Asymptotic near optimality of the bisection method

Journal ArticleThe bisection method is shown to possess the nearly best rate of convergence for infinitely differentiable functions having zeros of arbitrary multiplicity. If the multiplicity of zeros is bounded, methods are known which have asymptotically at least quadratic rate of convergence

Image states in metal clusters

The existence of image states in small clusters is shown, using a quantum-mechanical many-body approach. We present image state energies and wave functions for spherical jellium clusters up to 186 atoms, calculated in the GW approximation, where G is the Green's function and W is the dynamically screened Coulomb interaction, which by construction contains the dynamic long-range correlation effects that give rise to image effects. In addition, we find that image states are also subject to quantum confinement. To extrapolate our investigations to clusters in the mesoscopic size range, we propose a semiclassical model potential, which we test against our full GW results

Modified Gravity and Dark Energy models Beyond w(z)w(z)CDM Testable by LSST

One of the main science goals of the Large Synoptic Survey Telescope (LSST) is to uncover the nature of cosmic acceleration. In the base analysis, possible deviations from the Lambda-Cold-Dark-Matter ($\Lambda$CDM) background evolution will be probed by fitting a $w(z)$CDM model, which allows for a redshift-dependent dark energy equation of state with $w(z)$, within general relativity (GR). A rich array of other phenomena can arise due to deviations from the standard $\Lambda$CDM+GR model though, including modifications to the growth rate of structure and lensing, and novel screening effects on non-linear scales. Concrete physical models are needed to provide consistent predictions for these (potentially small) effects, to give us the best chance of detecting them and separating them from astrophysical systematics. A complex plethora of possible models has been constructed over the past few decades, with none emerging as a particular favorite. This document prioritizes a subset of these models along with rationales for further study and inclusion into the LSST Dark Energy Science Collaboration (DESC) data analysis pipelines, based on their observational viability, theoretical plausibility, and level of theoretical development. We provide references and theoretical expressions to aid the integration of these models into DESC software and simulations, and give justifications for why other models were not prioritized. While DESC efforts are free to pursue other models, we provide here guidelines on which theories appear to have higher priority for collaboration efforts due to their perceived promise and greater instructional value.Comment: 61 pages. Some acknowledgments and references added. This is version-1.1 of an internal collaboration document of LSST-DESC that is being made public and is not planned for submission to a journa

Low Force Icy Regolith Penetration Technology

Recent data from the Moon, including LCROSS data, indicate large quantities of water ice and other volatiles frozen into the soil in the permanently shadowed craters near the poles. If verified and exploited, these volatiles will revolutionize spaceflight as an inexpensive source of propellants and other consumables outside Earth's gravity well. This report discusses a preliminary investigation of a method to insert a sensor through such a soiVice mixture to verify the presence, nature, and concentration of the ice. It uses percussion to deliver mechanical energy into the frozen mixture, breaking up the ice and decompacting the soil so that only low reaction forces are required from a rover or spacecraft to push the sensor downward. The tests demonstrate that this method may be ideal for a small platform in lunar gravity. However, there are some cases where the system may not be able to penetrate the icy soil, and there is some risk ofthe sensor becoming stuck so that it cannot be retracted, so further work is needed. A companion project (ISDS for Water Detection on the Lunar Surface) has performed preliminary investigation of a dielectric/thermal sensor for use with this system

Future engineers: leading the charge in the service sector

The demand for engineers to support the service sector is growing, and academic programs are needed to prepare students for these careers. This need was recognized at Michigan Tech and led to a dynamic effort by faculty members from different disciplines to develop a curriculum for Service Systems Engineering that integrates business, engineering, and the sciences and serves as a model for other universities. This is an exciting degree program that takes curriculum development beyond its current boundaries and branches into a new direction. In this paper, efforts related to the development of the curriculum will be described, as will the challenges faced by the project team to facilitate interdisciplinary education. The successes to date will be highlighted along with the lessons learned, and collaboration experiences with other university faculty members on curriculum development

New particle-hole symmetries and the extended interacting boson model

We describe shape coexistence and intruder many-particle-hole (mp-nh)excitations in the extended interacting boson model EIBM and EIBM-2,combining both the particle-hole and the charge degree of freedom.Besides the concept of I-spin multiplets and subsequently $SU(4)$ multiplets, we touch upon the existence of particle-hole mixed symmetry states. We furthermore describe regular and intrudermany-particle-hole excitations in one nucleus on an equal footing, creating (annihilating) particle-hole pairs using the K-spin operatorand studying possible mixing between these states. As a limiting case,we treat the coupling of two IBM-1 Hamiltonians, each decribing the regular and intruder excitations respectively, in particular lookingat the $U(5)$-$SU(3)$ dynamical symmetry coupling. We apply such coupling scheme to the Po isotopes

A model curriculum for service systems engineering using a Delphi technique

Over the past 100 years, the US economy has evolved from one based primarily in the goods-producing sector (agriculture, manufacturing, and mining) to the service sector. Today the service sector accounts for more than 80% of US Gross Domestic Product and more than 85% of the workforce. In fact, today many engineering graduates go on to work in service sector industries instead of more traditional manufacturing industries. In part, the service sector may be such a large segment of our economy because its processes are highly inefficient. Engineering problem-solving and talent, if properly applied to processes in the service sector, could serve to significantly increase efficiency and reduce costs, similar to advances made in the goods-producing sector over the past century. In 2003 Michigan Tech received a planning grant from the National Science Foundation to define curricular characteristics for Service Sector Engineering through a Delphi Study. Armed with these characteristics, a workshop was convened at Michigan Tech in August 2006 to define a Service Systems Engineering curriculum. Workshop participants consisted of faculty from several universities as well as industry leaders interested in engineering for the service sector. An additional grant from NSF’s Course Curriculum and Laboratory Improvement (CCLI) program was recently awarded for the implementation of this curriculum

Shape coexistence in atomic nuclei and its spectroscopic fingerprints

In the present discussion we concentrate on shape coexistence asobtained within a deformed single-particle field as well as startingfrom the spherical shell-model, incorporating deformationeffects via the residual proton-neutron quadrupole interaction. Wediscuss in particular the appearance of shape coexisting phenomena inthe Pb region. In a second part then, we present a number ofexperimental fingerprints that allow to recognize the appearance ofshape coexisting phenomena or of shape mixing through the use ofselective experiments (e.g. band structure, spectroscopic factors,static moments, E0 properties and alpha-decay)