Open Access. Powered by Scholars. Published by Universities.^{®}
 Institution

 SelectedWorks (72)
 Iowa State University (59)
 Selected Works (39)
 Southwestern Oklahoma State University (37)
 Old Dominion University (33)

 Technological University Dublin (28)
 Claremont Colleges (21)
 Utah State University (19)
 Western Kentucky University (13)
 Wilfrid Laurier University (13)
 University of Texas at El Paso (8)
 California Polytechnic State University, San Luis Obispo (8)
 Columbia College Chicago (8)
 EmbryRiddle Aeronautical University (7)
 Chapman University (7)
 City University of New York (CUNY) (6)
 University of Colorado, Boulder (6)
 Syracuse University (5)
 The University of Southern Mississippi (5)
 The University of Maine (5)
 University of Richmond (5)
 Portland State University (5)
 Dartmouth College (5)
 University of Tennessee, Knoxville (5)
 University of Wyoming (5)
 Purdue University (4)
 Air Force Institute of Technology (4)
 University of Massachusetts Amherst (4)
 Illinois State University (4)
 College of Saint Benedict and Saint John's University (4)
 Keyword

 Journal articles (25)
 Informacje dla studentów (in Polish) (18)
 Mathematics (15)
 Physics (10)
 General Relativity (9)

 Fluid dynamics (8)
 Prace ze studentami (in Polish) (8)
 Ames Laboratory (7)
 Local fractional calculus (7)
 Diffusion (7)
 Physics and Astronomy (6)
 Applied Mathematics (6)
 Computer simulation (6)
 Materials Science and Engineering (6)
 Space (5)
 Oxidation (5)
 Fractal (5)
 Local fractional derivative (5)
 Eddies (5)
 Stokes flow (5)
 Institute of Physical Research and Technology (5)
 Conference articles (4)
 KdV equation (4)
 Fractal space (4)
 Monte Carlo methods (4)
 Mathematical models (4)
 Algorithms (4)
 Instability (4)
 ISI journals (4)
 Mathematical physics (4)
 Publication Year
 Publication

 XiaoJun Yang (42)
 Oklahoma Research Day Abstracts (37)
 Wojciech Budzianowski (29)
 Articles (25)
 Physics and Astronomy Publications (23)

 Mathematics Publications (20)
 Mathematics & Statistics Faculty Publications (18)
 Physics and Computer Science Faculty Publications (11)
 All HMC Faculty Publications and Research (10)
 Andrei Ludu (10)
 Unpublished Writings (8)
 Virginia Journal of Science (8)
 Ogden College of Science & Engineering Publications (8)
 Physics (8)
 Departmental Technical Reports (CS) (7)
 Theses and Dissertations (6)
 Mathematics, Physics, and Computer Science Faculty Articles and Research (6)
 Chemistry Publications (6)
 Electronic Journal of Linear Algebra (5)
 Open Dartmouth: Faculty Open Access Scholarship (5)
 Physics Faculty Publications (4)
 Charles G. Torre (4)
 Mathematics and Statistics Faculty Publications and Presentations (4)
 Dissertations (4)
 Masters Theses (4)
 Graduate Theses and Dissertations (4)
 Doctoral Dissertations (4)
 Electronic Theses and Dissertations (4)
 Retrospective Theses and Dissertations (4)
 Annual Symposium on Biomathematics and Ecology: Education and Research (4)
 Publication Type
 File Type
Articles 1  30 of 524
FullText Articles in Physics
Introduction To Classical Field Theory, Charles G. Torre
Introduction To Classical Field Theory, Charles G. Torre
All Complete Monographs
This is an introduction to classical field theory. Topics treated include: KleinGordon field, electromagnetic field, scalar electrodynamics, Dirac field, YangMills field, gravitational field, Noether theorems relating symmetries and conservation laws, spontaneous symmetry breaking, Lagrangian and Hamiltonian formalisms.
