Asymptotics of Clebsch-Gordan Coefficients

Asymptotic expressions for Clebsch-Gordan coefficients are derived from an exact integral representation. Both the classically allowed and forbidden regions are analyzed. Higher-order approximations are calculated. These give, for example, six digit accuracy when the quantum numbers are in the hundreds.Comment: 30 pages, two figures. New Appendix added. Accepted for publication in the Journal of Mathematical Physic

From Heisenberg matrix mechanics to EBK quantization: theory and first applications

Despite the seminal connection between classical multiply-periodic motion and Heisenberg matrix mechanics and the massive amount of work done on the associated problem of semiclassical (EBK) quantization of bound states, we show that there are, nevertheless, a number of previously unexploited aspects of this relationship that bear on the quantum-classical correspondence. In particular, we emphasize a quantum variational principle that implies the classical variational principle for invariant tori. We also expose the more indirect connection between commutation relations and quantization of action variables. With the help of several standard models with one or two degrees of freedom, we then illustrate how the methods of Heisenberg matrix mechanics described in this paper may be used to obtain quantum solutions with a modest increase in effort compared to semiclassical calculations. We also describe and apply a method for obtaining leading quantum corrections to EBK results. Finally, we suggest several new or modified applications of EBK quantization.Comment: 37 pages including 3 poscript figures, submitted to Phys. Rev.

Four Rivers second generation Pressurized Circulating Fluidized Bed Combustion Project

Air Products has been selected in the DOE Clean Coal Technology Round V program to build, own, and operate the first commercial power plant using second generation Pressurized Circulating Fluidized Bed (PCFB) combustion technology. The four Rivers Energy Project (Four Rivers) will produce up to 400,000 lb/hr steam, or an equivalent gross capacity of 95 MWe. The unit will be used to repower an Air Products chemicals manufacturing facility in Calvert City, Kentucky

Five Kepler target stars that show multiple transiting exoplanet candidates

We present and discuss five candidate exoplanetary systems identified with the Kepler spacecraft. These five systems show transits from multiple exoplanet candidates. Should these objects prove to be planetary in nature, then these five systems open new opportunities for the field of exoplanets and provide new insights into the formation and dynamical evolution of planetary systems. We discuss the methods used to identify multiple transiting objects from the Kepler photometry as well as the false-positive rejection methods that have been applied to these data. One system shows transits from three distinct objects while the remaining four systems show transits from two objects. Three systems have planet candidates that are near mean motion commensurabilities---two near 2:1 and one just outside 5:2. We discuss the implications that multitransiting systems have on the distribution of orbital inclinations in planetary systems, and hence their dynamical histories; as well as their likely masses and chemical compositions. A Monte Carlo study indicates that, with additional data, most of these systems should exhibit detectable transit timing variations (TTV) due to gravitational interactions---though none are apparent in these data. We also discuss new challenges that arise in TTV analyses due to the presence of more than two planets in a system.Comment: Accepted to Ap

Planetary Candidates Observed by Kepler IV: Planet Sample From Q1-Q8 (22 Months)

We provide updates to the Kepler planet candidate sample based upon nearly two years of high-precision photometry (i.e., Q1-Q8). From an initial list of nearly 13,400 Threshold Crossing Events (TCEs), 480 new host stars are identified from their flux time series as consistent with hosting transiting planets. Potential transit signals are subjected to further analysis using the pixel-level data, which allows background eclipsing binaries to be identified through small image position shifts during transit. We also re-evaluate Kepler Objects of Interest (KOI) 1-1609, which were identified early in the mission, using substantially more data to test for background false positives and to find additional multiple systems. Combining the new and previous KOI samples, we provide updated parameters for 2,738 Kepler planet candidates distributed across 2,017 host stars. From the combined Kepler planet candidates, 472 are new from the Q1-Q8 data examined in this study. The new Kepler planet candidates represent ~40% of the sample with Rp~1 Rearth and represent ~40% of the low equilibrium temperature (Teq<300 K) sample. We review the known biases in the current sample of Kepler planet candidates relevant to evaluating planet population statistics with the current Kepler planet candidate sample.Comment: 12 pages, 8 figures, Accepted ApJ Supplemen

1937: Abilene Christian College Bible Lectures - Full Text

Delivered in the auditorium of Abilene Christian College, Abilene, Texas, February 193

