Ad Themistium Arabum

published or submitted for publicatio

Quasi-Exactly Solvable Systems and Orthogonal Polynomials

This paper shows that there is a correspondence between quasi-exactly solvable models in quantum mechanics and sets of orthogonal polynomials $\{ P_n\}$. The quantum-mechanical wave function is the generating function for the $P_n (E)$, which are polynomials in the energy $E$. The condition of quasi-exact solvability is reflected in the vanishing of the norm of all polynomials whose index $n$ exceeds a critical value $J$. The zeros of the critical polynomial $P_J(E)$ are the quasi-exact energy eigenvalues of the system.Comment: 9pp, RevTeX, no figures; to appear in J. Math. Phy

What Helps Law Professors Develop as Teachers? -- An Empirical Study

The overall goal of this article is to provide concrete suggestions for how law schools can improve teaching and enrich law student learning. In doing so, it reviews and analyzes the data collected from two national surveys about the kinds of faculty development activities that are most effective in improving law professors’ teaching. One survey was designed to quantify how many law teachers engaged in twenty-two types of teaching development activities over the previous five years and to assess the effectiveness of each of those activities. The other survey focused on the effectiveness of a national conference on teaching and learning in law school. This article builds upon Improving Teaching and Learning in Law School: Faculty Development Research, Principles, and Programs, 12 WIDENER L. REV. 443 (2006), which presented the principles fundamental to effective faculty development programs. This article shows how these principles apply by providing data about the effectiveness of a wide range of teaching development activities

Comment on: Establishment of Exchanges and Qualified Health Plans

[Excerpt] These comments to the proposed rule on the Establishment of Exchanges and Qualified Health Plans are submitted on behalf of the American Federation of Labor and Congress of Industrial Organizations ( AFL-CIO ) and its 56 affiliated unions. The AFL-CIO, together with its community affiliate, Working America, represents more than 12 million workers

On the relation between the Deuteron Form Factor at High Momentum Transfer and the High Energy Neutron-Proton Scattering Amplitude

A non-relativistic potential-model version of the factorization assumption, used in perturbative QCD calculations of hadronic form factors, is used, along with the Born approximation valid at high energies, to derive a remarkably simple relationship between the impulse approximation contribution to the deuteron form factor at high momentum transfer and the high energy neutron-proton scattering amplitude. The relation states that the form factor at a given value of $Q^2$ is proportional to the scattering amplitude at a specific energy and scattering angle. This suggests that an accurate computation of the form factors at large $Q^2$ requires a simultaneous description of the phase-shifts at a related energy, a statement that seems reasonable regardless of any derivation. Our form factor-scattering amplitude relation is shown to be accurate for some examples. However, if the potential consists of a strong short distance repulsive term and a strong longer ranged attractive term, as typically occurs in many realistic potentials, the relation is found to be accurate only for ridiculously large values of $Q$. More general arguments, using only the Schroedinger equation, suggest a strong, but complicated, relationship between the form factor and scattering amplitude. Furthermore, the use of recently obtained soft potentials, along with an appropriate current operator, may allow calculations of form factors that are consistent with the necessary phase shifts.Comment: 14 pages, 4 figures, The discussion has been extended by including numerical examples and general argument

AN EXAMINATION OF THE TREND IN INDUSTRIAL DISPERSION IN OKLAHOMA FROM 1963 THROUGH 1974

Industrial Organization,

Nonintrusive inertial vibration isolation technology for microgravity space experiments

The dynamic acceleration environment observed on Space Shuttle flights to date and predicted for the Space Station has complicated the analysis of prior microgravity experiments and prompted concern for the viability of proposed space experiments requiring long-term, microgravity environments. Isolation systems capable of providing significant improvements to this environment exist, but at present have not been demonstrated in flight configurations. A summary of the theoretical evaluation for two one degree-of-freedom (DOF) active magnetic isolators and their predicted response to both direct and base excitations is presented. These isolators can be used independently or in concert to isolate acceleration-sensitive microgravity space experiments, dependent on the isolation capability required for specific experimenter needs