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Articles 28441 - 28470 of 36707
Full-Text Articles in Physical Sciences and Mathematics
Spectral Functions Of The Falicov-Kimball Model With Electronic Ferroelectricity, Wei-Guo Yin, Wai-Ning Mei, Chun-Gang Duan, Hai-Qing Lin, John R. Hardy
Spectral Functions Of The Falicov-Kimball Model With Electronic Ferroelectricity, Wei-Guo Yin, Wai-Ning Mei, Chun-Gang Duan, Hai-Qing Lin, John R. Hardy
Physics Faculty Publications
We calculate the angular resolved photoemission spectrum of the Falicov-Kimball model with electronic ferroelectricity where d- and f-electrons have different hoppings. In mix-valence regimes, the presence of strong scattering processes between d – f excitons and a hole, created by emission of an electron, leads to the formation of pseudospin polarons and novel electronic structures with bandwidth scaling with that of d – f excitons. Especially, in the two-dimensional case, we find that flat regions exist near the bottom of the quasiparticle band in a wide range of the d- and f-level energy difference.
A Direct Simulation Monte Carlo Method For The Uehling-Uhlenbeck-Boltzmann Equation, Alejandro Garcia, Wolfgang Wagner
A Direct Simulation Monte Carlo Method For The Uehling-Uhlenbeck-Boltzmann Equation, Alejandro Garcia, Wolfgang Wagner
Alejandro Garcia
In this paper we describe a direct simulation Monte Carlo algorithm for the Uehling-Uhlenbeck-Boltzmann equation in terms of Markov processes. This provides a unifying framework for both the classical Boltzmann case as well as the Fermi-Dirac and Bose-Einstein cases. We establish the foundation of the algorithm by demonstrating its link to the kinetic equation. By numerical experiments we study its sensitivity to the number of simulation particles and to the discretization of the velocity space, when approximating the steady-state distribution.
Inverted Velocity Profile In The Cylindrical Couette Flow Of A Rarefied Gas, Alejandro Garcia, K. Aoki, H. Yoshida, T. Nakanishi
Inverted Velocity Profile In The Cylindrical Couette Flow Of A Rarefied Gas, Alejandro Garcia, K. Aoki, H. Yoshida, T. Nakanishi
Alejandro Garcia
The cylindrical Couette flow of a rarefied gas is investigated, under the diffuse-specular reflection condition of Maxwell’s type on the cylinders, in the case where the inner cylinder is rotating whereas the outer cylinder is at rest. The inverted velocity profile for small accommodation coefficients, pointed out by Tibbs, Baras, and Garcia [Phys. Rev. E 56, 2282 (1997)] on the basis of a Monte Carlo simulation, is investigated extensively by means of a systematic asymptotic analysis for small Knudsen numbers as well as the direct numerical analysis of the Boltzmann equation, and the parameter range in which the phenomenon appears …
Ferroelectricity In Free Niobium Clusters, Ramiro Moro, Xiaoshan Xu, Shuangye Yin, Walt A. De Heer
Ferroelectricity In Free Niobium Clusters, Ramiro Moro, Xiaoshan Xu, Shuangye Yin, Walt A. De Heer
Xiaoshan Xu Papers
Electric deflections of gas-phase, cryogenically cooled, neutral niobium clusters [NbN; number of atoms (N) = 2 to 150, temperature (T) = 20 to 300 kelvin], measured in molecular beams, show that cold clusters may attain an anomalous component with very large electric dipole moments. In contrast, room-temperature measurements show normal metallic polarizabilities. Characteristic energies kBTG(N) [Boltzmann constant kB times a transition temperature TG(N)] are identified, below which the ferroelectric-like state develops. Generally, TG decreases [110 > TG(N) > 10K] as …
Change Of Birefringence In Dye-Doped Nematic Liquid Crystals Under Laser Illumination, S. Eren San, Oğuz Köysal, Serhat Özder, F. Necati̇ Ecevi̇t
Change Of Birefringence In Dye-Doped Nematic Liquid Crystals Under Laser Illumination, S. Eren San, Oğuz Köysal, Serhat Özder, F. Necati̇ Ecevi̇t
Turkish Journal of Physics
Birefringence property of E7 nematic liquid crystal is investigated via voltage dependent transmittance spectrums. Measurements are performed at wavelength 632.8 nm, which is the absorbance peak of our sample including anthraquinone derivative Disperse Blue 14. Results of dye-doped samples are compared with those undoped for dark and laser illuminated cases. It was observed that birefringence is dependent on laser illumination for dye-doped samples, up to a threshold voltage after which it is constant.
