The class of n-entire operators

We introduce a classification of simple, regular, closed symmetric operators with deficiency indices (1,1) according to a geometric criterion that extends the classical notions of entire operators and entire operators in the generalized sense due to M. G. Krein. We show that these classes of operators have several distinctive properties, some of them related to the spectra of their canonical selfadjoint extensions. In particular, we provide necessary and sufficient conditions on the spectra of two canonical selfadjoint extensions of an operator for it to belong to one of our classes. Our discussion is based on some recent results in the theory of de Branges spaces.Comment: 33 pages. Typos corrected. Changes in the wording of Section 2. References added. Examples added. arXiv admin note: text overlap with arXiv:1104.476

Formas de nitrogênio e tipo de substrato nos parâmetros de absorção de fósforo pelo milho-doce.

Foram realizados dois experimentos em casa de vegetação, em solo e em solução nutritiva, para testar, em milho-doce, o modelo matemático de Cushmao-Barber, utilizado para predizer a absorção de fósforo. Foram efetuadas análises de sensibilidade, para estudar o efeito, na absorção, da mudança de cada um dos parâmetros. A área superficial de raízes teve grande efeito na absorção de fósforo, em ambos os substratos. independente da fonte de nitrogênio. Verificou-se uma interação substrato x fonte de nitrogênio, embora a amplitude de absorção de fósforo fosse a mesma em todos os casos. Os resultados obtidos mostram que o suprimento de fósforo pelo substrato não foi o passo limitante na absorção desse nutriente pelas plantas

Continuous spectra in high-harmonic generation driven by multicycle laser pulses

We present observations of the emission of XUV continua in the 20-37 eV region by high harmonic generation (HHG) with $4$-$7\ \mathrm{fs}$ pulses focused onto a Kr gas jet. The underlying mechanism relies on coherent control of the relative delays and phases between individually generated attosecond pulse, achievable by adjusting the chirp of the driving pulses and the interaction geometry. Under adequate negative chirp and phase matching conditions, the resulting interpulse interference yields a continuum XUV spectrum, which is due to both microscopic and macroscopic (propagation) contributions. This technique opens the route for modifying the phase of individual attosecond pulses and for the coherent synthesis of XUV continua from multicycle driving laser pulses without the need of an isolated attosecond burst.Comment: 14 pages, 5 figures. Submitted to Physical Review

Male sex is an independent risk factor for poor neurodevelopmental outcome at 20 months' corrected age, in human milk-fed very preterm infants: a cohort study

To determine associations between sex and neurodevelopmental outcomes in human milk-fed very preterm infants, adjusted to early measured nutrient intakes and other neonatal cofactors.info:eu-repo/semantics/publishedVersio

Detecting New Physics from CP-violating phase measurements in B decays

The standard CKM model can be tested and New Physics detected using only CP-violating phase measurements in B decays. This requires the measurement of a phase factor which is small in the Standard Model, in addition to the usual large phases $\beta$ and $\gamma$. We also point out that identifying violations of the unitarity of the CKM matrix is rather difficult, and cannot be done with phase measurements alone.Comment: 6 pages, Latex, no figure

Negative Hopping Magnetoresistance and Dimensional Crossover in Lightly Doped Cuprate Superconductors

We show that, due to the weak ferromagnetism of La$_{2-x}$Sr$_x$CuO$_4$, an external magnetic field leads to a dimensional crossover 2D $\to$ 3D for the in-plane transport. The crossover results in an increase of the hole's localization length and hence in a dramatic negative magnetoresistance in the variable range hopping regime. This mechanism quantitatively explains puzzling experimental data on the negative magnetoresistance in the N\'eel phase of La$_{2-x}$Sr$_x$CuO$_4$.Comment: 6 pages, 3 figures; published versio