Planet Occurrence within 0.25 AU of Solar-type Stars from Kepler

We report the distribution of planets as a function of planet radius (R_p), orbital period (P), and stellar effective temperature (Teff) for P < 50 day orbits around GK stars. These results are based on the 1,235 planets (formally "planet candidates") from the Kepler mission that include a nearly complete set of detected planets as small as 2 Earth radii (Re). For each of the 156,000 target stars we assess the detectability of planets as a function of R_p and P. We also correct for the geometric probability of transit, R*/a. We consider first stars within the "solar subset" having Teff = 4100-6100 K, logg = 4.0-4.9, and Kepler magnitude Kp < 15 mag. We include only those stars having noise low enough to permit detection of planets down to 2 Re. We count planets in small domains of R_p and P and divide by the included target stars to calculate planet occurrence in each domain. Occurrence of planets varies by more than three orders of magnitude and increases substantially down to the smallest radius (2 Re) and out to the longest orbital period (50 days, ~0.25 AU) in our study. For P < 50 days, the radius distribution is given by a power law, df/dlogR= k R^\alpha. This rapid increase in planet occurrence with decreasing planet size agrees with core-accretion, but disagrees with population synthesis models. We fit occurrence as a function of P to a power law model with an exponential cutoff below a critical period P_0. For smaller planets, P_0 has larger values, suggesting that the "parking distance" for migrating planets moves outward with decreasing planet size. We also measured planet occurrence over Teff = 3600-7100 K, spanning M0 to F2 dwarfs. The occurrence of 2-4 Re planets in the Kepler field increases with decreasing Teff, making these small planets seven times more abundant around cool stars than the hottest stars in our sample. [abridged]Comment: Submitted to ApJ, 22 pages, 10 figure

The Vehicle, 1968, Vol. 10 no. 2

Vol. 10, No. 2 Table of Contents 1st Prize, ArtCorner of My MindGerry Moreheadpage 4 #1Clyde Simspage 5 Aesthetics for a VagabondByron Nelsonpage 5 1st Prize, Short StorySteam HeatCharles Whitepage 6 a drawingSally Roachpage 6 an untitled themeCatherine Waitepage 8 MoodKevin Sheapage 9 1st Prize, PoetryHome ThoughtsJane Careypage 10 an untitled poemCatherine Waitepage 11 a drawingSally Roachpage 11 GraceJames T. Jonespage 12 LonelinessSally Roachpage 14 Love, JimmyAstaire Pappaspage 14 CapturedJeff Nelsonpage 15 Winnie Davis Neely AwardUnconcernRoger Zulaufpage 17 an untitled poemDavid N. Deckerpage 17 Morality and American Foreign Policy: The Ever-widening GapBruce L. Berrypage 18 La LibertadChris Holavespage 19 1966Roger Zulaufpage 19 SinThomas W. Phippspage 20 a drawingRoger Perkinspage 20 Summer SweatJerry J. Carterpage 20 1st Prize, EssayCuriosityThomas W. Phippspage 21 A Bottle of DreamsMaurice Snivelypage 21 Chalk DustCatherine Waitepage 22 Diffused Existence or, a Meager Attempt at Helping You Over the Rough SpotsJan Gerlachpage 22 To *e.e.Paula Bresnanpage 22 A PoemThomas W. Phippspage 22 Beach PartyJerol Mikeworthpage 22 Wexford\u27s PartyRoy Lueckepage 23 The Four O\u27Clock ClubSally Roachpage 23 Chesterpage 24https://thekeep.eiu.edu/vehicle/1018/thumbnail.jp

Doctors under the microscope: the birth of medical audit

In 1989 a UK government White Paper introduced medical audit as a comprehensive and statutory system of assessment and improvement in quality of care in hospitals. A considerable body of research has described the evolution of medical audit in terms of a struggle between doctors and National Health Service managers over control of quality assurance. In this paper we examine the emergence of medical audit from 1910 to the early 1950s, with a particular focus on the pioneering work of the American surgeons Codman, MacEachern and Ponton. It is contended that medical professionals initially created medical audit in order to articulate a suitable methodology for assessing individual and organisational performance. Rather than a means of protecting the medical profession from public scrutiny, medical auditing was conceived and operationalised as a managerial tool for fostering the active engagement of senior hospital managers and discharging public accountability. These early debates reveal how accounting was implicated in the development of a system for monitoring and improving the work of medical professionals, advancing the quality of hospital care, and was advocated in ways, which included rather than excluded managers