How To Establish Successful Cooperative Student Learning Centers For Stem Courses, Ronald James Bieniek, Douglas R. Carroll, Cesar Mendoza, Oran Allan Pringle, Ekkehard Sinn, Kai-Tak Wan, Donald C. Wunsch
How To Establish Successful Cooperative Student Learning Centers For Stem Courses, Ronald James Bieniek, Douglas R. Carroll, Cesar Mendoza, Oran Allan Pringle, Ekkehard Sinn, Kai-Tak Wan, Donald C. Wunsch
Physics Faculty Research & Creative Works
Students learn more if they are actively involved in the learning process, particularly in a cooperative manner. Several UMR faculty have operated course-based learning centers (LCs) as part of the campus-wide Learning Enhancement Across Disciplines (LEAD) Program of student learning assistance and enhancement. LCs are designed to assist large numbers of students in a cost- and time-efficient manner that promotes student engagement without requiring undue amounts of faculty time. Course instructors spend time in the open learning environment of the LC, in lieu of office hours, guiding students to master course material and skills in their evolution from novice to …
Spectral Functions Of The Falicov-Kimball Model With Electronic Ferroelectricity, Wei-Guo Yin, Wai-Ning Mei, Chun-Gang Duan, Hai-Qing Lin, John R. Hardy
Spectral Functions Of The Falicov-Kimball Model With Electronic Ferroelectricity, Wei-Guo Yin, Wai-Ning Mei, Chun-Gang Duan, Hai-Qing Lin, John R. Hardy
John R. Hardy Papers
We calculate the angular resolved photoemission spectrum of the Falicov-Kimball model with electronic ferroelectricity where d- and f-electrons have different hoppings. In mix-valence regimes, the presence of strong scattering processes between d – f excitons and a hole, created by emission of an electron, leads to the formation of pseudospin polarons and novel electronic structures with bandwidth scaling with that of d – f excitons. Especially, in the two-dimensional case, we find that flat regions exist near the bottom of the quasiparticle band in a wide range of the d- and f-level energy difference.
Molecular Dynamics Simulation Of The Order-Disorder Phase Transition In Solid Nano2, Wei-Guo Yin, Chun-Gang Duan, Wai-Ning Mei, Jianjun Liu, R. W. Smith, John R. Hardy
Molecular Dynamics Simulation Of The Order-Disorder Phase Transition In Solid Nano2, Wei-Guo Yin, Chun-Gang Duan, Wai-Ning Mei, Jianjun Liu, R. W. Smith, John R. Hardy
John R. Hardy Papers
We present molecular dynamics simulations of solid NaNO2 using pair potentials with the rigid-ion model. The crystal potential surface is calculated by using an a priori method which integrates the ab initio calculations with the Gordon-Kim electron gas theory. This approach is carefully examined by using different population analysis methods and comparing the intermolecular interactions resulting from this approach with those from the ab initio Hartree-Fock calculations. Our numerics show that the ferroelectric-paraelectric phase transition in solid NaNO2 is triggered by rotation of the nitrite ions around the crystallographical c axis, in agreement with recent x-ray experiments [Gohda …
Comparison Of The Theoretical And Experimental Band Structure Of Poly(Vinylidene Fluoride) Crystal, Chun-Gang Duan, Wai-Ning Mei, J.R. Hardy, Stephen Ducharme, Jaewu Choi, Peter A. Dowben
Comparison Of The Theoretical And Experimental Band Structure Of Poly(Vinylidene Fluoride) Crystal, Chun-Gang Duan, Wai-Ning Mei, J.R. Hardy, Stephen Ducharme, Jaewu Choi, Peter A. Dowben
Peter Dowben Publications
The electronic structure and band symmetries of the ferroelectric phase of poly (vinylidene fluoride) (PVDF) are studied by using the first-principles density-functional method. Our calculated results agree well with the angle-resolved photoemission experiments. We find that the PVDF crystal has an energy gap of about 6 eV at the Γ-point. Large dispersion of the valence band is found only along the chain direction, which is consistent with the quasi-one-dimensional nature of PVDF. In particular, the band symmetries of the valence states deduced theoretically are in good agreement with experiment. Finally, further investigations on the electronic structure of poly(trifluoroethylene) (PTrFE) reveal …
Inner-Shell Photoexcitation Of Fe Xv And Fe Xvi, R. Kisielius, A. Hibbert, Gary J. Ferland, M. E. Foord, S. J. Rose, P. A. M. Vanhoof, F. P. Keenan
Inner-Shell Photoexcitation Of Fe Xv And Fe Xvi, R. Kisielius, A. Hibbert, Gary J. Ferland, M. E. Foord, S. J. Rose, P. A. M. Vanhoof, F. P. Keenan
Physics and Astronomy Faculty Publications
The configuration-interaction method as implemented in the computer code CIV3 is used to determine energy levels, electric dipole radiative transition wavelengths, oscillator strengths and transition probabilities for inner-shell excitation of transitions in Fe XV and Fe XVI. Specifically, transitions are considered of the type 1s22s22p63s2–1s22s22p53l3l′3l′′ (l, l′ and l′′= s, p or d) in Fe XV and 1s22s22p63s–1s22s22p53l3l′ (l …
