Methods for Cancellation of Apparent Cerenkov Radiation Arising From SME Models and Separability of Schrödinger’s Equation Using Exotic Potentials in Parabolic Coordinates

In an attempt to merge the two prominent areas of physics: The Standard Model and General Relativity, there have been many theories for the underlying physics that may lead to Lorentz- and CPT-symmetry violations. At the present moment, technology allows numerous types of Planck-sensitive tests of these symmetries in a range of physical systems. We address a curiosity in isotropic CPT- and Lorentz-violating electrodynamics where there is a kinematic allowance for Cerenkov radiation of a charged particle in a vacuum moving with uniform motion. This however, should not be the case as it is known that constant motion in a vacuum should not cause the particle to lose any energy. Taking Fourier transforms of the modified magnetic field confirms the cancellation of the apparent radiation. The Fourier transform can be used to show that modes for short and long wavelengths cancel. In the second area of research we focus on solutions of the Schrödinger equation which may be found by separation of variables in more than one coordinate system. This class of potentials includes a number of important examples, including the isotropic harmonic oscillator and the Coulomb potential. There are multiple separable Hamiltonians that exhibit a number of interesting features, including “accidental” degeneracies in their bound state spectra and often classical bound state orbits that always close. We examine another potential, for which the Schrödinger equation is separable in both cylindrical and parabolic coordinates: a z-independent V ∝ 1/p2 = 1/ (x2 + y2) in three dimensions. All the persistent, bound classical orbits in this potential close, because all other orbits with negative energies fall to the center at ρ = 0. When separated in parabolic coordinates, the Schrödinger equation splits into three individual equations, two of which are equivalent to the radial equation in a Coulomb potential—one equation with an attractive potential, the other with an equally strong repulsive potential

Utilizing the Disc in Some Corporate Repatriations under Section 367

In an effort to help the balance-of-payments deficit, the Revenue Act of 1971 included provisions authorizing creation of Domestic International Sales Corporations. Designed to discourage the continued use of foreign incorporated sales subsidiaries by domestic companies, election of DISC status permits an exporter to take maximum advantage of certain tax deferral provisions. However, the decision to bring home foreign sales subsidiaries to a domestic tax haven requires careful evaluation by the parent company. The author analyzes the problems incident to a decision to repatriate foreign subsidiaries and discusses the advantages in utilizing the DISC to overcome them

Mode Analysis for Energetics of a Moving Charge in Lorentz- and CPT -Violating Electrodynamics

In isotropic but Lorentz- and CPT -violating electrodynamics, it is known that a charge in uniform motion does not lose any energy to Cerenkov radiation. This presents a puzzle, since the radiation appears to be kinematically allowed for many modes. Studying the Fourier transforms of the most important terms in the modified magnetic field and Poynting vector, we confirm the vanishing of the radiation rate. Moreover, we show that the Fourier transform of the field changes sign between small and large wave numbers. This enables modes with very long wavelengths to carry negative energies, which cancel out the positive energies carried away by modes with shorter wavelengths. This cancelation had previously been inferred but never explicitly demonstrated

Telemetry Controlled Brain Machine Interface To Train Cortical Circuits

The goal of this dissertation is to document functional reorganization in rat primary somatosensory (SI) cortex. This work proposes to strengthen the interhemispheric connection between homotopic sites in forelimb barrel cortex (FBC) through intracortical microstimulation (ICMS) and induce functional reorganization whereby neurons in the FBC respond to new input from the ipsilateral forelimb. Furthermore, a wireless microstimulation and recording device was developed for producing enhancement and functional reorganization of cortical circuits in FBC. The goal of Experiment One was to test the hypothesis that layer V neurons projected to homotopic sites in contralateral layer V FBC. Retrograde or anterograde neuronal tracer injections were made to characterize the distribution of callosal projecting neurons in contralateral SI that terminate in layer VFBC and where layer V callosal projecting neurons terminate in contralateral SI. The results showed a differential pattern of interhemispheric connectivity between homotopic forelimb representations in layer V FBC. The goal of Experiment Two was to test the hypothesis that ICMS enhances the interhemispheric pathway and leads to functional reorganization. ICMS was delivered in vivo to the interhemispheric pathway between homotopic layer V barrel cortices and multiunit recordings were made to assess changes in firing rate. The results showed ICMS strengthens interhemispheric connectivity and leads to functional reorganization in rat FBC. The goal of Experiment Three was to develop an interactive telemetry-based neural interface device for the controlled delivery of ICMS and recording response activity in rodent. The device successfully delivered microstimulation to a single electrode in SIand recorded evoked responses from a separate electrode in contralateral SI. Its performance was shown to be comparable to commercial stimulating and recording systems. This system serves as a prototype of a wearable compact device. The data suggest that neurons in rat FBC can be induced to respond to new input from the ipsilateral forelimb by enhancing the interhemispheric pathway with ICMS. An interactive system for the controlled delivery of telemetry-based microstimulation and real-time recordings has been demonstrated in vivo. These studies provide the framework for subsequent studies of interhemispheric pathway enhancement and functional reorganization in freely moving rats