A Tribute To Robert U. Ayres For A Lifetime Of Work In Technological Forecasting And Related Areas, Steven M. Miller
A Tribute To Robert U. Ayres For A Lifetime Of Work In Technological Forecasting And Related Areas, Steven M. Miller
Research Collection School Of Information Systems
Bob Ayres was born in the UnitedStates in 1932. For his university studies at the bachelors, masters and PhD levels, he concentrated in physics and mathematics. When we think of Bob today, we think of his pioneering work across the areas of technological forecasting, industrial metabolism and industrial ecology, and the role of energy and thermodynamics in economic growth. How did a person with a strong fundamental education as a physicist end up as a pioneering thinker and thought leader at the intersection of energy, environment and economics?
Pairwise Completely Positive Matrices And Conjugate Local Diagonal Unitary Invariant Quantum States, Nathaniel Johnston, Olivia Maclean
Pairwise Completely Positive Matrices And Conjugate Local Diagonal Unitary Invariant Quantum States, Nathaniel Johnston, Olivia Maclean
Electronic Journal of Linear Algebra
A generalization of the set of completely positive matrices called pairwise completely positive (PCP) matrices is introduced. These are pairs of matrices that share a joint decomposition so that one of them is necessarily positive semidefinite while the other one is necessarily entrywise nonnegative. Basic properties of these matrix pairs are explored and several testable necessary and sufficient conditions are developed to help determine whether or not a pair is PCP. A connection with quantum entanglement is established by showing that determining whether or not a pair of matrices is pairwise completely positive is equivalent to determining whether or not ...
CoSputtered Tibx Thin Films, Alexander Sredenschek
CoSputtered Tibx Thin Films, Alexander Sredenschek
Honors Projects and Presentations: Undergraduate
Titanium diboride (TiB2) is a ceramic material that has attracted considerable interest due to its distinctive set of properties, such as high melting point and hardness, good thermal and electrical conductivity, as well as excellent corrosion resistance. In some applications, thin coatings of TiB2 may be desired, and one way to obtain such coatings is through the growth of thin films. One common growth technique is magnetron sputtering. However, when films are grown by magnetronsputtering from a single TiB2 target, differences in preferred ejection angles and gasphase scattering yield Brich TiBx films with x typically ranging from 2.5 to ...
Unbounded Derivations Of C*Algebras And The Heisenberg Commutation Relation, Lara M. Ismert
Unbounded Derivations Of C*Algebras And The Heisenberg Commutation Relation, Lara M. Ismert
Dissertations, Theses, and Student Research Papers in Mathematics
This dissertation investigates the properties of unbounded derivations on C*algebras, namely the density of their analytic vectors and a property we refer to as "kernel stabilization." We focus on a weaklydefined derivation δ_{D} which formalizes commutators involving unbounded selfadjoint operators on a Hilbert space. These commutators naturally arise in quantum mechanics, as we briefly describe in the introduction.
A first application of kernel stabilization for δ_{D} shows that a large class of abstract derivations on unbounded C*algebras, defined by O. Bratteli and D. Robinson, also have kernel stabilization. A second application of kernel stabilization provides a ...
Brain Network Structure And Interventions In A Computational Model Of Epilepsy, Joe Emerson
Brain Network Structure And Interventions In A Computational Model Of Epilepsy, Joe Emerson
Student Symposium
Some forms of drugresistant epilepsy can only be treated via surgical intervention. This form of treatment requires the removal of a part of the brain identified as the seizure source. Current methods for surgical treatment are risky and many times unsuccessful. A deeper understanding of how brain connectivity facilitates seizure propagation is necessary for developing improved surgical techniques. Experimental limitations make certain clinical investigations of epilepsy difficult or impossible, but computational modeling offers a way forward when experimentation in living systems is impractical or unsafe. We used a fullhemisphere computational model for epilepsy to investigate the role of network structure ...
2019 Petersheim Academic Exposition Schedule Of Events, Seton Hall University
2019 Petersheim Academic Exposition Schedule Of Events, Seton Hall University
Petersheim Academic Exposition
2019 Petersheim Academic Exposition
Quantum Advantages Quantum Algorithm For Finding The Minimum, Binam Bajracharya
Quantum Advantages Quantum Algorithm For Finding The Minimum, Binam Bajracharya
Senior Theses
Theories about quantum computers and how they would work have been around for a few decades. Peter Shor and Lov Grover even came up with algorithms during the 1990s when the idea of building a quantum computer was farfetched. We are now at a point where our processors are getting faster and smaller, only a few nanometres thick. This obviously has its limits. Big companies like Google, Microsoft, and IBM are at a point where their quantum computers are equivalent to the room sized computers that we see in some old pictures. Here we build up the necessary background required ...
