Geometric Phase and Modulo Relations for Probability Amplitudes as Functions on Complex Parameter Spaces

We investigate general differential relations connecting the respective behavior s of the phase and modulo of probability amplitudes of the form \amp{\psi_f}{\psi}, where $\ket{\psi_f}$ is a fixed state in Hilbert space and $\ket{\psi}$ is a section of a holomorphic line bundle over some complex parameter space. Amplitude functions on such bundles, while not strictly holomorphic, nevertheless satisfy generalized Cauchy-Riemann conditions involving the U(1) Berry-Simon connection on the parameter space. These conditions entail invertible relations between the gradients of the phase and modulo, therefore allowing for the reconstruction of the phase from the modulo (or vice-versa) and other conditions on the behavior of either polar component of the amplitude. As a special case, we consider amplitude functions valued on the space of pure states, the ray space ${\cal R} = {\mathbb C}P^n$, where transition probabilities have a geometric interpretation in terms of geodesic distances as measured with the Fubini-Study metric. In conjunction with the generalized Cauchy-Riemann conditions, this geodesic interpretation leads to additional relations, in particular a novel connection between the modulus of the amplitude and the phase gradient, somewhat reminiscent of the WKB formula. Finally, a connection with geometric phases is established.Comment: 11 pages, 1 figure, revtex

Variation in fine-scale genetic structure and local dispersal patterns between peripheral populations of a South American passerine bird

Indexación: Scopus.The distribution of suitable habitat influences natal and breeding dispersal at small spatial scales, resulting in strong microgeographic genetic structure. Although environmental variation can promote interpopulation differences in dispersal behavior and local spatial patterns, the effects of distinct ecological conditions on within-species variation in dispersal strategies and in fine-scale genetic structure remain poorly understood. We studied local dispersal and fine-scale genetic structure in the thorn-tailed rayadito (Aphrastura spinicauda), a South American bird that breeds along a wide latitudinal gradient. We combine capture-mark-recapture data from eight breeding seasons and molecular genetics to compare two peripheral populations with contrasting environments in Chile: Navarino Island, a continuous and low density habitat, and Fray Jorge National Park, a fragmented, densely populated and more stressful environment. Natal dispersal showed no sex bias in Navarino but was female-biased in the more dense population in Fray Jorge. In the latter, male movements were restricted, and some birds seemed to skip breeding in their first year, suggesting habitat saturation. Breeding dispersal was limited in both populations, with males being more philopatric than females. Spatial genetic autocorrelation analyzes using 13 polymorphic microsatellite loci confirmed the observed dispersal patterns: a fine-scale genetic structure was only detectable for males in Fray Jorge for distances up to 450 m. Furthermore, two-dimensional autocorrelation analyzes and estimates of genetic relatedness indicated that related males tended to be spatially clustered in this population. Our study shows evidence for context-dependent variation in natal dispersal and corresponding local genetic structure in peripheral populations of this bird. It seems likely that the costs of dispersal are higher in the fragmented and higher density environment in Fray Jorge, particularly for males. The observed differences in microgeographic genetic structure for rayaditos might reflect the genetic consequences of population-specific responses to contrasting environmental pressures near the range limits of its distribution.http://onlinelibrary.wiley.com/doi/10.1002/ece3.3342/epd

Description of a new species of \u3ci\u3eOchraethes\u3c/i\u3e Chevrolat, 1860, redescription of \u3ci\u3ePlocaederus mirim\u3c/i\u3e Martins and Monné, 2002, and new geographical records for \u3ci\u3ePlocaederus\u3c/i\u3e Dejean, 1835 (Coleoptera, Cerambycidae, Cerambycinae)

A new Mexican species of Ochraethes Chevrolat, 1860 (Coleoptera, Cerambycidae, Cerambycinae, Clytini) is described: Ochraethes skillmani Wappes, Santos-Silva and Botero. Plocaederus mirim Martins and Monné, 2002 (Cerambycini) is redescribed and its female is figured for the first time. New geographical records in Plocaederus Dejean, 1835 are also provided

Neotropical Acanthoderini (Coleoptera, Cerambycidae, Lamiinae): Synonymies and new status in some genera, new species, transferences and new distributional records

