Squeezed States and Hermite polynomials in a Complex Variable

Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related to the Hermite polynomials in a complex variable which are orthogonal with respect to a non-rotationally invariant measure. We investigate relations between these coherent states and obtain the relationship between them and the squeezed states of quantum optics. We also obtain a second realization of the canonical coherent states in the Bargmann space of analytic functions, in terms of a squeezed basis. All this is done in the flavor of the classical approach of V. Bargmann [Commun. Pur. Appl. Math. 14, 187 (1961)].Comment: 15 page

Leucin-enkefalin u pankreasu ovaca ima zajedničku izražajnost s tvari P, galaninom i somatostatinom

Leucine-enkephalin (Leu-Enk) is an endogenous opioid peptide that binds to opioid receptors. Leu-Enk is widely distributed in the central and peripheral nervous system. The aim of the present immunofluorescence study was to examine the distribution of Leu-Enk-immunoreactive (IR) neuronal elements in the ovine pancreas. Using double immunohistochemical staining, the co-localization of Leu-Enk with galanin, somatostatin and substance P was also studied. In the intrapancreatic ganglia, immunoreactivity to Leu-Enk was found in 64.9 ± 1.7% of neurons. Small arterioles and the ductal system were innervated by numerous Leu-Enk-IR nerve terminals. Moderate Leu-Enk-IR nerve fibres surrounded the islets of Langerhans but none of them penetrated into spaces between endocrine cells. In 66.7 ± 4.3% of Leu-Enk-immunoreactive intrapancreatic neurons, expression of galanin was found. A statistically smaller subpopulation of Leu-Enk-IR intrapancreatic neurons (37.4 ± 6.2%) exhibited immunoreactivity to SP. The expression of somatostatin was detected in the relatively smallest group (21.2 ± 3.8%) of Leu-Enk-positive intrapancreatic neurons. Co-expression of Leu-Enk and SP was detected in nerve terminals encircling the pancreatic small arterioles, connective tissue and ducts. Leu-Enk-positive nerve fibres around the islets of Langerhans were not immunoreactive for SP. None of the Leu-ENK-positive nerve fibres around the islets of Langerhans co-stored somatostatin. In general, there was also no co-localization between Leu-Enk and somatostatin in nerve terminals supplying small arterioles and veins. Co-expression of GAL and Leu-Enk was observed well in nerve fibres encircling the blood vessels, but not in nerve fibres of the connective tissue. We conclude that abundant immunoreactivity to Leu-Enk in the ovine pancreas and the co-localization of Leu-Enk with other regulatory neuropeptides may reflect the possible involvement of Leu-Enk as a regulator of the exocrine and endocrine pancreatic functions, as well as in regulation of pancreatic blood flow.Leucin-enkefalin (Leu-Enk) je endogeni opioidni peptid koji se veže na opioidne receptore. Leu-Enk je široko rasprostranjen u središnjem i perifernom živčanom sustavu. Cilj ovog istraživanja bio je pomoću imunofluorescencije utvrditi raspodjelu Leu-Enk-imunoreaktivnih (IR) neuronskih elemenata u pankreasu ovaca. Primjenom dvostrukog imunohistokemijskog bojenja, istražena je i zajednička lokalizacija Leu-Enk s galaninom, somatostatinom i tvari P. U intrapankreasnim ganglijima imunoreaktivnost prema Leu-Enku pronađena je u 64,9 ± 1,7% neurona. Male arteriole i kanalni sustav bili su inervirani mnogim Leu-Enk-IR živčanim završetcima. Umjerena Leu-Enk-IR živčana vlakna okruživala su Langerhansove otočiće, ali nijedno od njih nije prodrlo u prostore između endokrinih stanica. U 66,7 ± 4,3% Leu-Enk-imunoreaktivnih intrapankreasnih neurona otkrivena je ekspresija galanina. Statistički niža subpopulacija Leu-Enk-IR intrapankreasnih neurona (37,4 ± 6,2%) pokazala je imunoreaktivnost prema SP. Izražajnost somatostatina otkrivena je u relativno najmanjoj skupini (21,2 ± 3,8%) Leu-Enk-pozitivnih intrapankreasnih neurona. Zajednička izražajnost Leu-Enk i SP otkrivena je u živčanim završetcima koji okružuju male arteriole pankreasa, vezivno tkivo i kanale. Leu-Enk-pozitivna vlakna živaca oko Langerhansovih otočića nisu bila imunoreaktivna na SP. Nijedno od Leu-Enk-pozitivnih živčanih vlakana oko Langerhansovih otočića nije bilo zajednički lokalizirano sa somatostatin-imunoreaktivnim živčanim završetcima. Općenito, nije bilo zajedničke lokalizacije između Leu-Enka i somatostatin živčanih završetaka koji opskrbljuju male arteriole i vene. Zajednička izražajnost GAL i Leu-Enk dobro je vidljiva u živčanim vlaknima koja okružuju krvne žile, ali ne i u živčanim vlaknima vezivnog tkiva. Zaključeno je da obilna imunoreaktivnost Leu-Enk u pankreasu ovaca, te njegova zajednička lokalizacija s drugim regulatornim neuropeptidima, može odražavati moguću uključenost Leu-Enk u regulaciju egzokrine i endokrine funkcije pankreasa odnosno u regulaciju optjecaja krvi u pankreasu

