196,189 research outputs found
Grouping Normal Type Ia Supernovae by UV to Optical Color Differences
Observations of many SNe Ia with the UVOT instrument on the Swift satellite
has revealed that there exists order to the differences in the UV-OPT colors of
normal SNe. We examine UV-OPT color curves for 25 SNe Ia, dividing them into 4
groups, finding that ~1/3 of these SNe Ia have bluer UV-OPT colors than the
larger group, with these "NUV-blue" SNe Ia 0.4 mag bluer than the "NUV-red" SNe
Ia in u-v. Another group of events feature colors similar to NUV-red SNe Ia in
the u-v to uvw1-v colors, but similar to the NUV-blue SNe Ia in the uvm2-v
color. We name these events "MUV-blue". The last group initially has colors
similar to NUV-red SNe Ia, but with color curves that feature more modest
changes than the larger NUV-red group. These "irregular" events are comprised
of all the NUV-red events with the broadest optical peaks, which leads us to
consider this minor group a subset of the NUV-red group. When so separated and
the accounting is made for the rapid time evolution of the UV-OPT colors, we
find that the scatter in two NUV-OPT colors, u-v & uvw1-v, is at the level of
the scatter in b-v. This finding is promising for extending the cosmological
utilization of SNe Ia into the NUV. We generate spectrophotometry of SNe Ia
that have been observed with HST and argue that there is a fundamental spectral
difference in the 2900-3500A wavelength range, a range suggested to be
dominated by absorption from iron-peak elements. The NUV-blue SNe Ia feature
less NUV absorption than the NUV-red SNe Ia. We show that all the NUV-blue SNe
Ia in this sample have also featured evidence of unburned carbon in optical
spectra, whereas only one NUV-red SN Ia features that absorption line. Every
NUV-blue event also exhibits a low gradient of the SiII 6355A absorption
feature, but many NUV-red events also exhibit a low gradient, perhaps
suggestive that NUV-blue events are a subset of the larger LVG group.Comment: Accepted to the Astrophysical Journal Updated version: Sept 16, 201
Woodbury, Town of and Woodbury Police Benevolent Association (Dispatchers)
In the Matter of TOWN OF WOODBURY, Orange County and WOODBURY POLICE BENEVOLENT ASSOCIATION (Dispatchers). FINDINGS OF FACT and RECOMMENDATIONS FOR RESOLUTION. Peter A. Korn, Fact Finder
Exact solution for the Green's function describing time-dependent thermal Comptonization
We obtain an exact, closed-form expression for the time-dependent Green's
function solution to the Kompaneets equation. The result, which is expressed as
the integral of a product of two Whittaker functions, describes the evolution
in energy space of a photon distribution that is initially monoenergetic.
Effects of spatial transport within a homogeneous scattering cloud are also
included within the formalism. The Kompaneets equation that we solve includes
both the recoil and energy diffusion terms, and therefore our solution for the
Green's function approaches the Wien spectrum at large times. We show that the
Green's function can be used to generate all of the previously known
steady-state and time-dependent solutions to the Kompaneets equation. The new
solution allows the direct determination of the spectrum, without the need to
numerically solve the partial differential equation. Based upon the Green's
function, we obtain a new time-dependent solution for the photon distribution
resulting from the reprocessing of an optically thin bremsstrahlung initial
spectrum with a low-energy cutoff. The new bremsstrahlung solution possesses a
finite photon number density, and therefore it displays proper equilibration to
a Wien spectrum at large times. The relevance of our results for the
interpretation of emission from variable X-ray sources is discussed, with
particular attention to the production of hard X-ray time lags, and the Compton
broadening of narrow features such as iron lines.Comment: text plus 9 figures, MNRAS 2003, in pres
A rationality criterion for unbounded operators
Let G be a group, let U(G) denote the set of unbounded operators on L^2(G)
which are affiliated to the group von Neumann algebra W(G) of G, and let D(G)
denote the division closure of CG in U(G). Thus D(G) is the smallest subring of
U(G) containing CG which is closed under taking inverses. If G is a free group
then D(G) is a division ring, and in this case we shall give a criterion for an
element of U(G) to be in D(G). This extends a result of Duchamp and Reutenauer,
which was concerned with proving a conjecture of Connes.Comment: 7 pages, to appear in the Comptes Rendu
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