Mode Analysis for Energetics of a Moving Charge In Lorentz- and CPT-Violating Electrodynamics

In isotropic but Lorentz- and CPT-violating electrodynamics, it is known that a charge in unifom motion does not lose any energy to Cerenkov radiation. This presents a puzzle, since the radiation appears to be kinematically allowed for many modes. Studying the Fourier transforms of the most important terms in the modified magnetic field and Poynting vector, we confirm the vanishing of the the radiation rate. Moreover, we show that the Fourier transform of the field changes sign between small and large wave numbers. This enables modes with very long wavelengths to carry negative energies, which cancel out the positive energies carried away by modes with shorter wavelengths. This cancelation had previously been inferred but never explicitly demonstrated.Comment: 16 page

Separability of the Planar 1/ρ21/\rho^{2} Potential In Multiple Coordinate Systems

With a number of special Hamiltonians, solutions of the Schr\"{o}dinger equation may be found by separation of variables in more than one coordinate system. The class of potentials involved includes a number of important examples, including the isotropic harmonic oscillator and the Coulomb potential. Multiply separable Hamiltonians exhibit a number of interesting features, including "accidental" degeneracies in their bound state spectra and often classical bound state orbits that always close. We examine another potential, for which the Schr\"{o}dinger equation is separable in both cylindrical and parabolic coordinates: a $z$-independent $V\propto 1/\rho^{2}=1/(x^{2}+y^{2})$ in three dimensions. All the persistent, bound classical orbits in this potential close, because all other orbits with negative energies fall to the center at $\rho=0$. When separated in parabolic coordinates, the Schr\"{o}dinger equation splits into three individual equations, two of which are equivalent to the radial equation in a Coulomb potential---one equation with an attractive potential, the other with an equally strong repulsive potential.Comment: 18 page

The Little Grey Mother : Who Waits All Alone

https://digitalcommons.library.umaine.edu/mmb-vp/2008/thumbnail.jp

Sustainable design in Ghana

Sustainable homes are difficult for the people of Gambibgo, Ghana to build, as there are few natural building materials in the area other than earth and water, and their subsistencefarming lifestyle leaves very little money for the purchase of sourced material like lumber, steel, or cement. Traditional homes in Gambibgo are constantly rebuilt, costing the communityaround $250 at least once every five years. Our team, with Father James Reites, S.J. and two alums, traveled to Gambibgo in March 2015 with an earthen roof design we had hoped to implement on the existing walls of thecommunity\u27s homes. Upon our arrival we realized that our assumptions regarding the stability of a set of existing walls were incorrect, which led to our implementation of a Nubian vault, whileworking with the Nubian Vault Association (AVN), a non-governmental organization founded 15 years ago in France. With the help of AVN and two experienced Nubian vault masons, the Gambibgo community constructed the first Nubian vault built in rural Ghana by the local population. The success of this building method relies on the ability of AVN to attract investors; however, the AVNhas little to no technical data regarding the structural analysis of the building method. Our research provided us with useful information regarding Nubian vaults, and this research will becontinued in the following academic year as two rising seniors, Philip Mirenda and JosephPapangellin. These individuals will continue the analysis of the Nubian vault to soon provide the AVN with information that will attract investors to this sustainable buildingmethod

My Mammy Knows

https://digitalcommons.library.umaine.edu/mmb-vp/4012/thumbnail.jp

Mary, Dear: Some Day We Will Meet Again

https://digitalcommons.library.umaine.edu/mmb-vp/2093/thumbnail.jp