On solvable Dirac equation with polynomial potentials

One dimensional Dirac equation is analysed with regard to the existence of exact (or closed-form) solutions for polynomial potentials. The notion of Liouvillian functions is used to define solvability, and it is shown that except for the linear potentials the equation in question is not solvable.Comment: 3 pages, updated bibliograph

A Guide to Measuring Advocacy and Policy

The overall purpose of this guide is twofold. To help grantmakers think about and talk about measurement of advocacy and policy, this guide puts forth a framework for naming outcomes associated with advocacy and policy work as well as directions for evaluation design. The framework is intended to provide a common way to identify and talk about outcomes, providing philanthropic and non-profit audiences an opportunity to react to, refine and adopt the outcome categories presented. In addition, grantmakers can consider some key directions for evaluation design that include a broad range of methodologies, intensities, audiences, timeframes and purposes. Included in the guide are a tool to measure improved policies, a tool to measure a strengthened base of public support, and a survey to measure community members' perceptions about the prioritization of issues

Exact solutions for Big Bounce in loop quantum cosmology

In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cosmological constant Lambda. We find analytical solutions for this model in different configurations and investigate its dynamical behaviour in the whole phase space. We show the explicit influence of Lambda on the qualitative and quantitative character of solutions. Even in the case of positive Lambda the oscillating solutions without the initial and final singularity appear as a generic case for some quantisation schemes.Comment: 12 pages, 12 figures, added references and changed introduction and summar

A Handbook of Data Collection Tools: Companion to "A Guide to Measuring Advocacy and Policy"

This handbook of data collection tools is intended to serve as a companion to A Guide to Measuring Advocacy and Policy. Organizational Research Services (ORS) developed this guide on behalf of the Annie E. Casey Foundation to support efforts to develop and implement an evaluation of advocacy and policy work. The companion handbook is dedicated to providing examples of practical tools and processes for collecting useful information from policy and advocacy efforts. Included within this handbook are a legislative process tracking log, a meeting observation checklist, a policy brief stakeholder survey, a policy tracking analysis tool, and a policy tracking form.This best practice provides an approach to measure advocacy and policy change efforts, starting with a theory of change, identifying outcome categories, and selecting practical approaches to measurement

Full spectrum of the Rabi model

It is shown that in the Rabi model, for an integer value of the spectral parameter $x$, in addition to the finite number of the classical Judd states there exist infinitely many possible eigenstates. These eigenstates exist if the parameters of the problem are zeros of a certain transcendental function; in other words, there are infinitely many possible choices of parameters for which integer $x$ belongs to the spectrum. Morover, it is shown that the classical Judd eigenstates appear as degenerate cases of the confluent Heun function.Comment: 7 pages, 4 figure