On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum

We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum of H is semibounded and discrete, and the eigenvalues behave as E_n~n^\alpha, with 0<\alpha<1. In particular, the gaps between successive eigenvalues decay as n^{\alpha-1}. V(t) is supposed to be periodic, bounded, continuously differentiable in the strong sense and such that the matrix entries with respect to the spectral decomposition of H obey the estimate |V(t)_{m,n}|0, p>=1 and \gamma=(1-\alpha)/2. We show that the energy diffusion exponent can be arbitrarily small provided p is sufficiently large and \epsilon is small enough. More precisely, for any initial condition \Psi\in Dom(H^{1/2}), the diffusion of energy is bounded from above as _\Psi(t)=O(t^\sigma) where \sigma=\alpha/(2\ceil{p-1}\gamma-1/2). As an application we consider the Hamiltonian H(t)=|p|^\alpha+\epsilon*v(\theta,t) on L^2(S^1,d\theta) which was discussed earlier in the literature by Howland

Adiabatic non-equilibrium steady states in the partition free approach

Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibrium steady state (NESS) by adiabatically turning on an electrical bias between the leads. The main mathematical challenge is to show that certain adiabatic wave operators exist, and to identify their strong limit when the adiabatic parameter tends to zero. Our NESS is different from, though closely related with the NESS provided by the Jak{\v s}i{\'c}-Pillet-Ruelle approach. Thus we partly settle a question asked by Caroli {\it et al} in 1971 regarding the (non)equivalence between the partitioned and partition-free approaches

Embryonic dormancy in seeds of Bactris gasipaes Kunth (peach-palm)

Bactris gasipaes is a domesticated palm whose fruits are of great importance for the Amazonian people and whose heart of palm is also receiving economic interest in other brazilian and Latin America regions. The aim of this study was verify embryonic dormancy and its correlation with first cataphyll emergence in B. gasipaes seeds collected from four plants at Manaus city and four others at Coari city, both in the Amazonas state, Brazil. After extraction and cleaning, some of the seeds (4 replications of 25 per plant) were sown in a seedbed with a sawdust and sand mixture as substrate, and embryos (4 replications of 10 per plant), after extraction, were inoculated into half strength Murashige and Skoog cultures. Were used 100 seeds and 40 embryo per treatment. Whole seed and embryo germination varied between the different source plants and locations, with the greatest difference observed for the emergence of first cataphyll from seeds in the seedbed. For the most part of variables, results of seed and embryo were positively associated, namely, as one went up the other also, and vice versa. These results suggesting that, at least in part, seed dormancy in Bactris gasipaes is associated with embryonic dormancy. © 2017, Associacao Brasileira de Tecnologia de Sementes. All rights reserved

Liver transplantation for patients with human immunodeficiency virus and hepatitis C virus coinfection with special reference to hemophiliac recipients in Japan.

Liver transplantation for patients with hepatitis C virus (HCV) and human immunodeficiency virus (HIV) remains challenging. The advent of highly active antiretroviral therapy (HAART) for HIV has reduced mortality from opportunistic infection related to acquired immunodeficiency syndrome dramatically, while about 50% of patients die of end-stage liver cirrhosis resulting from HCV. In Japan, liver cirrhosis frequently develops after HCV-HIV coinfection resulting from previously transfused infected blood products for hemophilia. The problems of liver transplantation for those patients arise from the need to control calcineurin inhibitor with HAART drugs, the difficulty of using interferon after liver transplantation with HAART, and the need to control intraoperative coagulopathy associated with hemophilia. We review published reports of liver transplantation for these patients in the updated world literature

Krein's formula and one-dimensional multiple-well

AbstractIt is shown that all the discrete eigenvalues of a one-dimensional Schrödinger operator with a multiple well potential possess an asymptotic expansions in power of h̵12 when h̵ → 0. A formula for all the coefficients of these expansions is given. The method uses two main tools: Perturbation by boundary conditions and exponential decay of eigenfunctions which are developed in this article. As a by-product of this work, the exponential localization of eigenvectors when h̵ goes to zero can be proved

DESCRIPTION DES ONDES DE LAMB EN TERMES D'ONDES ÉVANESCENTES ET DE RÉSONANCES

Leaky Lamb modes of an immersed plate are obtained by a direct method using evanescent waves. Results for A1, S1 and S2 waves are presented and compared with these obtained by the phase angular gradient method, which uses the reflection coefficient phase derivative with respect of the incidence angle of an homogeneous wave. The two methods agree and give correct values of wave numbers and celerities of modes.Nous présentons une méthode de calcul direct des modes propres d'une plaque immergée dans un fluide en utilisant la notion d'onde évanescente. Des résultats relatifs aux modes A1, S1 et S2 sont fournis. Ils sont confirmés par ceux obtenus en calculant la dérivée de la phase du coefficient de réflexion d'une onde plane homogène par rapport à l'angle d'incidence

Comment les jeux (sérieux) peuvent-ils aider à tracer le processus d'expertise liée aux avalanches de neige ? Une méthodologie innovante et une application à la gestion des risques routiers

ISSW 2018 International Snow Science Workshop, Innsbruck, AUT, 07-/10/2018 - 12/10/2018International audienceManagement of mountain roads exposed to snow avalanches involves several actors local who have often to take difficult and quick decisions under social, political, economic pressures in a context of imperfect (lacking, incomplete, conflicting or uncertain) information. An innovative serious gaming concept is proposed to both aid, improve and trace decision processes considering influence of information quality on decisions

The shape resonance

SIGLETIB: RN 4586 (143) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman