29,084 research outputs found
Emergence of symmetry from random n-body interactions
An ensemble with random n-body interactions is investigated in the presence
of symmetries. A striking emergence of regularities in spectra, ground state
spins and isospins is discovered in both odd and even-particle systems. Various
types of correlations from pairing to spectral sequences and correlations
across different masses are explored. A search for interpretation is presented.Comment: 5 pages, 3 figure
Detecting Galactic Binaries with LISA
One of the main sources of gravitational waves for the LISA space-borne
interferometer are galactic binary systems. The waveforms for these sources are
represented by eight parameters, of which four are extrinsic, and four are
intrinsic to the system. Geometrically, these signals exist in an 8-d parameter
space. By calculating the metric tensor on this space, we calculate the number
of templates needed to search for such sources. We show in this study that
below a particular monochromatic frequency, we can ignore one of the intrinsic
parameters and search over a 7-d space. Beyond this frequency, we have a sudden
change in dimensionality of the parameter space from 7 to 8 dimensions, which
results in a change in the scaling of the growth of template number as a
function of monochromatic frequency.Comment: 7 pages-2 figures. One figure added and typos corrected. Accepted for
the proceedings of GWDAW 9, special edition of Classical and Quantum Gravit
Degradation by the atmosphere of microwave radiometric observations from space - 0.5 to 20 GHz, volume 2 Final report
Brightness temperatures and emissivities of sea wate
Few-fermion systems in one dimension: Ground- and excited-state energies and contacts
Using the lattice Monte Carlo method, we compute the energy and Tan's contact
in the ground state as well as the first excited state of few- to many-fermion
systems in a one-dimensional periodic box. We focus on unpolarized systems of
N=4,6,...,12 particles, with a zero-range interaction, and a wide range of
attractive couplings. In addition, we provide extrapolations to the
infinite-volume and thermodynamic limits.Comment: 8 pages, 12 figures; published versio
Severity of disease and risk of malignant change in hereditary multiple exostoses. A genotype-phenotype study
We performed a prospective genotype-phenotype study using molecular screening and clinical assessment to compare the severity of disease and the risk of sarcoma in 172 individuals (78 families) with hereditary multiple exostoses. We calculated the severity of disease including stature, number of exostoses, number of surgical procedures that were necessary, deformity and functional parameters and used molecular techniques to identify the genetic mutations in affected individuals. Each arm of the genotype-phenotype study was blind to the outcome of the other. Mutations EXT1 and EXT2 were almost equally common, and were identified in 83% of individuals. Non-parametric statistical tests were used. There was a wide variation in the severity of disease. Children under ten years of age had fewer exostoses, consistent with the known age-related penetrance of this condition. The severity of the disease did not differ significantly with gender and was very variable within any given family. The sites of mutation affected the severity of disease with patients with EXT1 mutations having a significantly worse condition than those with EXT2 mutations in three of five parameters of severity (stature, deformity and functional parameters). A single sarcoma developed in an EXT2 mutation carrier, compared with seven in EXT1 mutation carriers. There was no evidence that sarcomas arose more commonly in families in whom the disease was more severe. The sarcoma risk in EXT1 carriers is similar to the risk of breast cancer in an older population subjected to breast-screening, suggesting that a role for regular screening in patients with hereditary multiple exostoses is justifiable. ©2004 British Editorial Society of Bone and Joint Surgery
A Theory of Errors in Quantum Measurement
It is common to model random errors in a classical measurement by the normal
(Gaussian) distribution, because of the central limit theorem. In the quantum
theory, the analogous hypothesis is that the matrix elements of the error in an
observable are distributed normally. We obtain the probability distribution
this implies for the outcome of a measurement, exactly for the case of 2x2
matrices and in the steepest descent approximation in general. Due to the
phenomenon of `level repulsion', the probability distributions obtained are
quite different from the Gaussian.Comment: Based on talk at "Spacetime and Fundamental Interactions: Quantum
Aspects" A conference to honor A. P. Balachandran's 65th Birthda
Antiquark nuggets as dark matter: New constraints and detection prospects
Current evidence for dark matter in the universe does not exclude heavy
composite nuclear-density objects consisting of bound quarks or antiquarks over
a significant range of masses. Here we analyze one such proposed scenario,
which hypothesizes antiquark nuggets with a range of log10(B) = 24-30 with
specific predictions for spectral emissivity via interactions with normal
matter. We find that, if these objects make up the majority of the dark matter
density in the solar neighborhood, their radiation efficiency in solids is
marginally constrained, due to limits from the total geothermal energy budget
of the Earth. At allowed radiation efficiencies, the number density of such
objects can be constrained to be well below dark matter densities by existing
radio data over a mass range currently not restricted by other methods.Comment: 6 pages, 3 figures, revised references; submitted to PR
PT-symmetry broken by point-group symmetry
We discuss a PT-symmetric Hamiltonian with complex eigenvalues. It is based
on the dimensionless Schr\"{o}dinger equation for a particle in a square box
with the PT-symmetric potential . Perturbation theory clearly
shows that some of the eigenvalues are complex for sufficiently small values of
. Point-group symmetry proves useful to guess if some of the eigenvalues
may already be complex for all values of the coupling constant. We confirm
those conclusions by means of an accurate numerical calculation based on the
diagonalization method. On the other hand, the Schr\"odinger equation with the
potential exhibits real eigenvalues for sufficiently small
values of . Point group symmetry suggests that PT-symmetry may be broken
in the former case and unbroken in the latter one
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