Comparison Of The Theoretical And Experimental Band Structure Of Poly(Vinylidene Fluoride) Crystal, Chun-Gang Duan, Wai-Ning Mei, J.R. Hardy, Stephen Ducharme, Jaewu Choi, Peter A. Dowben
Comparison Of The Theoretical And Experimental Band Structure Of Poly(Vinylidene Fluoride) Crystal, Chun-Gang Duan, Wai-Ning Mei, J.R. Hardy, Stephen Ducharme, Jaewu Choi, Peter A. Dowben
Stephen Ducharme Publications
The electronic structure and band symmetries of the ferroelectric phase of poly (vinylidene fluoride) (PVDF) are studied by using the first-principles density-functional method. Our calculated results agree well with the angle-resolved photoemission experiments. We find that the PVDF crystal has an energy gap of about 6 eV at the Γ-point. Large dispersion of the valence band is found only along the chain direction, which is consistent with the quasi-one-dimensional nature of PVDF. In particular, the band symmetries of the valence states deduced theoretically are in good agreement with experiment. Finally, further investigations on the electronic structure of poly(trifluoroethylene) (PTrFE) …
Phase Transitions Occurring In Models Of Neighborhood Racial Segregation, Alexander J. Laurie '03
Phase Transitions Occurring In Models Of Neighborhood Racial Segregation, Alexander J. Laurie '03
Honors Projects
This thesis is organized as two chapters whose contents are closely related yet quite distinct. The first chapter presents a paper "Role of 'Vision' in Neighborhood Racial Segregation: A Variant of the Schelling Segregation Model," authored by myself and Dr. Jaggi, which has been accepted for publication by the journal Urban Studies and is currently in press (as of April 2003). This chapter introduces the well-known Schelling model of neighborhood segregation, outlines the sociopolitical motivation for our work, and presents the key results that we believe are of interest to social scientists. Chapter two, which ought to be of greater …
Breakdown Of The Slowly Varying Amplitude Approximation: Generation Of Backward Traveling Second Harmonic Light, J. Z. Sanborn '01, C. Hellings '02, Thomas D. Donnelly
Breakdown Of The Slowly Varying Amplitude Approximation: Generation Of Backward Traveling Second Harmonic Light, J. Z. Sanborn '01, C. Hellings '02, Thomas D. Donnelly
All HMC Faculty Publications and Research
By numerically solving the nonlinear field equations, we simulate second-harmonic generation by laser pulses within a nonlinear medium without making the usual slowly-varying-amplitude approximation, an approximation which may fail when laser pulses of moderate intensity or ultrashort duration are used to drive a nonlinear process. Under these conditions we show that a backward-traveling, second-harmonic wave is created, and that the magnitude of this wave is indicative of the breakdown of the slowly-varying-amplitude approximation. Conditions necessary for experimental detection of this wave are discussed.
Holography With Ramond-Ramond Fluxes, Vatche Sahakian
Holography With Ramond-Ramond Fluxes, Vatche Sahakian
All HMC Faculty Publications and Research
Starting from the non-linear sigma model of the IIB string in the light-cone gauge, we analyze the role of RR fluxes in Holography. We find that the worldsheet theory of states with only left or right moving modes does not see the presence of RR fields threading a geometry. We use this significant simplification to compute part of the strong coupling spectrum of the two dimensional NCOS theory. We also reproduce the action of a closed string in a PP-wave background using this general formalism; and we argue for various strategies to find new systems where the closed string theory …
An Experimental And Theoretical Study Of Transient Negative Ions In Mg, Zn, Cd And Hg, J. P. Sullivan, Paul Burrow, D. S. Newman, K. Bartschat, J. A. Michejda, P. Panajotovic, M. Moghbelalhossein, R. P. Mceachran, Stephen J. Busckman
An Experimental And Theoretical Study Of Transient Negative Ions In Mg, Zn, Cd And Hg, J. P. Sullivan, Paul Burrow, D. S. Newman, K. Bartschat, J. A. Michejda, P. Panajotovic, M. Moghbelalhossein, R. P. Mceachran, Stephen J. Busckman
Paul Burrow Publications
A range of experimental and theoretical techniques have been applied to the study of transient negative ions (resonances) formed in electron scattering from the Group II metals Mg, Zn, Cd, and Hg at incident electron energies below the first ionization potential. A wealth of resonance structures have been observed and from the experimental observations and theoretical information, classifications are proposed for some of these negative ion states.
