
diffusion, and acceleration on the particle distribution by computing the
nonthermal Green's function, which displays a relatively flat power-law tail at
high energies. We also obtain the energy distribution for the particles
escaping from the disk, and we conclude by discussing the spectrum of the
observable secondary radiation produced by the escaping particles.Comment: Published in Ap
The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra
Using a contraction procedure, we construct a twist operator that satisfies a
shifted cocycle condition, and leads to the Jordanian quasi-Hopf U_{h;y}(sl(2))
algebra. The corresponding universal matrix obeys a
Gervais-Neveu-Felder equation associated with the U_{h;y}(sl(2)) algebra. For a
class of representations, the dynamical Yang-Baxter equation may be expressed
as a compatibility condition for the algebra of the Lax operators.Comment: Latex, 9 pages, no figure
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