W(infty)-Covariance of the Weyl-Wigner-Groenewold-Moyal Quantization

The differential structure of operator bases used in various forms of the Weyl-Wigner-Groenewold-Moyal (WWGM) quantization is analyzed and a derivative-based approach, alternative to the conventional integral-based one is developed. Thus the fundamental quantum relations follow in a simpler and unified manner. An explicit formula for the ordered products of the Heisenberg-Weyl algebra is obtained. The W(infty) -covariance of the WWGM-quantization in its most general form is established. It is shown that the group action of W(infty) that is realized in the classical phase space induces on bases operators in the corresponding Hilbert space a similarity transformation generated by the corresponding quantum W(infty) which provides a projective representation of the former $W_{\infty}$. Explicit expressions for the algebra generators in the classical phase space and in the Hilbert space are given. It is made manifest that this W(infty)-covariance of the WWGM-quantization is a genuine property of the operator bases.Comment: 14 pages, Latex file. No figures. To apear in J. Math. Phy

Hadronic photon interactions at high energies

A simple phenomenological introduction to the physics of multi-pomeron exchange amplitudes in connection with the Abramovski-Gribov-Kancheli (AGK) cutting rules is given. The AGK cutting rules are applied to obtain qualitative and quantitative predictions on multiparticle production at high energies. On this basis, particle production in hadron-hadron scattering, photoproduction, and in particular the transition to deep-inelastic scattering is discussed.Comment: LaTeX, 6 pages, 6 ps-figs, sprocl.sty, talk given by R. Engel at "XXVI International Symposium on Multiparticle Dynamics" held in Faro, Portugal, September 199

Setting a Better Standard: Evaluating Jail Officials’ Constitutional Duties in Preventing the Sexual Assault of Pretrial Detainees

This Note examines Walton v. Dawson, a recent Eighth Circuit decision that considers whether jail officials should be held accountable when an inmate-on-inmate sexual assault occurs and the assault was directly facilitated by the failure of the officials’ subordinates to follow the jailhouse policy of locking cell doors overnight. Parts II and III introduce the facts and holding of Walton and the legal context within which an analysis of the instant case may be framed. Part IV synthesizes the court’s rationale in the Walton decision with the established legal context. Finally, Part V discusses Walton’s foreseeable impact on future deliberate indifference claims. This Note argues that the Eighth Circuit should adopt an objective standard when reviewing claims of deliberate indifference brought by pretrial detainees against jail official

Examining Gender Differences in the Relationship Between Active Travel and Fitness Outcomes

Please refer to the pdf version of the abstract located adjacent to the title

Ion clusters and ion-water potentials in MD-simulations

A well known, if little documented, problem in many molecular simulations of aqueous ionic solutions at finite concentrations is that unrealistic cation-cation associations are frequently found. One might suspect a defect in the ion-ion interaction potentials, about which not much is known. However, we show that this phenomenon can also be traced to the fact that, in the pair-potential approximation, the cation-water potentials are too deep compared with the other ones and we investigate this phenomenon in some detail. We then attempt to draw some general conclusions.Comment: 10 pages, 9 figure

Wigner Oscillators, Twisted Hopf Algebras and Second Quantization

By correctly identifying the role of central extension in the centrally extended Heisenberg algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on the corresponding enveloping algebra U(h) and eventually deform it through Drinfeld twist. This Hopf algebraic structure and its deformed version U^F(h) are shown to be induced from a more fundamental Hopf algebra obtained from the Schroedinger field/oscillator algebra and its deformed version, provided that the fields/oscillators are regarded as odd-elements of the super-algebra osp(1|2n). We also discuss the possible implications in the context of quantum statistics.Comment: 23 page

Improved predictions of the standard model and the detection of new physics in neutron beta decay

We improve the current predictions of the standard model for neutron beta decay observables and compare them with the currently available ones. Next we study their implications in the possible detection of new physics. We discuss where the limitations are and where further efforts should be directed.Comment: 8 pages, 3 figures, to appear in Physics Letters