Tunneling Times with Covariant Measurements

We consider the time delay of massive, non-relativistic, one-dimensional particles due to a tunneling potential. In this setting the well-known Hartman effect asserts that often the sub-ensemble of particles going through the tunnel seems to cross the tunnel region instantaneously. An obstacle to the utilization of this effect for getting faster signals is the exponential damping by the tunnel, so there seems to be a trade-off between speedup and intensity. In this paper we prove that this trade-off is never in favor of faster signals: the probability for a signal to reach its destination before some deadline is always reduced by the tunnel, for arbitrary incoming states, arbitrary positive and compactly supported tunnel potentials, and arbitrary detectors. More specifically, we show this for several different ways to define “the same incoming state” and “the same detector” when comparing the settings with and without tunnel potential. The arrival time measurements are expressed in the time-covariant approach, but we also allow the detection to be a localization measurement at a later time. Dedicated to Pekka Lahti on the occasion of his 60th birthday.     

A (2+ϵ)-approximation for precedence constrained single machine scheduling with release dates and total weighted completion time objective

We give a $(2+?)$-approximation algorithm for minimizing total weighted completion time on a single machine under release time and precedence constraints. This settles a recent conjecture on the approximability of this scheduling problem (Skutella, 2016).     

Local time and Tanaka formula for a multitype Dawson–Watanabe superprocess

In [3] Dynkin defined the local time of a continuous superprocess as a stochastic integral and gave a criterion for existence of local time. Here we prove that the conditions in Dynkin's existence criterion are satisfied by the multitype Dawson–Watanabe superprocess, and give a Tanaka formula‐like representation of the local time which is used to show that the occupation measure of the multitype superprocess is absolutely continuous with respect to an appropriate reference measure, and that the corresponding density coincides a.s. with the local time. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Bianchi Type-III Cosmic Strings and Domain Walls Cosmological Model in General Relativity

Bianchi type-III space time is considered in the presence of cosmic strings and thick domain walls source in the frame work of general relativity. Exact cosmological models using various cases of ρ=α λ and p=γ ρ are presented. It is observed that the behavior of these models (with cosmic strings and domain walls), based on their physical and kinematical properties, is found to be identical.     

DYNAMICS OF A NONLINEAR NON-AUTONOMOUS n-PATCHES PREDATOR-PREY DISPERSION-DELAY MODEL

In this paper,a nonlinear nonautonomous predator-prey dispersion model with continuous distributed delay is studied,where all parameters are time-dependent.In this system consisting of n-patches the prey species can disperse among n-patches,but the predator species is confined to one patch and cannot disperse.It is proved that the system is uniformly persistent under any dispersion rate effect.Furthermore,some sufficient conditions are established for the existence of a unique almost periodic solution of the system.The example shows that the criteria in the paper are new,general and easily verifiable.     

Proper-Time Classical Electrodynamics

We construct a generalization of Maxwell's equations associated with the proper-time of the source which accounts for radiation reaction without any assumptions concerning the nature of the source. The theory leads to a new invariance group, related to the Lorentz group, which leaves the proper-time of the source fixed for all observers.     

2MeV注入器脉冲电子束时间分辨能谱诊断研究

介绍了利用磁分析器和电子束产生的契伦科夫辐射光诊断直线感应加速器脉冲电子束时间分辨能谱的原理、方法及诊断系统,对中物院2MeV感应叠加型注入器的2kA强流脉冲电子束时间分辨能谱进行实验诊断,并与二极管电压进行对比分析。测得能量约2.2MeV,60ns内最大能量变化为4%。     

Identification of proteinaceous binders used in artworks by MALDI-TOF mass spectrometry

Proper identification of proteinaceous binders in artworks is essential for specification of the painting technique and thus also for selection of the restoration method; moreover, it might be helpful for the authentication of the artwork. This paper is concerned with the optimisation of analysis of the proteinaceous binders contained in the colour layers of artworks. Within this study, we worked out a method for the preparation and analysis of solid samples from artworks using tryptic cleavage and subsequent analysis of the acquired peptide mixture by matrix-assisted laser desorption/ionisation time of flight mass spectrometry. To make this approach rational and efficient, we created a database of commonly used binders (egg yolk, egg white, casein, milk, curd, whey, gelatine, and various types of animal glues); certain peaks in the mass spectra of these binders, formed by rich protein mixtures, were matched to amino acid sequences of the individual proteins that were found in the Internet database ExPASy; their cleavage was simulated by the program Mass-2.0-alpha4. The method developed was tested on model samples of ground layers prepared by an independent laboratory and then successfully applied to a real sample originating from a painting by Edvard Munch.