Erratum: ‘‘Phase Dependence Of Thomson Scattering In An Ultraintense Laser Field’’ Phys. Plasmas 9, 4325 [2002], Fei He, Y. Y. Lau, Donald P. Umstadter, Trevor Strickler
Erratum: ‘‘Phase Dependence Of Thomson Scattering In An Ultraintense Laser Field’’ Phys. Plasmas 9, 4325 [2002], Fei He, Y. Y. Lau, Donald P. Umstadter, Trevor Strickler
Donald Umstadter Publications
The conclusions of this paper on the frequency scaling of the peak intensity of Thomson scattering of an electron that is initially at rest are restricted to the backscatter direction of the laser. All data were obtained only for the backscatter direction. In the forward direction of the laser, there is no frequency upshift. At an oblique angle that depends on the normalized laser field amplitude, ω/ω0 ~ O(a3) for large a, where ω0 is the laser frequency and a is the normalized laser electric field amplitude. Also, in Fig. 3, a = …
Spin-Dependent Tunneling In Magnetic Tunnel Junctions, Evgeny Y. Tsymbal, O. N. Mryasov, Patrick R. Leclair
Spin-Dependent Tunneling In Magnetic Tunnel Junctions, Evgeny Y. Tsymbal, O. N. Mryasov, Patrick R. Leclair
Evgeny Tsymbal Publications
The phenomenon of electron tunneling has been known since the advent of quantum mechanics, but continues to enrich our understanding of many fields of physics, as well as creating sub-fields on its own. Spin-dependent tunneling in magnetic tunnel junctions (MTJs) has recently aroused enormous interest and has developed in a vigorous field of research. The large tunneling magnetoresistance (TMR) observed in MTJs garnered much attention due to possible applications in non-volatile random access memories and next-generation magnetic field sensors. This led to a number of fundamental questions regarding the phenomenon of spindependent tunneling. In this review article we present an …
Commentary: The Parameter-Free Track Structure Model Of Scholz And Kraft For Heavy-Ion Cross Sections, Robert Katz
Commentary: The Parameter-Free Track Structure Model Of Scholz And Kraft For Heavy-Ion Cross Sections, Robert Katz
Robert Katz Publications
The "parameter-free", "local effects" theory of Scholz and Kraft is an extension to mammalian cells of the theory of RBE for dry enzymes and viruses of Butts and Katz. Its claim for parameter freedom has been challenged elsewhere. Here we examine its conceptual base and find errors in its use of the physical concept of cross section and its neglect of the radiobiological relationship between target size and radio-sensitivity in evaluating the radiation damage to "point targets".
