1,425,837 research outputs found
On Rotations as Spin Matrix Polynomials
Recent results for rotations expressed as polynomials of spin matrices are
derived here by elementary differential equation methods. Structural features
of the results are then examined in the framework of biorthogonal systems, to
obtain an alternate derivation. The central factorial numbers play key roles in
both derivations.Comment: 6 Figures. References updated in v2, along with some editing of tex
Recommended from our members
Ideation as an intellectual information acquisition and use context: Investigating game designersâ information-based ideation behavior
Human Information Behavior (HIB) research commonly examines behavior in the context of why information is acquired and how it will be used, but usually at the level of the work or everyday-life tasks the information will support. HIB has not been examined in detail at the broader contextual level of intellectual purpose (i.e. the higher-order conceptual tasks the information was acquired to support). Examination at this level can enhance holistic understanding of HIB as a âmeans to an intellectual endâ and inform the design of digital information environments that support information interaction for specific intellectual purposes. We investigate information-based ideation (IBI) as a specific intellectual information acquisition and use context by conducting Critical Incident-style interviews with ten game designers, focusing on how they interact with information to generate and develop creative design ideas. Our findings give rise to a framework of their ideation-focused HIB, which systems designers can leverage to reason about how best to support certain behaviors to drive design ideation. These findings emphasize the importance of intellectual purpose as a driver for acquisition and desired outcome of use
Impact of Rotation on Quark-Hadron Hybrid Stars
Many recent observations give restrictions to the equation of state (EOS) for
high-density matter. Theoretical studies are needed to try to elucidate these
EOSs at high density and/or temperature. With the many known rapidly rotating
neutron stars, e.g., pulsars, several theoretical studies have tried to take
into account the effects of rotation. In our study of these systems, we find
that one of our EOSs is consistent with recent observation, whereas the other
is inconsistent.Comment: Quarks and Compact Stars 201
Torsion-Adding and Asymptotic Winding Number for Periodic Window Sequences
In parameter space of nonlinear dynamical systems, windows of periodic states
are aligned following routes of period-adding configuring periodic window
sequences. In state space of driven nonlinear oscillators, we determine the
torsion associated with the periodic states and identify regions of uniform
torsion in the window sequences. Moreover, we find that the measured of torsion
differs by a constant between successive windows in periodic window sequences.
We call this phenomenon as torsion-adding. Finally, combining the torsion and
the period adding rules, we deduce a general rule to obtain the asymptotic
winding number in the accumulation limit of such periodic window sequences
Mesoscopic ensembles of polar bosons in triple-well potentials
Mesoscopic dipolar Bose gases in triple-well potentials offer a minimal
system for the analysis of the long-range character of the dipole-dipole
interactions. We show that this long-range character may be clearly revealed by
a variety of possible ground-state phases. In addition, an appropriate control
of short-range and dipolar interactions may lead to novel scenarios for the
dynamics of atoms and polar molecules in lattices, including the dynamical
creation of mesoscopic Schr\"odinger cats, which may be employed as a source of
highly-nonclassical states for Heisenberg-limited interferometry.Comment: 4 pages, 3 figures. Identical to the published version, including
supplemental material (4 pages, 6 figures)
Photon reabsorption in fluorescent solar collectors
Understanding photon transport losses in fluorescence solar collectors is very important for increasing optical efficiencies. We present an analytical expression to characterize photon reabsorption in fluorescent solar collectors, which represent a major source of photon loss. A particularly useful universal form of this expression is found in the limit of high reabsorption, which gives the photon reabsorption probability in a simple form as a function of the absorption coefficient and the optical Ă©tendue of the emitted photon beam. Our mathematical model predicts fluorescence spectra emitted from the collector edge, which are in excellent agreement with experiment and provide an effective characterization tool for photon transport in light absorbing media
Clustering of Far-Infrared Galaxies in the AKARI All-Sky Survey
We present the first measurement of the angular two-point correlation
function for AKARI 90-m point sources, detected outside of the Milky Way
plane and other regions characterized by high Galactic extinction, and
categorized as extragalactic sources according to our far-infrared-color based
criterion (Pollo et al. 2010). This is the first measurement of the large-scale
angular clustering of galaxies selected in the far-infrared after IRAS
measurements. Although a full description of clustering properties of these
galaxies will be obtained by more detailed studies, using either spatial
correlation function, or better information about properties and at least
photometric redshifts of these galaxies, the angular correlation function
remains the first diagnostics to establish the clustering properties of the
catalog and observed galaxy population. We find a non-zero clustering signal in
both hemispheres extending up to degrees, without any significant
fluctuations at larger scales. The observed correlation function is well fitted
by a power law function. The notable differences between a northern and
southern hemisphere are found, which can be probably attributed to the
photometry problems and point out to a necessity of performing a better
calibration in the data from southern hemisphere.Comment: 6 pages, 6 figures, accepted for publication in Earth, Planets, and
Spac
- âŠ