Physical Sciences and Mathematics Commons^™

Infinite Volume Reconstruction Method Qed Pion Mass Corrections On The Lattice, Michael Riberdy

Honors Scholar Theses

We use the Infinite Volume Reconstruction Method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated on the lattice using a QCD+QED framework, and the mass shift is calculated with exponentially-suppressed finite volume errors. In this paper we discuss the Feynman diagrams relevant to the pion mass difference and we recapitulate the advantages of the Infinite Volume Reconstruction Method. We then discuss the extrapolation to the continuum limit, and report a charged/neutral pion mass difference of 4.52 MeV, which is within 1.44% of the accepted value.

H-Atom Ladder Operator Revisited, Carl W. David

Chemistry Education Materials

An error laden note (Am. J. Phys., 34, 984,(1966)) concerning the ladder operator solution to the hydrogen atom electronic energy levels is corrected.

Automating 35mm Photographic Film Digitization: X-Y Table Capture System Design And Assessment, Michael J. Bennett

Published Works

35mm still image formats are some of the most abundant photographic film types in cultural heritage collections. However, their special handling needs coupled with high resolution digital capture requirements have traditionally posed logistical constraints with regard to the formats’ digitization at scale. Through the use of a programmable X-Y table camera capture system, both slide and strip 35mm photographic film can be digitized in an automated fashion following Federal Agencies Digitization Guidelines (FADGI).

Changes In The Scattering Phase Shifts For Partial Waves Of Ultracold Particles At Different Energies, Kaaviyan Faezi

Honors Scholar Theses

At low energies, scattering phase shifts, the difference in phases between the incoming and outgoing spherical waves in scattering, for different partial waves follow a similar pattern. The phase shift curves, which are a function of the angular momentum quantum number for different scattering energy, obtain resonances after reaching their maxima, and as energy is increased, these resonances become smaller and eventually disappear. Using numerical methods involving the use of Chebyshev polynomials, we solve the wave equation for a scattering potential to obtain the radial equation. From the radial equation we then find the scattering phase shift for a particular …

Computational Analysis Of A New Planar Mixing Layer Flame Configuration To Study Soot Inception, Carmen Ciardiello

Honors Scholar Theses

The production of soot is omnipresent in society today. Soot is the product of many of the combustion processes that provide the bulk of the usable energy throughout the world. Furthermore, soot particulate poses a great danger to both the environment and all forms of life on Earth. It has proven to pollute ecosystems, foster health problems for human beings, and degrade air quality [1].

These dangers make studying and understanding soot particulate paramount for improving the quality of life. Thus, this study introduces a new flame configuration for studying soot inception. Presently, various common flame configurations have been found …

A Consistent Classical Relativistic Model Of A Finite Size Particle, Mira Varma

Honors Scholar Theses

An exactly solvable classical field theoretical model of a stable particle of finite size is studied. The model consists of a "swarm" of matter particles bound by an interplay of three static fields: one electromagnetic field, a massive scalar field, and a massive vector field. The internal forces due to the three fields balance each other to form a stable particle. The model parameters can be chosen such that the described particle has the mass and radius of a proton. The model qualitatively reproduces the pressure distribution inside a proton in agreement with recent experimental findings.