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Articles 31 - 34 of 34
Full-Text Articles in Mathematics
Complex Gleason Measures And The Nemytsky Operator, Miguel Angel Valles
Complex Gleason Measures And The Nemytsky Operator, Miguel Angel Valles
Open Access Theses & Dissertations
This Thesis is devoted to generalize previous results on Gleason measures
to complex Gleason measures, and to develop a functional calculus
for complex measures in relation to the Nemytsky operator. Furthermore
we present the interpretation of our results in the field of quantum
mechanics, some concrete examples and further extensions of several
theorems.
Dark-Bright Soliton Interactions Beyond The Integrable Limit, G. Katsimiga, J. Stockhofe, Panos Kevrekidis, P. Schmelcher
Dark-Bright Soliton Interactions Beyond The Integrable Limit, G. Katsimiga, J. Stockhofe, Panos Kevrekidis, P. Schmelcher
Mathematics and Statistics Department Faculty Publication Series
In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study analytically via a two-soliton ansatz adopted within a variational formulation the interaction between two dark-bright solitons in a homogeneous environment beyond the integrable regime, by considering general inter/intra-atomic interaction coefficients. We retrieve the possibility of a fixed point in the case where the bright solitons are out of phase. As the inter-component interaction is increased, we also identify an exponential instability of the two-soliton state, associated with a subcritical pitchfork …
Principal Component Analysis-Based Anatomical Motion Models For Use In Adaptive Radiation Therapy Of Head And Neck Cancer Patients, Mikhail Aleksandrovich Chetvertkov
Principal Component Analysis-Based Anatomical Motion Models For Use In Adaptive Radiation Therapy Of Head And Neck Cancer Patients, Mikhail Aleksandrovich Chetvertkov
Wayne State University Dissertations
Purpose: To develop standard and regularized principal component analysis (PCA) models of anatomical changes from daily cone beam CTs (CBCTs) of head and neck (H&N) patients, assess their potential use in adaptive radiation therapy (ART), and to extract quantitative information for treatment response assessment.
Methods: Planning CT (pCT) images of H&N patients were artificially deformed to create “digital phantom” images, which modeled systematic anatomical changes during Radiation Therapy (RT). Artificial deformations closely mirrored patients’ actual deformations, and were interpolated to generate 35 synthetic CBCTs, representing evolving anatomy over 35 fractions. Deformation vector fields (DVFs) were acquired between pCT and synthetic …
Development Of The Electron Cooling Simulation Program For Jleic, H. Zhang, J. Chen, R. Li, Y. Zhang, H. Huang, L. Luo
Development Of The Electron Cooling Simulation Program For Jleic, H. Zhang, J. Chen, R. Li, Y. Zhang, H. Huang, L. Luo
Mathematics & Statistics Faculty Publications
In the JLab Electron Ion Collider (JLEIC) project the traditional electron cooling technique is used to reduce the ion beam emittance at the booster ring, and to compensate the intrabeam scattering effect and maintain the ion beam emittance during collision at the collider ring. A new electron cooling process simulation program has been developed to fulfill the requirements of the JLEIC electron cooler design. The new program allows the users to calculate the electron cooling rate and simulate the cooling process with either DC or bunched electron beam to cool either coasting or bunched ion beam. It has been benchmarked …