10,748 research outputs found
Are classically singular spacetimes quantum mechanically singular as well?
Are the classical singularities of general relativistic spacetimes, normally
defined by the incompleteness of classical particle paths, still singular if
quantum mechanical particles are used instead? This is the question we will
attempt to answer for particles obeying the quantum mechanical wave equations
for scalar, null vector and spinor particles. The analysis will be restricted
to certain static general relativistic spacetimes that classically contain the
mildest true classical singularities, quasiregular singularities.Comment: 3 pages, no figures, submitted to the Proceedings of the Tenth Marcel
Grossmann Meeting on General Relativity, Rio de Janeiro, July 20-26, 200
The energies and residues of the nucleon resonances N(1535) and N(1650)
We extract pole positions for the N(1535) and N(1650) resonances using two
different models. The positions are determined from fits to different subsets
of the existing , and data
and found to be 1515(10)--i85(15)MeV and 1660(10)--i65(10)MeV, when the data is
described in terms of two poles. Sensitivity to the choice of fitted data is
explored. The corresponding and residues of these poles
are also extracted.Comment: 9 page
Substantial regional variation in substitution rates in the human genome: importance of GC content, gene density and telomere-specific effects
This study presents the first global, 1 Mbp level analysis of patterns of
nucleotide substitutions along the human lineage. The study is based on the
analysis of a large amount of repetitive elements deposited into the human
genome since the mammalian radiation, yielding a number of results that would
have been difficult to obtain using the more conventional comparative method of
analysis. This analysis revealed substantial and consistent variability of
rates of substitution, with the variability ranging up to 2-fold among
different regions. The rates of substitutions of C or G nucleotides with A or T
nucleotides vary much more sharply than the reverse rates suggesting that much
of that variation is due to differences in mutation rates rather than in the
probabilities of fixation of C/G vs. A/T nucleotides across the genome. For all
types of substitution we observe substantially more hotspots than coldspots,
with hotspots showing substantial clustering over tens of Mbp's. Our analysis
revealed that GC-content of surrounding sequences is the best predictor of the
rates of substitution. The pattern of substitution appears very different near
telomeres compared to the rest of the genome and cannot be explained by the
genome-wide correlations of the substitution rates with GC content or exon
density. The telomere pattern of substitution is consistent with natural
selection or biased gene conversion acting to increase the GC-content of the
sequences that are within 10-15 Mbp away from the telomere.Comment: 35 pages, 6 figure
Distinct changes of genomic biases in nucleotide substitution at the time of mammalian radiation
Differences in the regional substitution patterns in the human genome created
patterns of large-scale variation of base composition known as genomic
isochores. To gain insight into the origin of the genomic isochores we develop
a maximum likelihood approach to determine the history of substitution patterns
in the human genome. This approach utilizes the vast amount of repetitive
sequence deposited in the human genome over the past ~250 MYR. Using this
approach we estimate the frequencies of seven types of substitutions: the four
transversions, two transitions, and the methyl-assisted transition of cytosine
in CpG. Comparing substitutional patterns in repetitive elements of various
ages, we reconstruct the history of the base-substitutional process in the
different isochores for the past 250 Myr. At around 90 Myr ago (around the time
of the mammalian radiation), we find an abrupt 4- to 8-fold increase of the
cytosine transition rate in CpG pairs compared to that of the reptilian
ancestor. Further analysis of nucleotide substitutions in regions with
different GC-content reveals concurrent changes in the substitutional patterns.
While the substitutional pattern was dependent on the regional GC-content in
such ways that it preserved the regional GC-content before the mammalian
radiation, it lost this dependence afterwards. The substitutional pattern
changed from an isochore-preserving to an isochore-degrading one. We conclude
that isochores have been established before the radiation of the eutherian
mammals and have been subject to the process of homogenization since then
On an acoustic field generated by subsonic jet at low Reynolds numbers
An acoustic field generated by subsonic jets at low Reynolds numbers was investigated. This work is motivated by the need to increase the fundamental understanding of the jet noise generation mechanism which is essential to the development of further advanced techniques of noise suppression. The scope of this study consists of two major investigation. One is a study of large scale coherent structure in the jet turbulence, and the other is a study of the Reynolds number dependence of jet noise. With this in mind, extensive flow and acoustic measurements in low Reynolds number turbulent jets (8,930 less than or equal to M less than or equal to 220,000) were undertaken using miniature nozzles of the same configuration but different diameters at various exist Mach numbers (0.2 less than or equal to M less than or equal to 0.9)
Experimental verification of the Heisenberg uncertainty principle for hot fullerene molecules
The Heisenberg uncertainty principle for material objects is an essential
corner stone of quantum mechanics and clearly visualizes the wave nature of
matter. Here we report a demonstration of the Heisenberg uncertainty principle
for the most massive, complex and hottest single object so far, the fullerene
molecule C70 at a temperature of 900 K. We find a good quantitative agreement
with the theoretical expectation: dx * dp = h, where dx is the width of the
restricting slit, dp is the momentum transfer required to deflect the fullerene
to the first interference minimum and h is Planck's quantum of action.Comment: 4 pages, 4 figure
- …