7,585 research outputs found
Particle-wave duality: a dichotomy between symmetry and asymmetry
Symmetry plays a central role in many areas of modern physics. Here we show
that it also underpins the dual particle and wave nature of quantum systems. We
begin by noting that a classical point particle breaks translational symmetry
whereas a wave with uniform amplitude does not. This provides a basis for
associating particle nature with asymmetry and wave nature with symmetry. We
derive expressions for the maximum amount of classical information we can have
about the symmetry and asymmetry of a quantum system with respect to an
arbitrary group. We find that the sum of the information about the symmetry
(wave nature) and the asymmetry (particle nature) is bounded by log(D) where D
is the dimension of the Hilbert space. The combination of multiple systems is
shown to exhibit greater symmetry and thus more wavelike character. In
particular, a class of entangled systems is shown to be capable of exhibiting
wave-like symmetry as a whole while exhibiting particle-like asymmetry
internally. We also show that superdense coding can be viewed as being
essentially an interference phenomenon involving wave-like symmetry with
respect to the group of Pauli operators.Comment: 20 pages, 3 figure
RadVel: The Radial Velocity Modeling Toolkit
RadVel is an open source Python package for modeling Keplerian orbits in
radial velocity (RV) time series. RadVel provides a convenient framework to fit
RVs using maximum a posteriori optimization and to compute robust confidence
intervals by sampling the posterior probability density via Markov Chain Monte
Carlo (MCMC). RadVel allows users to float or fix parameters, impose priors,
and perform Bayesian model comparison. We have implemented realtime MCMC
convergence tests to ensure adequate sampling of the posterior. RadVel can
output a number of publication-quality plots and tables. Users may interface
with RadVel through a convenient command-line interface or directly from
Python. The code is object-oriented and thus naturally extensible. We encourage
contributions from the community. Documentation is available at
http://radvel.readthedocs.io.Comment: prepared for resubmission to PAS
Ultralight amorphous silicon alloy photovoltaic modules for space applications
Ultralight and ultrathin, flexible, rollup monolithic PV modules have been developed consisting of multijunction, amorphous silicon alloys for either terrestrial or aerospace applications. The rate of progress in increasing conversion efficiency of stable multijunction and multigap PV cells indicates that arrays of these modules can be available for NASA's high power systems in the 1990's. Because of the extremely light module weight and the highly automated process of manufacture, the monolithic a-Si alloy arrays are expected to be strongly competitive with other systems for use in NASA's space station or in other large aerospace applications
The Goldstone solar system radar: A science instrument for planetary research
The Goldstone Solar System Radar (GSSR) station at NASA's Deep Space Communications Complex in California's Mojave Desert is described. A short chronological account of the GSSR's technical development and scientific discoveries is given. This is followed by a basic discussion of how information is derived from the radar echo and how the raw information can be used to increase understanding of the solar system. A moderately detailed description of the radar system is given, and the engineering performance of the radar is discussed. The operating characteristics of the Arcibo Observatory in Puerto Rico are briefly described and compared with those of the GSSR. Planned and in-process improvements to the existing radar, as well as the performance of a hypothetical 128-m diameter antenna radar station, are described. A comprehensive bibliography of referred scientific and engineering articles presenting results that depended on data gathered by the instrument is provided
Character Formulae and Partition Functions in Higher Dimensional Conformal Field Theory
A discussion of character formulae for positive energy unitary irreducible
representations of the the conformal group is given, employing Verma modules
and Weyl group reflections. Product formulae for various conformal group
representations are found. These include generalisations of those found by
Flato and Fronsdal for SO(3,2). In even dimensions the products for free
representations split into two types depending on whether the dimension is
divisible by four or not.Comment: 43 pages, uses harvmac,version 2 2 references added, minor typos
correcte
Uniform Substitution for Differential Game Logic
This paper presents a uniform substitution calculus for differential game
logic (dGL). Church's uniform substitutions substitute a term or formula for a
function or predicate symbol everywhere. After generalizing them to
differential game logic and allowing for the substitution of hybrid games for
game symbols, uniform substitutions make it possible to only use axioms instead
of axiom schemata, thereby substantially simplifying implementations. Instead
of subtle schema variables and soundness-critical side conditions on the
occurrence patterns of logical variables to restrict infinitely many axiom
schema instances to sound ones, the resulting axiomatization adopts only a
finite number of ordinary dGL formulas as axioms, which uniform substitutions
instantiate soundly. This paper proves soundness and completeness of uniform
substitutions for the monotone modal logic dGL. The resulting axiomatization
admits a straightforward modular implementation of dGL in theorem provers
CONSUMER PREFERENCES AS DRIVERS OF THE COMMON BEAN TRADE IN TANZANIA: A MARKETING PERSPECTIVE
The objective of this study was to determine the impact of bean grain quality characteristics on market price. The data was collected from retail markets in Tanzania. Hedonic pricing provides a statistical estimate of premiums and discounts. Implications for development of bean markets include: i) extension agents should identify cost-effective ways to educate producers on targeting urban market niches based on consumer preferences for varieties, ii) breeding for bruchid resistant beans and use of appropriate storage technologies would alleviate the problems of storage damage, and iii) requiring a portfolio of grain quality characteristics to fit consumer preferences in local markets.Beans, markets, consumer preferences, hedonic, storage, Tanzania
Schur Q-functions and degeneracy locus formulas for morphisms with symmetries
We give closed-form formulas for the fundamental classes of degeneracy loci
associated with vector bundle maps given locally by (not necessary square)
matrices which are symmetric (resp. skew-symmetric) w.r.t. the main diagonal.
Our description uses essentially Schur Q-polynomials of a bundle, and is based
on a certain push-forward formula for these polynomials in a Grassmann bundle.Comment: 22 pages, AMSTEX, misprints corrected, exposition improved. to appear
in the Proceedings of Intersection Theory Conference in Bologna, "Progress in
Mathematics", Birkhause
Ground-Based Multisite Observations of Two Transits of HD 80606b
We present ground-based optical observations of the 2009 September and 2010 January transits of HD 80606b. Based on three partial light curves of the 2009 September event, we derive a midtransit time of T_c [HJD] = 2455099.196 ± 0.026, which is about 1σ away from the previously predicted time. We observed the 2010 January event from nine different locations, with most phases of the transit being observed by at least three different teams. We determine a midtransit time of Tc [HJD] = 2455210.6502 ± 0.0064, which is within 1.3σ of the time derived from a Spitzer observation of the same event
The free energy in a class of quantum spin systems and interchange processes
We study a class of quantum spin systems in the mean-field setting of the
complete graph. For spin the model is the Heisenberg ferromagnet,
for general spin it has a probabilistic representation
as a cycle-weighted interchange process. We determine the free energy and the
critical temperature (recovering results by T\'oth and by Penrose when
). The critical temperature is shown to coincide (as a function of
) with that of the state classical Potts model, and the phase
transition is discontinuous when .Comment: 22 page
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