Low Fluence, Robert Katz, F. A. Cucinotta
Low Fluence, Robert Katz, F. A. Cucinotta
Robert Katz Publications
The question of the appropriate extrapolation to low dose has long been a subject of controversy. A linear no-threshold model is favored by regulatory bodies as the basis of RBE assignments and estimates of radiation hazards to the general population. This model is largely supported by extensive application of the linear-quadratic survival formula "fitted" statistically to a wide variety of experimental data obtained at doses typically exceeding 1 Gy, and then extrapolated to mGy for practical applications, and even to the prediction of hazards from single electrons. Such extrapolations are questionable at best, and may even prove hazardous for risk …
Spontaneous Magnetization Generated By Spin, Pulsating, And Planar Combustion Synthesis, Karen S. Martirosyan, J. R. Claycomb, G. Gogoshin, R. A. Yarbrough, J. H. Miller Jr., D. Luss
Spontaneous Magnetization Generated By Spin, Pulsating, And Planar Combustion Synthesis, Karen S. Martirosyan, J. R. Claycomb, G. Gogoshin, R. A. Yarbrough, J. H. Miller Jr., D. Luss
Physics and Astronomy Faculty Publications and Presentations
The motion of the high temperature front during combustion synthesis of ferrite materials generates residual magnetization in cylindrical product samples. The combustion wave created a current density of up to 10 A/cm2, which influenced the magnetization distribution. The measured peak magnetic field intensity was up to 8 mT. Qualitatively different magnetic field maps were generated in ferrite samples synthesized by different combustion modes. The average magnetization vector generated by either planar or pulsating combustion was oriented at a smaller angle with respect to the pellet axis ~f<45°! than those generated by spin combustion ~60°
Mode-Cleaning And Injection Optics Of The Gravitational-Wave Detector Geo600, S. Goßler, M. M. Casey, A. Grant, H. Grote, Volker Quetschke
Mode-Cleaning And Injection Optics Of The Gravitational-Wave Detector Geo600, S. Goßler, M. M. Casey, A. Grant, H. Grote, Volker Quetschke
Physics and Astronomy Faculty Publications and Presentations
The British–German interferometric gravitational-wave detector GEO600 uses two high-finesse triangular ring cavities of 8 m optical pathlength each, as an optical mode-cleaning system. The modecleaner system is housed in an ultrahigh-vacuum environment to avoid contamination of the optics and to minimize both the influence of refractive index variations of the air and acoustic coupling to the optics. To isolate the cavities from seismic noise, all optical components are suspended as double pendulums. These pendulums are damped at their resonance frequencies at the upper pendulum stage with magnet-coil actuators. A suspended reaction mass supports three coils matching magnets bonded onto the …
The Effect Of An Adsorbate Upon Secondary Emission Properties Of Low -Energy Ion Bombarded Metallic And Semiconductor Substrates, Wendy Sara Vogan
The Effect Of An Adsorbate Upon Secondary Emission Properties Of Low -Energy Ion Bombarded Metallic And Semiconductor Substrates, Wendy Sara Vogan
Dissertations, Theses, and Masters Projects
The absolute probabilities for low energy ion bombardment induced secondary emission of electrons and anions have been measured as a function of adsorbate coverage of the surface. The primary ion beams were incident at less than 500 eV on metallic, semiconducting and insulating surfaces. The adsorbate used was chiefly oxygen, and the coverage range studied was zero to about one monolayer. The presence of an adsorbate was observed to significantly enhance secondary emission of electrons and anions in the case of O - and Na+ impacting metallic (W, Al) and semiconducting (Si) substrates; the effect of the adsorbate was little …
Hydrogen Incorporation And Diffusivity In Plasma-Exposed Bulk Zno, K. Ip, M. E. Overberg, Y. W. Heo, D. P. Norton, S. J. Pearton, C. E. Stutz, B. Luo, F. Ren, David C. Look, J. M. Zavada
Hydrogen Incorporation And Diffusivity In Plasma-Exposed Bulk Zno, K. Ip, M. E. Overberg, Y. W. Heo, D. P. Norton, S. J. Pearton, C. E. Stutz, B. Luo, F. Ren, David C. Look, J. M. Zavada
Physics Faculty Publications
Hydrogen incorporation depths of >25 μm were obtained in bulk, single-crystal ZnO during exposure to 2H plasmas for 0.5 h at 300 °C, producing an estimated diffusivity of ∼ 8×10−10 cm2/V⋅s at this temperature. The activation energy for diffusion was 0.17±0.12 eV, indicating an interstitial mechanism. Subsequent annealing at 500–600 °C was sufficient to evolve all of the hydrogen out of the ZnO, at least to the sensitivity of secondary ion mass spectrometry (<5×1015 cm−3). The thermal stability of hydrogen retention is slightly greater when the hydrogen is incorporated by direct implantation …5×10
Development Of A Portable Carbon Monoxide Sensor Based On An External Cavity Diode Laser At 1565 Nm, Eva Shirley Norris
Development Of A Portable Carbon Monoxide Sensor Based On An External Cavity Diode Laser At 1565 Nm, Eva Shirley Norris
Theses
Carbon monoxide is a major trace gas pollutant with road traffic being responsible for most emissions. Work has been done on the development of a carbon monoxide sensor, which is potentially capable of measuring the gas in vehicle exhaust emissions. This is based on tunable diode laser absorption spectroscopy The device must distinguish carbon monoxide from other gas species and from particulate matter. The device should also operate with a response time of the order of one second, have the potential for portability and a capacity for remote operation. Experimental work presented compares and contrasts the characteristics of the free-running …
Trace Analysis Of Organic Substances, Alan Giltinan
Trace Analysis Of Organic Substances, Alan Giltinan
Theses
One of the major challenges facing the pharmaceutical industry is the control of the amount of trace contaminants during the manufacture of organic substances. Lowering the level of contamination improves the quality of the product and reduces possible side effects.