Taxonomic notes are provided in some Acanthoderini genera. Three new species are described: Scythropopsis intricata Santos-Silva, Botero and Wappes from Mexico, Aegomorphus robustus Santos-Silva, Botero and Wappes and Eupromerella boliviana Santos-Silva, Botero and Wappes from Bolivia. The following synonymies are proposed: Psapharochrus Thomson, 1864 as synonym of Aegomorphus Haldeman, 1847; Acanthoderes (Psapharochrus) albomaculatus Fuchs, 1963 and Acanthoderes griseomaculata Zajciw, 1971 as synonyms of Symperasmus alboniger (Bates, 1861); Pteridotelus contaminatus Thomson, 1865 as synonym of Scythropopsis melanostictica (White, 1855); Psapharochrus jameswappesi Tavakilian, 2018 as synonym of Aegomorphus wappesi (Galileo, Martins & Santos-Silva, 2015); and Psapharochrus histrio Casey, 1913 and Psapharochrus guatemalensis Casey, 1913 as synonyms of Aegomorphus circumflexus (Jacquelin du Val, 1857). Acanthoderus circumflexus Jacquelin DuVal, 1857 is proposed as nomen protectum and Acanthocinus rusticus Klug, 1829 as nomen oblitum. Aegomorphus contaminatus (Thomson, 1965) is revalidated. Scythropopsis Thomson, 1864 and Symperasmus Thomson, 1864 are herein elevated to genus rank. The geographical distribution of ten species is expanded and a key to differentiate Acanthoderes, Aegomorphus, Scythropopsis, and Symperasmus is provided

New species and taxonomical notes in Gorybia Pascoe, 1866 (Coleoptera: Cerambycidae: Cerambycinae)

Three new Gorybia Pascoe, 1866 (Coleoptera: Cerambycidae: Cerambycinae: Piezocerini), species from Bolivia are described: G. martinsi Wappes, Botero and Santos-Silva new species; G. galileoae Wappes, Botero and Santos-Silva, new species; and G. clarkeorum Wappes, Botero and Santos-Silva, new species. In addition, G. bispinosa Martins, Galileo and Limeira-de-Oliveira, 2009 is proposed as a synonym of G. castanea (Gounelle, 1909) and G. maculosa Martins, 1976 as a synonym of G. apatheia Martins, 1976

New species and taxonomical notes in Gorybia Pascoe, 1866 (Coleoptera: Cerambycidae: Cerambycinae)

Three new Gorybia Pascoe, 1866 (Coleoptera: Cerambycidae: Cerambycinae: Piezocerini), species from Bolivia are described: G. martinsi Wappes, Botero and Santos-Silva new species; G. galileoae Wappes, Botero and Santos-Silva, new species; and G. clarkeorum Wappes, Botero and Santos-Silva, new species. In addition, G. bispinosa Martins, Galileo and Limeira-de-Oliveira, 2009 is proposed as a synonym of G. castanea (Gounelle, 1909) and G. maculosa Martins, 1976 as a synonym of G. apatheia Martins, 1976

New species of Elaphidiini from Central America (Coleoptera: Cerambycidae: Cerambycinae)

Four new species of Elaphidiini (Coleoptera: Cerambycidae: Cerambycinae) are described: Psyrassa vandenberghei Wappes, Botero and Santos-Silva, from Nicaragua; Psyrassa androwi Wappes, Botero and Santos-Silva, from Belize, Costa Rica, Nicaragua and Panama; Psyrassa vandevenderi Wappes, Botero and Santos-Silva, from Mexico; and Aneflomorpha monzoni Wappes, Botero and Santos-Silva, from Guatemala

New species and taxonomical notes in Gorybia Pascoe, 1866 (Coleoptera: Cerambycidae: Cerambycinae)

Three new Gorybia Pascoe, 1866 (Coleoptera: Cerambycidae: Cerambycinae: Piezocerini), species from Bolivia are described: G. martinsi Wappes, Botero and Santos-Silva new species; G. galileoae Wappes, Botero and Santos-Silva, new species; and G. clarkeorum Wappes, Botero and Santos-Silva, new species. In addition, G. bispinosa Martins, Galileo and Limeira-de-Oliveira, 2009 is proposed as a synonym of G. castanea (Gounelle, 1909) and G. maculosa Martins, 1976 as a synonym of G. apatheia Martins, 1976

Liquid culture for isolating microorganisms with potential to degrade methyl parathion from agricultural soils and organic waste.