Semiclassically Modeling Hydrogen At Rydberg States Immersed In Electromagnetic Fields, Jaron Williams
Semiclassically Modeling Hydrogen At Rydberg States Immersed In Electromagnetic Fields, Jaron Williams
Mathematics Senior Capstone Papers
Originally, closedorbit theory was developed in order to analyze oscillations in the near ionization threshold (Rydberg) densities of states for atoms in strong external electric and magnetic fields. Oscillations in the density of states were ascribed to classical orbits that began and ended near the atom. In essence, observed outgoing waves following the classical path return and interfere with original outgoing waves, giving rise to oscillations. Elastic scattering from one closed orbit to another gives additional oscillations in the crosssection. This study examines how quantum theory can be properly used in combination with classical orbit theory in order to study ...
Schlieren Imaging And Flow Analysis On A Cone/Flare Model In The Afrl Mach 6 Ludwieg Tube Facility, David A. Labuda
Schlieren Imaging And Flow Analysis On A Cone/Flare Model In The Afrl Mach 6 Ludwieg Tube Facility, David A. Labuda
Theses and Dissertations
Highspeed Schlieren photography was utilized to visualize flow in the Air Force Research Laboratory Mach 6 Ludwieg tube facility. A 7° halfangle cone/flare model with variable nosetip radius and flare angle options was used in the study. Testing was performed at two driver tube pressures, generating freestream Reynolds numbers of 10.0x10^{6} and 19.8x10^{6} per meter. The variableangle flare portion of the model provided a method for adjusting the intensity of the adverse pressure gradient at the cone/flare junction. As expected from existing literature, boundary layer separation along the cone frustum occurred further upstream as ...
Wall Model Large Eddy Simulation Of A Diffusing Serpentine Inlet Duct, Ryan J. Thompson
Wall Model Large Eddy Simulation Of A Diffusing Serpentine Inlet Duct, Ryan J. Thompson
Theses and Dissertations
The modeling focus on serpentine inlet ducts (Sduct), as with any inlet, is to quantify the total pressure recovery and ow distortion after the inlet, which directly impacts the performance of a turbine engine fed by the inlet. Accurate prediction of Sduct ow has yet to be achieved amongst the computational fluid dynamics (CFD) community to improve the reliance on modeling reducing costly testing. While direct numerical simulation of the turbulent ow in an Sduct is too cost prohibitive due to grid scaling with Reynolds number, wallmodeled large eddy simulation (WMLES) serves as a tractable alternative. US3D, a hypersonic research ...
Analytical Wave Solutions Of The Space Time Fractional Modified Regularized Long Wave Equation Involving The Conformable Fractional Derivative, M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, Md. Abdul Haque
Analytical Wave Solutions Of The Space Time Fractional Modified Regularized Long Wave Equation Involving The Conformable Fractional Derivative, M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, Md. Abdul Haque
Karbala International Journal of Modern Science
The space time fractional modified regularized long wave equation is a model equation to the gravitational water waves in the longwave occupancy, shallow waters waves in coastal seas, the hydromagnetic waves in cold plasma, the phonetic waves in dissident quartz and phonetic gravitational waves in contractible liquids. In nonlinear science and engineering, the mentioned equation is applied to analyze the one way tract of long waves in seas and harbors. In this study, the closed form traveling wave solutions to the above equation are evaluated due to conformable fractional derivatives through double (G'⁄G,1⁄G)expansion method and the ...
Comforting With Mathematics: A Case Study, Michael J. Goldstein
Comforting With Mathematics: A Case Study, Michael J. Goldstein
Journal of Humanistic Mathematics
Death by suicide often leaves behind grieving family members with unanswered questions. Of these concerns, fear that their loved one suffered or felt regret is common. When the method of suicide was jumping from height, that answer can easily be determined using basic kinematics. Despite the perception that mathematics is a cold, calculating field, it can provide a clear, definitive answer and comfort those left behind.