One of the main techniques used to detect trace contaminants is UV-VIS spectroscopy, where the unique absorption fingerprint of a chemical reveals its presence. UV-VIS absorption is based upon the Beer-Lambert Law. The critical point to note about this law is that the absorption is exponentially dependent on both the concentration of the absorber and the pathlength traversed by the …
Combined Kerr Microscope And Magnetic Force Microscope For Variable Temperature Ultrahigh Vacuum Investigations, D. Peterka, Axel Enders, G. Haas, Klaus Kern
Combined Kerr Microscope And Magnetic Force Microscope For Variable Temperature Ultrahigh Vacuum Investigations, D. Peterka, Axel Enders, G. Haas, Klaus Kern
Axel Enders Publications
A new system combining a Kerr microscope and a magnetic force microscope for the study of magnetic domains in ultrathin films under ultrahigh vacuum conditions is presented. Due to the overlapping imaging range of both techniques magnetic domains can be investigated over a lateral range from millimeter down to fractions of a micrometer. Experiments can be done at variable temperatures, from 80 K to 600 K. First results are presented showing the same magnetic domain in a three monolayer Fe film on Cu (100) imaged with both techniques.
Temperature Dependence Of The Surface Anisotropy Of Fe Ultrathin Films On Cu(001), Axel Enders, D. Peterka, D. Repetto, N. Lin, Ivan Dmitriev, Klaus Kern
Temperature Dependence Of The Surface Anisotropy Of Fe Ultrathin Films On Cu(001), Axel Enders, D. Peterka, D. Repetto, N. Lin, Ivan Dmitriev, Klaus Kern
Axel Enders Publications
We report an experimental approach to separate temperature dependent reversible and irreversible contributions to the perpendicular magnetic anisotropy of Fe films grown at low temperatures on Cu(001) substrates. The surface anisotropy KS(T) is found to decrease linearly with temperature, causing a thermally induced spin reorientation into the plane. The irreversible shift of the spin reorientation transition and the coercivity of the iron films are directly correlated to the increasing Fe island size during annealing. The increased coercivity is discussed in terms of domain wall energy inhomogeneities provided by the islands.
Light Storage With Light Of Arbitrary Polarization, Hong Gao, Mark Rosenberry, Herman Batelaan
Light Storage With Light Of Arbitrary Polarization, Hong Gao, Mark Rosenberry, Herman Batelaan
Department of Physics and Astronomy: Faculty Publications
We have demonstrated the phase coherence of stored light in Rb vapor with a completely optical technique. Combining this technique with polarization measurements provides strong evidence that arbitrary polarizations can be stored. The fidelity obtained exceeds 95% for all polarizations. We view the capability to store polarizations as a first step towards building a quantum memory in such a system.
Perturbative And Nonperturbative Calculations Of Electron-Hydrogen Ionization, Stephenie J. Jones, Don H. Madison, Mark D. Baertschy
Perturbative And Nonperturbative Calculations Of Electron-Hydrogen Ionization, Stephenie J. Jones, Don H. Madison, Mark D. Baertschy
Physics Faculty Research & Creative Works
We compare calculations of the fully differential cross section for ionization of atomic hydrogen by electron impact using two different theories-the perturbative CDW-EIS (continuum distorted wave with eikonal initial state) approximation and the nonperturbative ECS (exterior complex scaling) method. For this comparison, we chose an impact energy of 54.4 eV, since this is near the lowest energy that our perturbative approach would be applicable and near the highest energy that can be tackled by the ECS method with our present computational resources. For the case of equal-energy outgoing electrons investigated here, the two theories predict nearly identical results except that …
Aspects Of Conformal Field Theory From Calabi-Yau Arithmetic, Rolf Schimmrigk
Aspects Of Conformal Field Theory From Calabi-Yau Arithmetic, Rolf Schimmrigk
Faculty Articles
This paper describes a framework in which techniques from arithmetic algebraic geometry are used to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and aspects of the underlying conformal field theory. As an application the algebraic number field determined by the fusion rules of the conformal field theory is derived from the number theoretic structure of the cohomological Hasse-Weil L-function determined by Artin's congruent zeta function of the algebraic variety. In this context a natural number theoretic characterization arises for the quantum dimensions in this geometrically determined algebraic number field.