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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 1 - 4 of 4
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Proof-Of-Concept For Converging Beam Small Animal Irradiator, Benjamin Insley
Proof-Of-Concept For Converging Beam Small Animal Irradiator, Benjamin Insley
Dissertations & Theses (Open Access)
The Monte Carlo particle simulator TOPAS, the multiphysics solver COMSOL., and
several analytical radiation transport methods were employed to perform an in-depth proof-ofconcept
for a high dose rate, high precision converging beam small animal irradiation platform.
In the first aim of this work, a novel carbon nanotube-based compact X-ray tube optimized for
high output and high directionality was designed and characterized. In the second aim, an
optimization algorithm was developed to customize a collimator geometry for this unique Xray
source to simultaneously maximize the irradiator’s intensity and precision. Then, a full
converging beam irradiator apparatus was fit with a multitude …
The Kepler Problem On Complex And Pseudo-Riemannian Manifolds, Michael R. Astwood
The Kepler Problem On Complex And Pseudo-Riemannian Manifolds, Michael R. Astwood
Theses and Dissertations (Comprehensive)
The motion of objects in the sky has captured the attention of scientists and mathematicians since classical times. The problem of determining their motion has been dubbed the Kepler problem, and has since been generalized into an abstract problem of dynamical systems. In particular, the question of whether a classical system produces closed and bounded orbits is of importance even to modern mathematical physics, since these systems can often be analysed by hand. The aforementioned question was originally studied by Bertrand in the context of celestial mechanics, and is therefore referred to as the Bertrand problem. We investigate the qualitative …
Accuracy And Stability Of Integration Methods For Neutrino Transport In Core Collapse Supernovae, Kyle A. Gregory
Accuracy And Stability Of Integration Methods For Neutrino Transport In Core Collapse Supernovae, Kyle A. Gregory
Chancellor’s Honors Program Projects
No abstract provided.
Complex Semiclassics: Classical Models For Tunneling Using Complex Trajectories, Max Edward Meynig
Complex Semiclassics: Classical Models For Tunneling Using Complex Trajectories, Max Edward Meynig
Senior Projects Spring 2017
This project is inspired by the idea that black holes could explode due to a quantum process somewhat analogous to quantum mechanical tunneling. This idea was presented in recent research that also proposed that semiclassical physics could be used to investigate the so called black hole fireworks. Semiclassical physics connects quantum and classical physics and because of this it is a powerful tool for investigating gravity where the classical theory is known but there is no complete quantum theory. Unfortunately, the traditional tools in semiclassics that are needed fail to treat tunneling. However, if classical mechanics is extended to complex …