Finite-Dimensional Sturm–Liouville Vessels and Their Tau Functions

We introduce a theory of a class of finite-dimensional vessels, a concept originating from the pioneering work of Livšic (Soobshch Akad Nauk Gruzin SSSR 91(2):281–284, 1978). Our work may be considered as a first step toward analyzing and constructing Lax Phillips scattering theory for Sturm–Liouville differentiable equations on the half axis (0,∞) with singularity at 0. We also develop a rich and interesting theory of vessels with deep connections to the notion of the τ function, arising in non linear differential equations (LDE), and to the Galois differential theory for LDEs.     

Identification of Zonal Flows and Their Spatial Distribution in the TJ-II Stellarator Plasmas

JETP Letters - The magnetic and electronic properties of quasi-one-dimensional iron chalcogenide compound KFeS2 have been calculated within two DFT + U approaches based on the simplified LSDA + U...     

Robustness of the Spin-Navigator Based Method for the Manipulation of the Beam Polarization Axis in a Spin-Transparent Storage Ring

Physics of Atomic Nuclei - We have investigated the robustness of the spin-navigator based method for manipulating the beam polarization to bend magnet installation errors. Toward that end,...     

Coherent laser spectroscopy of ¯pHe+

The facilities of the coherent laser pulse spectroscopy of the ¯pHe⁺ transitions are considered taking the magnetic structure of the energy levels into account. The possibility for the observation of the dynamics of intramolecular motions is also analyzed.     

The Bending Vibrational Ladder of HCN by Hot Gas Emission Spectroscopy

High-resolution measurements have been made on the infrared emission spectrum of the doubly substituted HCN isotopomer, H¹³C¹⁵N, at temperatures on the order of 1370 K. The measurements cover the region 400-850 cm⁻¹ with a resolution (1/MOPD) of 0.006 cm⁻¹. We could assign hot bands with upper levels up to the 0 11¹¹ 0 state. The assignments have been verified for states up to v₂=5 by fitting with earlier room temperature absorption measurements of overtone and hot bands. All the measurements for H¹³C¹⁵N have been combined in a single least-squares fit that includes approximately 8670 rovibrational lines which have a root-mean-square deviation on the order of 0.000 33 cm⁻¹. The spectroscopic constants for the bending states v₂=1,…,11 are reported, as well as those for some combination states involving the two stretching modes.     

Real radiation at next-to-next-to-leading order in QCD: e+e- --> 2 jets through O(alpha2s)

We present a calculation of the differential two-jet cross section in e(+)e(-) annihilation through next-to-next-to-leading order (NNLO) in the strong coupling constant alpha(s). The calculation is performed using a new method for dealing with real radiation suggested recently by us. For the first time, the two-jet event rate is computed directly, without any reference to the inclusive cross section e(+)e(-)-->hadrons. We also calculate the energy distribution of the leading jet in e(+)e(-)-->2 jets and find significant modifications of the shape of this distribution at NNLO.     

Thermal properties of fluoride glasses and their gel precursors

Xerogels were prepared from zirconium, barium, aluminum, lanthanum and lithium acetates, corresponding to a Li containing ZBLA composition. The study of their thermal properties (DSC, TG/DTG, FT-IR) showed that they might be used as chemically stable precursors in the preparation of fluoride glasses. Hydrofluoric acid in solution was chosen as a mild fluorinating agent. This newly proposed technique of fluorinating allowed to obtain high quality ZBLALi glass which presents the advantage of higher thermal stability and homogeneity in comparison with the glass obtained using individual commercial fluorides.This revised version was published online in November 2005 with corrections to the Cover Date.