Molecular predissociation resonances below an energy level crossing
We study the resonances of $2\times 2$ systems of one dimensional Schrodinger operators which are related to the mathematical theory of molecular predissociation. We determine the precise positions of the resonances with real parts below the energy where bonding and anti-bonding potentials intersect transversally. In particular, we find that imaginary parts (widths) of the resonances are exponentially small and that the indices are determined by Agmon distances for the minimum of two potentials.
Widths of highly excited resonances in multidimensional molecular predissociation
We investigate the simple resonances of a 2 by 2 matrix of n-dimensional semiclassical Shrodinger operators that interact through a first order differential operator. We assume that one of the two (analytic) potentials admits a well with non empty interior, while the other one is non trapping and creates a barrier between the well and infinity. Under a condition on the resonant state inside the well, we find an optimal lower bound on the width of the resonance. The method of proof relies on Carleman estimates, microlocal propagation of the microsupport, and a refined study of a non involutive double characteristic problem in the framework of Sjostrand's analytic microlocal theory.
Reference values for some haematological, haematochemical, and electrophoretic parameters in the Girgentana goat
The purpose of this study was to determine haematolog ical, haematochemical, and electrophoretic reference values for the Girgentana goat in order to form a basis for clinical interpretation. The study included 348 female Girgentana goats aged from 1 to 6 years. The animals were divided into 3 groups: goats aged 1-2 years (group A), goats aged 3-4 years (group B), and goats aged 5-6 years (group C). Blood samples were collected from each animal every morning at the same time (0800) by means of jugular venipuncture, and red blood cell (RBC), white blood cell (WBC), neutrophil (NEU), lymphocyte (LYM), monocyte (MONO), eosinophil (EOS), and basophil (BASO) counts, and haemoglobin (Hb), packed cell volume percent (PCV), mean corpuscular volume (MCV), mean corpuscular haemoglobin (MCH), mean corpuscular haemoglobin concentration (MCHC), and red cell distribution width (RDW) were recorded. Additionally, the concentration of some haematochemical parameters, including alanine-aminotransferase (ALT), aspartate-aminotransferase (AST), γ-glutamine-transferase (γ-GT), creatinine, β-hydroxybutyrate, urea, non- esterified fatty acids (NEFA), potassium, sodium, and chloride, and the electrophoretic profile (albumin, α1-globulins, α2-globulins, β-globulins, γ-globulins, total proteins and albumin:globulins ratio) were determined. Statistical analysis (one-way analysis of variance (ANOVA)), followed by Bonferroni's test, showed that there were significant differences only in RBC, MCV, EOS, ALT, AST, creatinine, γ-GT, sodium, urea, NEFA, γ-globulins, and the albumin:globulins ratio (P < 0.05 was considered statistically significant). The values determined in the present study contribute to the knowledge of the reference ranges for the Girgentana goat and can be used for monitoring health and disease diagnosis.