Sagnac effect in a chain of mesoscopic quantum rings

The ability to interferometrically detect inertial rotations via the Sagnac effect has been a strong stimulus for the development of atom interferometry because of the potential 10^{10} enhancement of the rotational phase shift in comparison to optical Sagnac gyroscopes. Here we analyze ballistic transport of matter waves in a one dimensional chain of N coherently coupled quantum rings in the presence of a rotation of angular frequency, \Omega. We show that the transmission probability, T, exhibits zero transmission stop gaps as a function of the rotation rate interspersed with regions of rapidly oscillating finite transmission. With increasing N, the transition from zero transmission to the oscillatory regime becomes an increasingly sharp function of \Omega with a slope \partialT/\partial \Omega N^2. The steepness of this slope dramatically enhances the response to rotations in comparison to conventional single ring interferometers such as the Mach-Zehnder and leads to a phase sensitivity well below the standard quantum limit

Hammett Correlations of Carbonyl 13C Chemical Shifts in a Series of N-(4-Substituted Phenyl)-6-Chloro-5-Fluoronicotinamides

A series of nine N-(4-substituted phenyl)-6-chloro-5- fluoronicotinamides exhibited excellent correlations of their carbonyl 13C shifts (5CO,ppm as measured in DMSO) with the standard Hammett substituent constants (c?R) of the substituent inthe 4-position. The linear relationship was defined by the equation 8CO ¦ 1.2

Relation des cours de Prusse et de Hanovre

RELATION DES COURS DE PRUSSE ET DE HANOVRE Relation des cours de Prusse et de Hanovre / Toland, John (Public Domain) ( - ) Title page ( - ) Einleitung ( - ) Abbildung: La Ville de Berlin ( - ) Relation Envoyée de Berlin à la Haye le 18. d' Août N. S. 1702 (1) Abbildung: Veue du grand Pont, du Palais des Ecuries & de la Cathedrale ( - ) Abbildung: Veùe du Jardin Royal à Berlin, en regardant vers l'orangerie ( - ) Abbildung: Potsdam, veu de l'autre coté de la Riviere ( - ) Abbildung: Veue de Kapput ( - ) Abbildung: Veue de Keppenich ( - ) Abbildung: Fredericsdaal ( - ) Abbildung: Lutzebourg. à present, Charlottenbourg ( - ) Relation de la Cour de Hanovre, envoȉée de Berlin à la Haye le 23. Septembre N. S. 1702 (78) Annotation (139) Le Serment d'Abjuration (142) Clause qui déclare coupable de Haute Trahison ... (146) Adresse du Parlament, ... (149) Advertising ( - ) Abbildung: Orangebourg ( - ) Abbildung: Potstam, du cote de l'Entree ( -

Genetic Evaluation of the Nine Component Features of Hip Score in UK Labrador Retrievers

The aim of this study was to explore the genetic relationship between the nine component traits comprising the British Veterinary Association (BVA) total hip score in UK registered Labrador Retrievers. Data consisted of 11,928 single records of trait scores of dogs aged between one and four years (365–1459 days) old, from radiographs evaluated between 2000 and 2007. Pedigree information was provided by the UK Kennel Club. The distribution of trait scores showed only small numbers of dogs with visible malformation in the six traits that were scored according to the severity of osteoarthritis. Linear mixed models were fitted using ASREML. Estimates of heritability ranged from 0.15 to 0.38, and litter effects from 0.04 to 0.10. Genetic correlations between all nine traits were extremely high ranging from 0.71 to 1.0, implying considerable genetic similarity. The decomposition demonstrated that aggregate scores of only the 3 traits indicative of laxity in one year old dogs was predictive of the phenotype of the remaining six scored on osteoarthritic severity in dogs at 4+ years old. The application of selection index methodology in selecting against hip dysplasia using the trait scores was explored and potential improvements in accuracy (directly related to response to selection) of over 10% are reported compared to the current total hip score. This study demonstrates that traits descriptive of joint laxity are valuable early-age predictors of osteoarthritis and shows that there is scope for improvement in the way data from the UK hip score scheme are used for selection against hip dysplasia in Labradors. This was verified via use of selection indices, which identified substantial increases in accuracy, not only via optimum coefficients, but also through an easily applicable aggregate of scores of just two or three traits only compared with the current total hip score

Standing waves on infinite depth

7 pagesThe two-dimensional standing wave problem, for an infinitely deep layer, is considered, based on the formulation of the problem as a second order non local PDE. Despite the presence of infinitely many resonances in the linearized problem, we use the Nash–Moser implicit function theorem to prove the existence of standing waves corresponding to values of the amplitude having 0 as a Lebesgue point

Modelling nonlinear hydroelastic waves

This paper uses the special Cosserat theory of hyperelastic shells satisfying Kirchoff’s hypothesis and irrotational flow theory to model the interaction between a heavy thin elastic sheet and an infinite ocean beneath it. From a general discussion of three-dimensional motions, involving an Eulerian description of the flow and a Lagrangian description of the elastic sheet, a special case of two-dimensional travelling waves with two wave speed parameters, one for the sheet and another for the fluid, is developed only in terms of Eulerian coordinates.</jats:p