Extended coupled SUSY, pseudo-bosons and weak squeezed states

In this paper we consider squares of pseudo-bosonic ladder operators and we use them to produce explicit examples of eigenstates of certain operators satisfying a deformed $\mathfrak{su}(1,1)$ Lie algebra. We show how these eigenstates may, or may not, be square-integrable. In both cases, a notion of biorthonormality can be introduced and analyzed. Some examples are discussed in details. We also propose some preliminary results on bi-squeezed states arising from our operators.Comment: arXiv admin note: text overlap with arXiv:2102.1173

Economia, organizzazioni criminali e corruzione

L\u2019economia \ue8 la scienza che osserva il comportamento umano di fronte alla scarsit\ue0; e la corruzione \ue8 assai spesso la strada pi\uf9 redditizia per procurarsi risorse scarse. L\u2019organizzazione \ue8 la scienza che studia le forme razionali di divisione e coordinamento del lavoro umano; e la corruzione ha bisogno del supporto di forme efficaci di organizzazione del lavoro umano, legale o criminale che sia, per essere realizzata. L\u2019analisi dei saggi contenuti nel volume sostiene la tesi che tra il fenomeno della corruzione e i fenome- ni economici e organizzativi ci siano relazioni intense. Gli autori dei con- tributi sono economisti, sociologi, aziendalisti, giuristi, storici e statistici. Il lettore pertanto potr\ue0 farsi un\u2019idea del fenomeno della corruzione attingen- do a prospettive di analisi assai diverse tra di loro

Translation of the FMR1 mRNA is not influenced by AGG interruptions

The fragile X mental retardation 1 (FMR1) gene contains a CGG-repeat element within its 5′ untranslated region (5′UTR) which, for alleles with more than ∼40 repeats, increasingly affects both transcription (up-regulation) and translation (inhibition) of the repeat-containing RNA with increasing CGG-repeat length. Translational inhibition is thought to be due to impaired ribosomal scanning through the CGG-repeat region, which is postulated to form highly stable secondary/tertiary structure. One striking difference between alleles in the premutation range (55–200 CGG repeats) and those in the normal range (<∼40 repeats) is the reduced number/absence of ‘expansion stabilizing’ AGG interruptions in the larger alleles. Such interruptions, which generally occur every 9–11 repeats in normal alleles, are thought to disrupt the extended CGG-repeat hairpin structure, thus facilitating translational initiation. To test this hypothesis, we have measured the translational efficiency of CGG-repeat mRNAs with 0–2 AGG interruptions, both in vitro (rabbit reticulocyte lysates) and in cell culture (HEK-293 cells). We demonstrate that the AGG interruptions have no detectable influence on translational efficiency in either a cell-free system or cell culture, indicating that any AGG-repeat-induced alterations in secondary/tertiary structure, if present, do not involve the rate-limiting step(s) in translational initiation

Propagation of plane and cylindrical waves in turbulent superfluid helium

In this paper, the equations that govern the propagation of plane and cylindrical waves in turbulent superfluid solutions in some simplified cases are determined

Effective thermal conductivity of superfluid helium in short channels

The aim of this paper is to explore how the effective thermal conductivity of small channels filled with superfluid helium II in the laminar regime separates from the classical Landau expression as the channel becomes shorter. The Landau expression is valid for fully developed Poiseuille flow for the normal component, and therefore is suitable for long channels. By taking into account entrance effects, we show a transition from a heat flux proportional to 06T /l (Landau regime) for long channels, to a heat flux proportional to l^(1/3) ( 06T /l)^(2/3) for short channels

Second sound near lambda transition in presence of quantum vortices

In this paper, temperature waves (also known as second sound) are consid- ered, with their respective coupling with waves in the order parameter describing the transition from normal phase to superfluid phase, and with waves in the vortex length density. We analyze the coupling between these three kinds of waves and explore its relevance in situations not far from the lambda transition. In particular, the expres- sions for the second sound speed and second sound attenuation are explicitly obtained within some approximations, showing the influence of the order parameter and the vortex length density, which is decisive close to the transition