932 research outputs found
Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case
The Heun equation can be rewritten as an eigenvalue equation for an ordinary
differential operator of the form , where the potential is an
elliptic function depending on a coupling vector .
Alternatively, this operator arises from the specialization of the
elliptic nonrelativistic Calogero-Moser system (a.k.a. the Inozemtsev
system). Under suitable restrictions on the elliptic periods and on , we
associate to this operator a self-adjoint operator on the Hilbert space
, where is the real period of
. For this association and a further analysis of , a certain
Hilbert-Schmidt operator on plays a critical
role. In particular, using the intimate relation of and , we obtain a remarkable spectral invariance: In terms of a coupling
vector that depends linearly on , the spectrum of
is invariant under arbitrary permutations ,
The Vertex-Face Correspondence and the Elliptic 6j-symbols
A new formula connecting the elliptic -symbols and the fusion of the
vertex-face intertwining vectors is given. This is based on the identification
of the fusion intertwining vectors with the change of base matrix elements
from Sklyanin's standard base to Rosengren's natural base in the space of even
theta functions of order . The new formula allows us to derive various
properties of the elliptic -symbols, such as the addition formula, the
biorthogonality property, the fusion formula and the Yang-Baxter relation. We
also discuss a connection with the Sklyanin algebra based on the factorised
formula for the -operator.Comment: 23 page
A note on the Gauss decomposition of the elliptic Cauchy matrix
Explicit formulas for the Gauss decomposition of elliptic Cauchy type
matrices are derived in a very simple way. The elliptic Cauchy identity is an
immediate corollary.Comment: 5 page
Stability of E' centers induced by 4.7eV laser radiation in SiO2
The kinetics of E' centers (silicon dangling bonds) induced by 4.7eV pulsed
laser irradiation in dry fused silica was investigated by in situ optical
absorption spectroscopy. The stability of the defects, conditioned by reaction
with mobile hydrogen of radiolytic origin, is discussed and compared to results
of similar experiments performed on wet fused silica. A portion of E' and
hydrogen are most likely generated by laser-induced breaking of Si-H
precursors, while an additional fraction of the paramagnetic centers arise from
another formation mechanism. Both typologies of E' participate to the reaction
with H_2 leading to the post-irradiation decay of the defects. This annealing
process is slowed down on decreasing temperature and is frozen at T=200K,
consistently with the diffusion properties of H_2 in silica.Comment: 12 pages, 3 figures, in press on J. Non cryst. solids (2007
Nd:YAG laser induced E' centers probed by in situ absorption measurements
We investigated various types of commercial silica irradiated with a pulsed
Nd:YAG laser radiation (4.66 eV), with exposure time ranging up to 10000 s.
Transient E' centers were probed in situ by measuring the amplitude of the
optical absorption band at 5.8 eV (due to E' centers) both during and after
irradiation. The laser-induced absorption is observed only in natural samples,
whereas the synthetic materials exhibit high toughness to radiation effect. The
reported results evidence that the kinetics of E' centers is influenced by
their reaction with diffusing molecular hydrogen H2 made available by
dimerization of radiolytic H0.Comment: Submitted to Journal of Non Crystalline Solid
Lattice sites of ion-implanted Li in diamond
Published in: Appl. Phys. Lett. 66 (1995) 2733-2735
citations recorded in [Science Citation Index]
Abstract: Radioactive Li ions were implanted into natural IIa diamonds at temperatures between 100 K and 900 K. Emission channelling patterns of a-particles emitted in the nuclear decay of 8Li (t1/2 = 838 ms) were measured and, from a comparison with calculated emission channelling and blocking effects from Monte Carlo simulations, the lattice sites taken up by the Li ions were quantitatively determined. A fraction of 40(5)% of the implanted Li ions were found to be located on tetrahedral interstitial lattice sites, and 17(5)% on substitutional sites. The fractions of implanted Li on the two lattice sites showed no change with temperature, indicating that Li diffusion does not take place within the time window of our measurements.
CAT: A Critical-Area-Targeted Test Set Modification Scheme for Reducing Launch Switching Activity in At-Speed Scan Testing
Reducing excessive launch switching activity (LSA) is now mandatory in at-speed scan testing for avoiding test-induced yield loss, and test set modification is preferable for this purpose. However, previous low-LSA test set modification methods may be ineffective since they are not targeted at reducing launch switching activity in the areas around long sensitized paths, which are spatially and temporally critical for test-induced yield loss. This paper proposes a novel CAT (Critical-Area-Targeted) low-LSA test modification scheme, which uses long sensitized paths to guide launch-safety checking, test relaxation, and X-filling. As a result, launch switching activity is reduced in a pinpoint manner, which is more effective for avoiding test-induced yield loss. Experimental results on industrial circuits demonstrate the advantage of the CAT scheme for reducing launch switching activity in at-speed scan testing.2009 Asian Test Symposium, 23-26 November 2009, Taichung, Taiwa
Lung ultrasound in seven children in a Pediatric Intensive Care Unit- comparison among chest X ray, chest CT and lung ultrasound
UV-B radiation amplification factor determined based on the simultaneous observation of total ozone and global spectral irradiance
The Japan Meteorological Agency started the spectral observation of solar ultraviolet (UV) irradiance on 1 January 1990 at Tateno, Aerological Observatory in Tsukuba (35 deg N, 140 deg E). The observation has been carried out using the Brewer spectrophotometer for the wavelengths from 290 to 325 nm with a 0.5 nm interval every hour from 30 minutes before sunrise to 30 minutes after sunset throughout a year. Because of remarkable similarity within observed spectra, an observed spectrum can be expressed by a simple combination of a reference spectrum and two parameters expressing the deformation of the observed spectrum from the reference. By use of the relation between one of the deformation parameters and the total ozone simultaneously observed with the Dobson spectrophotometer, the possible increase of UV irradiance due to ozone depletion is estimated. For damaging UV, the irradiance possibly increases about 19 percent with the ozone depletion of 10 percent at noon throughout the year in the northern midlatitudes. DUV at noon on the summer solstice possibly increases about 5.6 percent with the ozone depletion of 10 m atm-cm for all latitudes in the Northern Hemisphere
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