Mechanisms For Fracton Phases, Han Ma
Mechanisms For Fracton Phases, Han Ma
Physics Graduate Theses & Dissertations
Strongly correlated manybody systems provide a platform for novel phases of matter where constituent particles organize themselves in a variety of ways. At low temperature, these particles interact quantum mechanically and generate entanglement building up exotic quantum phases, such as topologcial order, where there can be emergent excitations which cannot be created locally. Such excitations, if gapped, are also called topological excitations.
Fracton is one of such gapped pointlike topological excitation in three dimensional system. Different from conventional topological excitation, it is immobile and was firstly discovered in exact solvable models exhibiting fracton topological order. This new order has subextensive ...
Volume 11, Jacob Carney, Ryan White, Joseph Hyman, Jenny Raven, Megan Garrett, Ibrahim Kante, Summer Meinhard, Lauren Johnson, William "Editha" Dean Howells, Laura Gottschalk, Christopher Siefke, Pink Powell, Natasha Woodmancy, Katharine Colley, Abbey Mays, Charlotte Potts
Volume 11, Jacob Carney, Ryan White, Joseph Hyman, Jenny Raven, Megan Garrett, Ibrahim Kante, Summer Meinhard, Lauren Johnson, William "Editha" Dean Howells, Laura Gottschalk, Christopher Siefke, Pink Powell, Natasha Woodmancy, Katharine Colley, Abbey Mays, Charlotte Potts
Incite: The Journal of Undergraduate Scholarship
Table of Contents:
Introduction, Dr. Roger A. Byrne, Dean
From the Editor, Dr. Larissa "Kat" Tracy
From the Designers, Rachel English, Rachel Hanson
Synthesis of 3,5substituted Parabens and their Antimicrobial Properties, Jacob Coarney, Ryan White
Chernobyl: Putting "Perestroika" and "Glasnot" to the Test, Joseph Hyman
Art by Jenny Raven
Watering Down Accessibility: The Issue with Public Access to Alaska's Federal Waterways, Meagan Garrett
Why Has the Democratic Republic of the Congo outsourced its Responsibility to Educate its Citizens? Ibrahim Kante
Art by Summer Meinhard
A Computational Study of Single Molecule Diodes, Lauren Johnson
Satire of the State through ...
Deformations Of G2Structures, String Dualities And Flat Higgs Bundles, Rodrigo De Menezes Barbosa
Deformations Of G2Structures, String Dualities And Flat Higgs Bundles, Rodrigo De Menezes Barbosa
Publicly Accessible Penn Dissertations
We study Mtheory compactifications on G2orbifolds and their resolutions given by total spaces of coassociative ALEfibrations over a compact flat Riemannian 3manifold Q. The flatness condition allows an explicit description of the deformation space of closed G2structures, and hence also the moduli space of supersymmetric vacua: it is modeled by flat sections of a bundle of BrieskornGrothendieck resolutions over Q. Moreover, when instanton corrections are neglected, we obtain an explicit description of the moduli space for the dual type IIA string compactification. The two moduli spaces are shown to be isomorphic for an important example involving A1singularities, and the result ...
Surface Waves Over Currents And Uneven Bottom, Alan C. Compelli, Rossen Ivanov, Calin I. Martin, Michail D. Todorov
Surface Waves Over Currents And Uneven Bottom, Alan C. Compelli, Rossen Ivanov, Calin I. Martin, Michail D. Todorov
Articles
The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom topography is taken into account since it also influences the local wave and current patterns. Specific scaling of the variables is selected which leads to approximations of Boussinesq and KdV types. The arising KdV equation with variable coefficients, dependent on the bottom topography, is studied numerically when the initial condition is in the form of the one soliton solution ...
Cross Faculty Collaboration In The Development Of An Integrated Mathematics And Science Initial Teacher Education Program, Sharon P. Fraser, Kim Beswick, Margaret Penson, Andrew Seen, Robert Whannell
Cross Faculty Collaboration In The Development Of An Integrated Mathematics And Science Initial Teacher Education Program, Sharon P. Fraser, Kim Beswick, Margaret Penson, Andrew Seen, Robert Whannell
Australian Journal of Teacher Education
This paper describes a collaborative project involving mathematicians, scientists and educators at an Australian university where an innovative initial teacher education (ITE) degree in mathematics/science was developed. The theoretical frameworks of identity theory and academic brokerage and their use in understanding the challenges associated with the early stages of collaborative projects is described. Data from reflections and interviews of the participants after involvement in the project from one to three years are presented to illustrate these challenges. The paper concludes with a description of the importance of the academic broker in overcoming identity challenges and facilitating cultural change for ...