The search for microorganisms with high capacity for pesticide degradation is a very interesting attempt to approach bioremediation strategies in order to prevent contamination. This study evaluates the potential of agricultural soils and solid organic waste cultures microbial isolation as a strategy for screening microorganisms with potential for Methyl parathion (MP) degradation. For the study, microbial consortia were recovered from the liquid fraction of suspension cultures of agricultural soils and solid organic waste. Then, the MP degradation ability and its toxic effect on microbial activity were determined during microbial incubations under laboratory controlled conditions. The results showed that it is not possible to recover the active microorganisms that have potential to degrade the MP from the agricultural soils. However, an active consortium that would degrade both MP and its degradation products was isolated from the organic solid waste

Humpback whale, Megaptera novaeangliae, song during the breeding season in the Gulf of Tribugá, Colombian Pacific

A key feature of humpback whale behavior, documented primarily on the breeding grounds, is the repertoire of the males’ song. Song is made up of single units combined together into phrases, which are repeated to make up themes. A song consists of several themes sung in succession. This study qualitatively investigates the presence and structure of song recorded in the Gulf of Tribugá in the Colombian Pacific. Data were collected between June and September 201 3, from which approximately 4 hours and 30 minutes of song were analyzed from five individual whales. Three distinct themes, always sung in the same order (theme 1 -theme 2- theme 3) were identified. Theme 1 was the most predominant theme overall, and was present in each song session that was analyzed. The structure of each theme is described with accompanying spectrograms, and specific acoustic parameters further illustrate theme progression and characterize differences between whales. This study serves as the first published descriptive analysis of the song of stock G in this area, and suggestions are made for future directions of investigation. Research on humpback song is used as a part of the overall efforts of Macuáticos Colombia Foundation to educate the communities of the Gulf of Tribugá about the importance of conservation, and to advocate for stricter guidelines for safe whale-watching practices.RÉSUMÉLes baleines à bosse ont été observées dans le monde entier et elles migrent chaque année entre leurs zones de nourrissage dans les latitudes élevées et les aires de reproduction aux latitudes basses. Le chant des baleines à bosse est l’un des comportements lié à l’accouplement qui a été documenté sur les aires de reproduction. Ce chant est composé d'unités simples combinées dans des phrases et qui sont répétées pour composer des thèmes. Les chants sont composés de plusieurs thèmes et sont principalement émis par les mâles. L'étude actuelle a porté sur la présence et la structure du chant des baleines à bosse du G-stock enregistré dans le golfe de Tribugá dans le Pacifique colombien. Les données ont été recueillies entre juin et septembre 201 3 à l'aide d'un hydrophone SQ26-08 au cours d’excursions en bateau qui se sont déroulées 3 fois par semaine. La structure du chant a été codée en utilisant Raven Pro 1 .4. Environ 4 heures et 30 minutes de chant ont été analysées et les chercheurs ont identifié trois thèmes distincts qui ont toujours été entendus dans le même ordre. Le thème 1 dominait dans tous les enregistrements et était composé de répétitions de légères variations de l'expression ‘ABABABAA’. Le thème 2 était composé de répétitions des unités ‘F’ et ‘Bl’, avec des variations de la phrase de multiples unités répétées dans une rangée. Le thème 3 était composé de phrases répétées d'une unité longue ‘upsweep’ tonale 'LU' , suivie par une unité courte ‘upsweep’ tonale ‘SU’, parfois avec une unité ‘downsweep’ dans le motif. L'unité ‘S’ a été entendue pendant les transitions du thème 3 au thème 1 . Le thème 1 a été entendu beaucoup plus fréquemment que les autres thèmes et le thème 3 était le moins fréquemment enregistré. La structure changeante de chaque thème a été décrite avec des spectrogrammes d'accompagnement et les paramètres acoustiques ont été utilisés pour différencier les unités. Cette étude est la première analyse descriptive du chant du stock G dans ce domaine et des suggestions sont proposées pour les orientations futures de l'étude. Les enregistrements sonores ont été utilisés pour soutenir les efforts déployés par la Fondation Macuáticos Colombie pour sensibiliser éduquer les communautés du golfe de Tribugá sur l' importance de la conservation et pour renforcer les directives portant sur les pratiques sécurisées d’observation des baleines et de la pêche