Coulomb effects in semiconductor quantum dots

Coulomb correlations in the optical spectra of semiconductor quantum dots are investigated using a full-diagonalization approach. The resulting multi-exciton spectra are discussed in terms of the symmetry of the involved states. Characteristic features of the spectra like the nearly equidistantly spaced s-shell emission lines and the approximately constant p-shell transition energies are explained using simplified Hamiltonians that are derived taking into account the relative importance of various interaction contributions. Comparisons with previous results in the literature and their interpretation are made.Comment: 7 pages, 2 figure

On the identification of Wiener-Hopf factors

This note is concerned with the identification of the Wiener-Hopf factors of a function $1-f$, where $f$ generates an aperiodic distribution on the integers with a negative mean. The general and rational cases are addressed. We give a concise summary of the main practical facts needed for calculations involving the Wiener-Hopf factors. The basic facts are cited from the literature, but a few aspects are briefly proven here

Signatures of hermitian forms and the Knebusch Trace Formula

Signatures of quadratic forms have been generalized to hermitian forms over algebras with involution. In the literature this is done via Morita theory, which causes sign ambiguities in certain cases. In this paper, a hermitian version of the Knebusch Trace Formula is established and used as a main tool to resolve these ambiguities. The last page is an erratum for the published version. We inadvertently (I) gave an incorrect definition of adjoint involutions; (II) omitted dealing with the case $(H\times H, \widehat{\phantom{m}}\,)$. As $W(H\times H, \widehat{\phantom{m}}\,)= W(R\times R, \widehat{\phantom{m}}\,)=0$, the omission does not affect our reasoning or our results. For the sake of completeness we point out where some small changes should be made in the published version.Comment: This is the final version before publication. The last page is an updated erratum for the published versio

Report on evaluation of quantified indicators, detailing the effects of best practices application for policy-makers and stakeholders

This report gives an overview of the quantitative assessment IIASA has conducted about the pilot project SuedLink. It includes an evaluation of the information events and the information material provided

Public protests against deployment of electricity transmission infrastructure in Europe: what are successful actions to deal with issues of public acceptance? Evaluation of best practices application, with revisions protocol and action plans

The goal of this work is to identify how successful actions implemented of transmission systems operators in cooperation with non-governmental organizations and academia to address public concerns about the deployment of electricity transmission infrastructure in four pilot projects. This publication includes three sets of results: 1) evaluation of stakeholder concerns according to guiding principles and the group of stakeholders, 2) evaluation of separate actions, 3) to address these concerns and evaluation of BESTGRID as an entire process to address stakeholders concerns

Division, adjoints, and dualities of bilinear maps

The distributive property can be studied through bilinear maps and various morphisms between these maps. The adjoint-morphisms between bilinear maps establish a complete abelian category with projectives and admits a duality. Thus the adjoint category is not a module category but nevertheless it is suitably familiar. The universal properties have geometric perspectives. For example, products are orthogonal sums. The bilinear division maps are the simple bimaps with respect to nondegenerate adjoint-morphisms. That formalizes the understanding that the atoms of linear geometries are algebraic objects with no zero-divisors. Adjoint-isomorphism coincides with principal isotopism; hence, nonassociative division rings can be studied within this framework. This also corrects an error in an earlier pre-print; see Remark 2.11

Common protocol for data collection and recording to ensure comparability across pilot projects of the quantified indicators

In addition to producing results in the form of more effective discourse and ultimately, greater public acceptance, the pilot projects will generate a great deal of information. It is essential that this information will be collected in a standardised format across the four pilot projects, in order that the data generated be of a comparable form and quality. IIASA has draft a common data protocol based on iterative discussions with other consortium partners

Methodological and theoretical framework mapping commonalities and differences of separate pilot study action plans onto a common framework of actions and guiding principles

The individual action plans from the pilot projects differ across project partners for a variety of locally specific reasons. In order to later compare the results from the different pilot projects, it is essential to have a clear understanding of the commonalities and differences across the action plans. IIASA provides this understanding by the development of a common methodological framework, categorising all of the separate actions taken in the pilot projects, and mapping each of the pilot projects onto this framework