Polynomial and rational solutions of holonomic systems

The aim of this paper is to give two new algorithms, which are elimination free, to find polynomial and rational solutions for a given holonomic system associated to a set of linear differential operators in the Weyl algebra D = k where k is a subfield of the complex numbers.Comment: 20 page

Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions

We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross-Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptotic behavior, which is given in terms of the linearized evolution

Strain modification in coherent Ge and SixGe1–x epitaxial films by ion-assisted molecular beam epitaxy

We have observed large changes in Ge and SixGe1–x layer strain during concurrent molecular beam epitaxial growth and low-energy bombardment. Layers are uniformly strained, coherent with the substrate, and contain no dislocations, suggesting that misfit strain is accommodated by free volume changes associated with injection of ion bombardment induced point defects. The dependence of layer strain on ion energy, ion-atom flux ratio, and temperature is consistent with the presence of a uniform dispersion of point defects at high concentration. Implications for distinguishing ion-surface interactions from ion-bulk interactions are discussed

How do Neutrinos Propagate ? - Wave-Packet Treatment of Neutrino Oscillation

The wave-packet treatment of neutrino oscillation developed previously is extended to the case in which momentum distribution functions are taken to be a Gaussian form with both central values and dispersions depending on the mass eigenstates of the neutrinos. It is shown among other things that the velocity of the neutrino wave packets does not in general agree with what one would expect classically and that relativistic neutrinos emitted from pions nevertheless do follow, to a good approximation, the classical trajectory.Comment: 13 page. No figure. Typeset using PTPTeX.st

The Misery of Mitra: Considering Criminal Punishment for Computer Crimes

This paper analyzes the policies and philosophy of punishment for computer crimes under the post-Sept. 11th regime. I argue that the judicial discourse represented in Mitra represents a willingness to use the Computer Fraud and Abuse Act to go after defendants that cause trouble with critical infrastructures, the so-called “domestic terrorist.” This is manifested in the levels of punishments for such offenses and calls into question whether the traditional theories of punishment are applicable. I argue that as a policy, it makes good sense but the hazy definitions of terrorism may present problems for its success, and instead an approach that takes into consideration the perpetrators may help facilitate a resolution to this problem. I first give a discussion of the historical background and context to §1030. Next, I discuss the increase in punishment levels in § 1030. I then give a discussion about the pervasiveness of computer-chip technology and apply Mitra. Then, I analyze this in the context of theories of punishment, and discuss and present a solution to this slippery-slope problem

23(B)(2) Class Certification: Choosing an Approach for Certifying Civil Rights Discrimination Class Action Suits

The passage of the 1991 amendments to the Civil Rights Act granted injunctive as well as monetary damages for impermissible discrimination in the workplace. The Act also created a tension with the last revision of the Federal Rules of Civil Procedure in 1966. This revision prohibits the certification of a class under Rule 23(b)(2) if the damages sought are predominantly monetary in nature. On one end of this resulting tension is the desire to protect individuals rights to “opt-out” of a class action suit and maintain future individual actions. On the other end is the desire for judicial economy and the possibility to have sweeping remedies in the form of injunctive or declaratory relief. This tension is not reconcilable at the present and has fueled the growth of a three-way circuit split over what standard should be used to decide the certification of a class action civil rights discrimination suit. I argue that the circuit split has presented some courts to provide a higher burden to alleged victims of civil rights discrimination, in direct frustration of Congress’ legislative intent to compensate victims and give a punitive remedy against large companies that commit civil rights violations. I propose a burden-shifting solution to the circuit split that takes into account the interests of the parties in a class action suit as well as the effects of racial politics. I however advocate an appropriate and ultimate solution that revises the Federal Rule that clearly expresses an approach taking into account this tension