Symmetry Reduction In K − P Problems, Benjamin Sheller
Symmetry Reduction In K − P Problems, Benjamin Sheller
Graduate Theses and Dissertations
$KP$ problems are a class of geometric optimal control problems on finitedimensional real semisimple Lie groups which arise, for example, in the control of quantum systems when the Lie group is $SU(n)$. In these problems, the subRiemannian distribution corresponds to the $\p$part of a Cartan decomposition (also known as the $1$ eigenspace of a Cartan involution), and these systems are totally controllable. However, finding a particular optimal trajectory can be in general a computationally difficult problem, and from an analytic perspective, the Lie groups are sufficiently complicated to make finding such objects as the cut locus difficult. $KP ...
A Study Of Several Applications Of Parallel Computing In The Sciences Using Petsc, Nicholas Stegmeier
A Study Of Several Applications Of Parallel Computing In The Sciences Using Petsc, Nicholas Stegmeier
Electronic Theses and Dissertations
The importance of computing in the natural sciences continues to grow as scientists strive to analyze complex phenomena. The dynamics of turbulence, astrophysics simulations, and climate change are just a few examples where computing is critical. These problems are computationally intractable on all computing platforms except supercomputers, necessitating the continued development of efficient algorithms and methodologies in parallel computing. This thesis investigates the use of parallel computing and mathematical modeling in the natural sciences through several applications, namely computational fluid dynamics for impinging jets in mechanical engineering, simulation of biofilms in an aqueous environment in mathematical biology, and the solution ...
Call For Abstracts  Resrb 2019, July 89, Wrocław, Poland, Wojciech M. Budzianowski
Call For Abstracts  Resrb 2019, July 89, Wrocław, Poland, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
A Companion To The Introduction To Modern Dynamics, David D. Nolte
A Companion To The Introduction To Modern Dynamics, David D. Nolte
David D Nolte
Predicted Deepwater Bathymetry From Satellite Altimetry: NonFourier Transform Alternatives, Maxsimo Salazar
Predicted Deepwater Bathymetry From Satellite Altimetry: NonFourier Transform Alternatives, Maxsimo Salazar
Dissertations
Robert Parker (1972) demonstrated the effectiveness of Fourier Transforms (FT) to compute gravitational potential anomalies caused by uneven, nonuniform layers of material. This important calculation relates the gravitational potential anomaly to seafloor topography. As outlined by Sandwell and Smith (1997), a sixstep procedure, utilizing the FT, then demonstrated how satellite altimetry measurements of marine geoid height are inverted into seafloor topography. However, FTs are not local in space and produce Gibb’s phenomenon around discontinuities. Seafloor features exhibit spatial locality and features such as seamounts and ridges often have sharp inclines. Initial tests compared the windowedFT to wavelets in reconstruction ...
Attosecond Light Pulses And Attosecond Electron Dynamics Probed Using AngleResolved Photoelectron Spectroscopy, Cong Chen
Physics Graduate Theses & Dissertations
Recent advances in the generation and control of attosecond light pulses have opened up new opportunities for the realtime observation of subfemtosecond (1 fs = 10^{15} s) electron dynamics in gases and solids. Combining attosecond light pulses with angleresolved photoelectron spectroscopy (attoARPES) provides a powerful new technique to study the influence of material band structure on attosecond electron dynamics in materials. Electron dynamics that are only now accessible include the lifetime of farabovebandgap excited electronic states, as well as fundamental electron interactions such as scattering and screening. In addition, the same attoARPES technique can also be used to measure the ...
