146 research outputs found
On piecewise trivial HopfâGalois extensions
We discuss a noncommutative generalization of compact principal bundles that can be trivialized relative to the finite covering by closed sets. In this setting we present bundle reconstruction and reduction
Strong Connections on Quantum Principal Bundles
A gauge invariant notion of a strong connection is presented and
characterized. It is then used to justify the way in which a global curvature
form is defined. Strong connections are interpreted as those that are induced
from the base space of a quantum bundle. Examples of both strong and non-strong
connections are provided. In particular, such connections are constructed on a
quantum deformation of the fibration . A certain class of strong
-connections on a trivial quantum principal bundle is shown to be
equivalent to the class of connections on a free module that are compatible
with the q-dependent hermitian metric. A particular form of the Yang-Mills
action on a trivial U\sb q(2)-bundle is investigated. It is proved to
coincide with the Yang-Mills action constructed by A.Connes and M.Rieffel.
Furthermore, it is shown that the moduli space of critical points of this
action functional is independent of q.Comment: AMS-LaTeX, 40 pages, major revision including examples of connections
over a quantum real projective spac
The Weyl bundle as a differentiable manifold
Construction of an infinite dimensional differentiable manifold not modelled on any Banach space is proposed. Definition, metric
and differential structures of a Weyl algebra and a Weyl algebra bundle are
presented. Continuity of the -product in the Tichonov topology is
proved. Construction of the -product of the Fedosov type in terms of theory
of connection in a fibre bundle is explained.Comment: 31 pages; revised version - some typoes have been eliminated,
notation has been simplifie
Structural Transitions and Global Minima of Sodium Chloride Clusters
In recent experiments on sodium chloride clusters structural transitions
between nanocrystals with different cuboidal shapes were detected. Here we
determine reaction pathways between the low energy isomers of one of these
clusters, (NaCl)35Cl-. The key process in these structural transitions is a
highly cooperative rearrangement in which two parts of the nanocrystal slip
past one another on a {110} plane in a direction. In this way the
nanocrystals can plastically deform, in contrast to the brittle behaviour of
bulk sodium chloride crystals at the same temperatures; the nanocrystals have
mechanical properties which are a unique feature of their finite size. We also
report and compare the global potential energy minima for (NaCl)NCl- using two
empirical potentials, and comment on the effect of polarization.Comment: extended version, 13 pages, 8 figures, revte
Effect of Impurities on Pentacene Thin Film Growth for Field-Effect Transistors
Pentacenequinone (PnQ) impurities have been introduced into a pentacene
source material at number densities from 0.001 to 0.474 to quantify the
relative effects of impurity content and grain boundary structure on transport
in pentacene thin-film transistors. Atomic force microscopy (AFM) and
electrical measurements of top-contact pentacene thin-film transistors have
been employed to directly correlate initial structure and final film
structures, with the device mobility as a function of added impurity content.
The results reveal a factor four decrease in mobility without significant
changes in film morphology for source PnQ number fractions below ~0.008. For
these low concentrations, the impurity thus directly influences transport,
either as homogeneously distributed defects or by concentration at the
otherwise-unchanged grain boundaries. For larger impurity concentrations, the
continuing strong decrease in mobility is correlated with decreasing grain
size, indicating an impurity-induced increase in the nucleation of grains
during early stages of film growth.Comment: 18 pages, 4 Figures, 1 Tabl
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