Exact and explicit probability densities for one-sided Levy stable distributions

We study functions g_{\alpha}(x) which are one-sided, heavy-tailed Levy stable probability distributions of index \alpha, 0< \alpha <1, of fundamental importance in random systems, for anomalous diffusion and fractional kinetics. We furnish exact and explicit expression for g_{\alpha}(x), 0 \leq x < \infty, satisfying \int_{0}^{\infty} exp(-p x) g_{\alpha}(x) dx = exp(-p^{\alpha}), p>0, for all \alpha = l/k < 1, with k and l positive integers. We reproduce all the known results given by k\leq 4 and present many new exact solutions for k > 4, all expressed in terms of known functions. This will allow a 'fine-tuning' of \alpha in order to adapt g_{\alpha}(x) to a given experimental situation.Comment: 4 pages, 3 figures and 1 tabl

Commensurate anisotropic oscillator, SU(2) coherent states and the classical limit

We demonstrate a formally exact quantum-classical correspondence between the stationary coherent states associated with the commensurate anisotropic two-dimensional harmonic oscillator and the classical Lissajous orbits. Our derivation draws upon earlier work of Louck et al [1973 \textit {J. Math. Phys.} \textbf {14} 692] wherein they have provided a non-bijective canonical transformation that maps, within a degenerate eigenspace, the commensurate anisotropic oscillator on to the isotropic oscillator. This mapping leads, in a natural manner, to a Schwinger realization of SU(2) in terms of the canonically transformed creation and annihilation operators. Through the corresponding coherent states built over a degenerate eigenspace, we directly effect the classical limit via the expectation values of the underlying generators. Our work completely accounts for the fact that the SU(2) coherent state in general corresponds to an ensemble of Lissajous orbits.Comment: 11 pages, Latex2e, iopart.cls, replaced with published versio

Synteza celulaz w hodowlach bakterii Paenibacillus sp. wyizolowanych z ryzosfery

 gleby ryzosferowej jabłoni, wiśni i truskawki nawożonej kompostami przygotowanymi na bazie miału z węgla brunatnego z dodatkiem grzybni Basidiomycota, wyizolowano sześć szczepów bakterii względnie beztlenowych, przetrwalnikujących zdolnych do rozkładu celulozy. Na podstawie morfologii, cech biochemicznych i sekwencji 16S rRNA izolaty sklasyfikowano do gatunków z rodzaju Paenibacillus. W pożywkach wybiórczych z dodatkiem bibuły filtracyjnej (FP) i karboksymetylocelulozy (CMC) badane izolaty syntetyzowały enzymy, które hydrolizują celulozę amorficzną i krystaliczną. Badane izolaty w 14 i 28-dniowych hodowlach w pożywce z karboksymetylocelulzą (CMC) produkowały odpowiednio od 0 mU do 10,87 mU oraz od 10,73 do 21,13 mU CMCazy (karboksymetylocelulazy). Najwyższą aktywność enzymów scukrzających celulozę (FPazy) w pożywce z CMC wykazano w 14-dniowych hodowlach P. lautus EG_11 – 75,6 mU, Paenibacillus sp. EG_17 – 57,6 mU oraz P. woosongensis EG_15 – 38,9 mU. W pożywce z dodatkiem bibuły filtracyjnej (FP), najwyższą produkcję CMCazy i FPazy odnotowano w hodowlach P. lautus EG_11 – odpowiednio 79,85 i 118,83 mU