Topological Recursion And Random Finite Noncommutative Geometries, Shahab Azarfar
Topological Recursion And Random Finite Noncommutative Geometries, Shahab Azarfar
Electronic Thesis and Dissertation Repository
In this thesis, we investigate a model for quantum gravity on finite noncommutative spaces using the topological recursion method originated from random matrix theory. More precisely, we consider a particular type of finite noncommutative geometries, in the sense of Connes, called spectral triples of type ${(1,0)} \,$, introduced by Barrett. A random spectral triple of type ${(1,0)}$ has a fixed fermion space, and the moduli space of its Dirac operator ${D=\{ H , \cdot \} \, ,}$ ${H \in {\mathcal{H}_N}}$, encoding all the possible geometries over the fermion space, is the space of Hermitian matrices ${\mathcal{H}_N}$. A distribution of ...
Topics In PtSymmetric Quantum Mechanics And Classical Systems, Nima Hassanpour
Topics In PtSymmetric Quantum Mechanics And Classical Systems, Nima Hassanpour
Arts & Sciences Electronic Theses and Dissertations
Spacetime reflection symmetry, or PT symmetry, first proposed in quantum mechanics by Bender and Boettcher in 1998 [2], has become an active research area in fundamental physics. This dissertation contains several research problems which are more or less related to this field of study. After an introduction on complementary topics for the main projects in Chap.1, we discuss about an idea which is originated from the remarkable paper by Chandrasekar et al in Chap.2. They showed that the (secondorder constantcoefficient) classical equation of motion for a damped harmonic oscillator can be derived from a Hamiltonian having one degree ...
Internal And External Harmonic Functions In FlatRing Coordinates, Lijuan Bi
Internal And External Harmonic Functions In FlatRing Coordinates, Lijuan Bi
Theses and Dissertations
The goal of this dissertation is to derive expansions for a fundamental solution of Laplace's equation in flatring coordinates in threedimensional Euclidean space. These expansions are in terms of harmonic functions in the interior and the exterior of two different types of regions, "flat rings" and "peanuts" according to their shapes. We solve Laplace's equation in the interior and the exterior of these regions using the method of separation of variables. The internal and external "flatring" and "peanut" harmonic functions are expressed in terms of Lamé functions.
Generalized Fock Spaces And The Stirling Numbers, Daniel Alpay, Motke Porat
Generalized Fock Spaces And The Stirling Numbers, Daniel Alpay, Motke Porat
Mathematics, Physics, and Computer Science Faculty Articles and Research
The BargmannFockSegal space plays an important role in mathematical physics and has been extended into a number of directions. In the present paper, we imbed this space into a Gelfand triple. The spaces forming the Fréchet part (i.e., the space of test functions) of the triple are characterized both in a geometric way and in terms of the adjoint of multiplication by the complex variable, using the Stirling numbers of the second kind. The dual of the space of test functions has a topological algebra structure, of the kind introduced and studied by the first named author and Salomon.
Full Dyon Excitation Spectrum In Extended LevinWen Models, Yuting Hu, Nathan Geer, YongShi Wu
Full Dyon Excitation Spectrum In Extended LevinWen Models, Yuting Hu, Nathan Geer, YongShi Wu
Mathematics and Statistics Faculty Publications
In LevinWen (LW) models, a wide class of exactly solvable discrete models, for twodimensional topological phases, it is relatively easy to describe only singlefluxon excitations, but not the charge and dyonic as well as manyfluxon excitations. To incorporate charged and dyonic excitations in (doubled) topological phases, an extension of the LW models is proposed in this paper. We first enlarge the Hilbert space with adding a tail on one of the edges of each trivalent vertex to describe the internal charge degrees of freedom at the vertex. Then, we study the full dyon spectrum of the extended LW models, including ...
The AdvectionDiffusion Equation And The Enhanced Dissipation Effect For Flows Generated By Hamiltonians, Michael Kumaresan
The AdvectionDiffusion Equation And The Enhanced Dissipation Effect For Flows Generated By Hamiltonians, Michael Kumaresan
All Dissertations, Theses, and Capstone Projects
We study the Cauchy problem for the advectiondiffusion equation when the diffusive parameter is vanishingly small. We consider two cases  when the underlying flow is a shear flow, and when the underlying flow is generated by a Hamiltonian. For the former, we examine the problem on a bounded domain in two spatial variables with Dirichlet boundary conditions. After quantizing the system via the Fourier transform in the first spatial variable, we establish the enhanceddissipation effect for each mode. For the latter, we allow for nondegenerate critical points and represent the orbits by points on a Reeb graph, with vertices representing ...