114 research outputs found

    L^{2}-restriction bounds for eigenfunctions along curves in the quantum completely integrable case

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    We show that for a quantum completely integrable system in two dimensions,the L2L^{2}-normalized joint eigenfunctions of the commuting semiclassical pseudodifferential operators satisfy restriction bounds ofthe form γϕj2ds=O(log) \int_{\gamma} |\phi_{j}^{\hbar}|^2 ds = {\mathcal O}(|\log \hbar|) for generic curves γ\gamma on the surface. We also prove that the maximal restriction bounds of Burq-Gerard-Tzvetkov are always attained for certain exceptional subsequences of eigenfunctions.Comment: Correct some typos and added some more detail in section

    Anisotropic conductivity of Nd_{1.85}Ce_{0.15}CuO_{4-\delta} films at submillimeter wavelengths

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    The anisotropic conductivity of thin Nd1.85_{1.85}Ce0.15_{0.15}CuO4δ_{4-\delta} films was measured in the frequency range 8 cm1<ν<^{-1}<\nu < 40 cm1^{-1} and for temperatures 4 K <T<300<T<300 K. A tilted sample geometry allowed to extract both, in-plane and c-axis properties. The in-plane quasiparticle scattering rate remains unchanged as the sample becomes superconducting. The temperature dependence of the in-plane conductivity is reasonably well described using the Born limit for a d-wave superconductor. Below T_{{\rm C}%} the c-axis dielectric constant ϵ1c\epsilon_{1c} changes sign at the screened c-axis plasma frequency. The temperature dependence of the c-axis conductivity closely follows the linear in T behavior within the plane.Comment: 4 pages, 4 figure

    Transverse momentum spectra of charged particles in proton-proton collisions at s=900\sqrt{s} = 900 GeV with ALICE at the LHC

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    The inclusive charged particle transverse momentum distribution is measured in proton-proton collisions at s=900\sqrt{s} = 900 GeV at the LHC using the ALICE detector. The measurement is performed in the central pseudorapidity region (η<0.8)(|\eta|<0.8) over the transverse momentum range 0.15<pT<100.15<p_{\rm T}<10 GeV/cc. The correlation between transverse momentum and particle multiplicity is also studied. Results are presented for inelastic (INEL) and non-single-diffractive (NSD) events. The average transverse momentum for η<0.8|\eta|<0.8 is <pT>INEL=0.483±0.001\left<p_{\rm T}\right>_{\rm INEL}=0.483\pm0.001 (stat.) ±0.007\pm0.007 (syst.) GeV/cc and \left_{\rm NSD}=0.489\pm0.001 (stat.) ±0.007\pm0.007 (syst.) GeV/cc, respectively. The data exhibit a slightly larger <pT>\left<p_{\rm T}\right> than measurements in wider pseudorapidity intervals. The results are compared to simulations with the Monte Carlo event generators PYTHIA and PHOJET.Comment: 20 pages, 8 figures, 2 tables, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/390

    Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at 2.76 TeV

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    We report on the first measurement of the triangular v3v_3, quadrangular v4v_4, and pentagonal v5v_5 charged particle flow in Pb-Pb collisions at 2.76 TeV measured with the ALICE detector at the CERN Large Hadron Collider. We show that the triangular flow can be described in terms of the initial spatial anisotropy and its fluctuations, which provides strong constraints on its origin. In the most central events, where the elliptic flow v2v_2 and v3v_3 have similar magnitude, a double peaked structure in the two-particle azimuthal correlations is observed, which is often interpreted as a Mach cone response to fast partons. We show that this structure can be naturally explained from the measured anisotropic flow Fourier coefficients.Comment: 10 pages, 4 figures, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/387

    СОВЕТСКАЯ ВОЕННАЯ ПОМОЩЬ РЕСПУБЛИКАНСКОЙ ИСПАНИИ И ЕЕ ИТОГИ

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    The article is devoted to a comprehensive study of Soviet military assistance to Republican Spain in the Civil War of 1936-1939. The paper reveals the decision-making processes of the Soviet government to provide military provision to Spain, the implementation of operation "X". The activities of military advisers in Spain and the legal framework of their activities are revealed. The military participation of volunteers and their exploits are also considered. The article draws conclusions and summarizes the provision of military assistance to Spain for the USSR.Статья посвящена комплексному исследованию Советской военной помощи Республиканской Испании в Гражданской войне 1936-1939 гг. В статье раскрываются процессы принятия решения советским правительством об оказании военной помощи Испании, осуществления операции «Х». Раскрывается деятельность военных советников в Испании и законные рамки их деятельности. Также рассматривается военная деятельность добровольцев, их подвиги. В статье сделаны выводы и подведены итоги оказания военной помощи Испании для СССР
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