Status and trends in the structure of Arctic benthic food webs

Ongoing climate warming is causing a dramatic loss of sea ice in the Arctic Ocean, and it is projected that the Arctic Ocean will become seasonally ice-free by 2040. Many studies of local Arctic food webs now exist, and with this review paper we aim to synthesize these into a large-scale assessment of the current status of knowledge on the structure of various Arctic marine food webs and their response to climate change, and to sea-ice retreat in particular. Key drivers of ecosystem change and potential consequences for ecosystem functioning and Arctic marine food webs are identified along the sea-ice gradient, with special emphasis on the following regions: seasonally ice-free Barents and Chukchi seas, loose ice pack zone of the Polar Front and Marginal Ice Zone, and permanently sea-ice covered High Arctic. Finally, we identify knowledge gaps in different Arctic marine food webs and provide recommendations for future studie

T-cell subpopulations αβ and γδ in cord blood of very preterm infants : The influence of intrauterine infection

Open Access: This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are creditedPreterm infants are very susceptible to infections. Immune response mechanisms in this group of patients and factors that influence cord blood mononuclear cell populations remain poorly understood and are considered insufficient. However, competent immune functions of the cord blood mononuclear cells are also described. The aim of this work was to evaluate the T-cell population (CD3+) with its subpopulations bearing T-cell receptor (TCR) αβ or TCR γδ in the cord blood of preterm infants born before 32 weeks of gestation by mothers with or without an intrauterine infection. Being a pilot study, it also aimed at feasibility check and assessment of an expected effect size. The cord blood samples of 46 infants age were subjected to direct immunofluorescent staining with monoclonal antibodies and then analyzed by flow cytometry. The percentage of CD3+ cells in neonates born by mothers with diagnosis of intrauterine infection was significantly lower than in neonates born by mothers without infection (p = 0.005; Mann-Whitney U test). The number of cells did not differ between groups. Infection present in the mother did not have an influence on the TCR αβ or TCR γδ subpopulations. Our study contributes to a better understanding of preterm infants' immune mechanisms, and sets the stage for further investigations.Peer reviewedFinal Published versio

Direct observation of long-lived isomers in 212^{212}Bi

Long-lived isomers in 212Bi have been studied following 238U projectile fragmentation at 670 MeV per nucleon. The fragmentation products were injected as highly charged ions into the GSI storage ring, giving access to masses and half-lives. While the excitation energy of the first isomer of 212Bi was confirmed, the second isomer was observed at 1478(30) keV, in contrast to the previously accepted value of >1910 keV. It was also found to have an extended Lorentz-corrected in-ring halflife >30 min, compared to 7.0(3) min for the neutral atom. Both the energy and half-life differences can be understood as being due a substantial, though previously unrecognised, internal decay branch for neutral atoms. Earlier shell-model calculations are now found to give good agreement with the isomer excitation energy. Furthermore, these and new calculations predict the existence of states at slightly higher energy that could facilitate isomer de-excitation studies.Comment: published in PRL 110, 12250

Levy stable two-sided distributions: exact and explicit densities for asymmetric case

We study the one-dimensional Levy stable density distributions g(alpha, beta; x) for -infty < x < infty, for rational values of index alpha and the asymmetry parameter beta: alpha = l/k and beta = (l - 2r)/k, where l, k and r are positive integers such that 0 < l/k < 1 for 0 <= r <= l and 1 < l/k <= 2 for l-k <= r <= k. We treat both symmetric (beta = 0) and asymmetric (beta neq 0) cases. We furnish exact and explicit forms of g(alpha, beta; x) in terms of known functions for any admissible values of alpha and beta specified by a triple of integers k, l and r. We reproduce all the previously known exact results and we study analytically and graphically many new examples. We point out instances of experimental and statistical data that could be described by our solutions.Comment: 4 pages; 4 figure