Two-particle scattering theory for anyons

We consider potential scattering theory of a nonrelativistic quantum mechanical 2-particle system in R^2 with anyon statistics. Sufficient conditions are given which guarantee the existence of wave operators and the unitarity of the S-matrix. As examples the rotationally invariant potential well and the delta-function potential are discussed in detail. In case of a general rotationally invariant potential the angular momentum decomposition leads to a theory of Jost functions. The anyon statistics parameter gives rise to an interpolation for angular momenta analogous to the Regge trajectories for complex angular momenta. Levinson's theorem is adapted to the present context. In particular we find that in case of a zero energy resonance the statistics parameter can be determined from the scattering phase.Comment: 42 pages of RevTex and 5 figures (included

Patient's breath controls comfort devices

Patient assist system for totally disabled persons was developed which permits a person, so paralyzed as to be unable to move, to activate by breathing, a call system to summon assistance, turn the page of a book, ajust his bed, or do any one of a number of other things. System consists of patient assist control and breath actuated switch

Patient assist device parts list

A complete parts list for the patient assist device is presented along with the schematic diagrams

Stabilization not for certain and the usefulness of bounds

Stabilization is still a somewhat controversial issue concerning its very existence and also the precise conditions for its occurrence. The key quantity to settle these questions is the ionization probability, for which hitherto no computational method exists which is entirely agreed upon. It is therefore very useful to provide various consistency criteria which have to be satisfied by this quantity, whose discussion is the main objective of this contribution. We show how the scaling behaviour of the space leads to a symmetry in the ionization probability, which can be exploited in the mentioned sense. Furthermore, we discuss how upper and lower bounds may be used for the same purpose. Rather than concentrating on particular analytical expressions we obtained elsewhere for these bounds, we focus in our discussion on the general principles of this method. We illustrate the precise working of this procedure, its advantages, shortcomings and range of applicability. We show that besides constraining possible values for the ionization probability these bounds, like the scaling behaviour, also lead to definite statements concerning the physical outcome. The pulse shape properties which have to be satitisfied for the existence of asymptotical stabilization is the vanishing of the total classical momentum transfer and the total classical displacement and not smoothly switched on and off pulses. Alternatively we support our results by general considerations in the Gordon-Volkov perturbation theory and explicit studies of various pulse shapes and potentials including in particular the Coulomb- and the delta potential.Comment: 12 pages Late

Analytical treatment of stabilization

We present a summarizing account of a series of investigations whose central topic is to address the question whether atomic stabilization exists in an analytical way. We provide new aspects on several issues of the matter in the theoretical context when the dynamics is described by the Stark Hamiltonian. The main outcome of these studies is that the governing parameters for this phenomenon are the total classical momentum transfer and the total classical displacement. Whenever these two quantities vanish, asymptotically weak stabilization does exist. For all other situations we did not find any evidence for stabilization. We found no evidence that strong stabilization might occur. Our results agree qualitatively with the existing experimental findings

Title VII: An Overview of Some Common Employer Pitfalls

Titile VII of the Civil Rights Act of 1964 and other supporting acts and laws have established certain employment rights for the vast majority of employees throughout the United States, and the procedures for enforcing those rights. Substantial efforts have been made by federal and state agencies, as well as minority interest groups, to publicize the laws and their enforcement procedures. In 1974 it can be safely assumed that virtually all employees affected by the equal employment laws are familiar with their rights or, minim- ally, know where to obtain sufficient information to be fully apprised of those rights. Surprisingly, the corollary is not true. Employers often are woefully uninformed regarding permitted and prohibited employment practices. Often, employment relations are a minor or even insignificant facet of the general operation of a business. Problems rarely occur as a result of an overt desire to violate the equal em- ployment laws or the rights of any employees. On the contrary, management\u27s policies and practices are most often genuinely motivated by a desire to maintain or improve the conduct of business. However, decisions implemented without sufficient knowledge of or concern for protected employee rights can prove to be disastrous, as will be discussed later in this article

Foundations in Wisconsin: A Directory [23rd ed. 2004]

This 2004 edition of Foundations in Wisconsin marks the 23rd release of the print directory and the 4th year of the online version. The directory is designed as a research tool for grantseekers interested in locating information on private, corporate, and community foundations registered in Wisconsin. Each entry in this new edition has been updated or reviewed to provide the most current information available. Most of the data was extracted from IRS 990-PF tax returns filed by the foundations. However, additional information was obtained from surveys, annual reports, and foundation Web sites. Wisconsin foundations have shown small increases as compared to the 2003 edition. The number of active foundations has grown to an all-time high of 1184. Both total assets and grants for the state’s foundations increased from 2003, albeit not to the heights documented in the 2002 edition. Total assets grew by 1.53% and total grants by .23%. The following table details the financial pattern over the 10 years.https://epublications.marquette.edu/lib_fiw/1007/thumbnail.jp

Foundations in Wisconsin: A Directory [22nd ed. 2003]

This 22nd edition of Foundations in Wisconsin (2003) is the first produced by the new Marquette University John P. Raynor, S.J., Library. The directory is designed as a research tool for grantseekers interested in locating information on private, corporate, and community foundations registered in Wisconsin. Each entry in this new edition has been updated or reviewed to provide the most current information available. Most of the data was extracted from IRS 990-PF tax returns filed by the foundations. However, additional information was obtained from surveys, annual reports, and foundation Web sites. The economy has slowed the growth of Wisconsin foundations. While the number of active foundations grew to 1160 (up slightly from 1151 last year), other areas are showing decline. For the first time in 23 years of reporting, both grants and assets decreased rather than increased. Grants decreased by .6% as compared to last year’s increase of 7.7%. Assets declined by 6.3%, down from the .3% increase documented in 2002. The following table illustrates the financial pattern over the last 10 editions.https://epublications.marquette.edu/lib_fiw/1008/thumbnail.jp