Weak commutation relations of unbounded operators and applications

Four possible definitions of the commutation relation [S,T]=\Id of two closable unbounded operators $S,T$ are compared. The {\em weak} sense of this commutator is given in terms of the inner product of the Hilbert space \H where the operators act. Some consequences on the existence of eigenvectors of two number-like operators are derived and the partial O*-algebra generated by $S,T$ is studied. Some applications are also considered.Comment: In press in Journal of Mathematical Physic

Some remarks on quasi-Hermitian operators

A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator. Whereas those metric operators are in general assumed to be bounded, we analyze the structure generated by unbounded metric operators in a Hilbert space. Following our previous work, we introduce several generalizations of the notion of similarity between operators. Then we explore systematically the various types of quasi-Hermitian operators, bounded or not. Finally we discuss their application in the so-called pseudo-Hermitian quantum mechanics.Comment: 18page

New simplified protocols for timed artificial insemination (TAI) in milk-producing donkeys

This study compared the outcome of two new timed artificial insemination (TAI) protocols in a milk-producing donkey farm. Ninety Amiata jennies were inseminated at the moment of ovulation induction with hCG, with fresh-transported semen that had been stored at room temperature from 3 up to 6 h, with an approximate average storage time of 4 h and a half. In both protocols, on Day 0 jennies were treated with alfaprostol (PGF2α), and on Day 7 they were checked by ultrasound (US) and, if in estrus, they were treated in order to induce ovulation and were then artificially inseminated. In the slow-short TAI protocol, jennies not already inseminated were treated again with PGF2α at Day 14. On day 21 US was repeated and estrus jennies were induced to ovulate and inseminated. In the fast-long TAI protocol, US was performed once a week in jennies not already inseminated and if found in estrus, they were induced to ovulate and inseminated, while those not in estrus were treated again with PGF2α. This protocol was repeated for up to nine weeks. The rates of inseminated/treated, pregnant/inseminated and pregnant/treated jennies were 76%, 56% and 43% for the slow-short TAI protocol and 94%, 47% and 44% for the fast-long TAI protocol. The age class and the lactation status of the jennies had no significant effect on synchronization success or final pregnancy rate. This study demonstrates that it is possible to achieve reasonable pregnancy rates through simplified TAI protocols in jennies, reducing animal handling to a minimum

Can the electronic nose diagnose cronic rhinosinusitis? A new experimental study

In otorhinolaryngologist's experience the nasal out-breath of people affected by chronic nasal or paranasal infections may be characterized by peculiar odours. In a previous study we showed that an electronic nose (EN), examining nasal out breath was able to distinguish subjects affected by chronic rhinosinusitis from healthy subjects. The present study is aimed at analysing the intensity and the quality of the odorous components present in the air expired by patients affected by rhinosinusitis, using a new EN based on gas-chromatography and surface acoustic wave analysis. In the gas-chromatographic tracings of the pathologic subjects there were six peaks, which were not present in control group cases. These peaks correspond to odorous components, whose chemical composition ranges from C6 to C14. Peaks obtained were compaired with other tracings revealed from specific bacterial and fungal cultures analyses and we appreciated some analogies

Water use in Citrus: effect on porosity in water retention in a “Latossolo vermelho-escuro” of Northeast of Estado de Sao Paulo

[Abstract] The objective of this research was to study the porosity, bulk density and retention of water of an Oxisol, located in the Northwestern region of São Paulo state, Brazil. The soil was cultivated with Citrus sp., to which green manure was applied between rows for three years. Each of six species of green manure crops (Crotalaria junceaL., Mucunade eringian a Steph. & Bart., Canavalia ensiformis L. DC., Cajanus cajan L., Lablab purpureum L. and Ricinus communis L.) were seeded for three years (1995, 1996 and 1997) between Citrus rows, plus a treatment with a mix of all six species and a control (natural regrowth af vegetation). The experimental design was a randomized complete block design, with four replications for each of the eight treatments. Water retention, microporosity, macroporosity, total porosity and bulk density were analyzed in the beginning (1995) and end (1997) of the experiment, at three depth ranges (0-0.10; 0.10-0.20 and 0.20-0.40m). We concluded that there were statistically significant differences for bulk density, macroporosity, total porosity and retention of water among the different soil depth ranges; there were no significant differences among treatments though