Interacting Electrons on a Square Fermi Surface

Electronic states near a square Fermi surface are mapped onto quantum chains. Using boson-fermion duality on the chains, the bosonic part of the interaction is isolated and diagonalized. These interactions destroy Fermi liquid behavior. Non-boson interactions are also generated by this mapping, and give rise to a new perturbation theory about the boson problem. A case with strong repulsions between parallel faces is studied and solved. There is spin-charge separation and the square Fermi surface remains square under doping. At half-filling, there is a charge gap and insulating behavior together with gapless spin excitations. This mapping appears to be a general tool for understanding the properties of interacting electrons on a square Fermi surface.Comment: 25 pages, Nordita preprint 94/22

The Christology of St. Paul\u27s Captivity Letters

I purpose, therefore, to write on the Christology of Paul\u27s captivity letters. My general plan of procedure shall be to tabulate in categorical fashion the sum of the christological doctrines taught by Paul in these same letters, with appended remarks for the purpose of clarification. Uppermost in my mind shall be the expounding of the truth as it is so powerfully adduced in these inspired epistles. I shall determine to defeat and expose the heretical doctrines after careful collation of the source material, The scope of my treatment shall begin with the pre-existent Christ in heaven, take special notice of him as God manifest in the flesh, and end with the glorified Christ, who 1ives and reigns through all eternity. A minor object of my thesis shell take into account whether or not Paul deviated from his doctrine on Christ in these his captivity letters from his former epistles

Dual Organization Of The General Shop With Related Subjects

Dual organization of the general shop with related subjects, as the term applies to this thesis, will be construed to mean an organization combining within the department both the general shop and the related subjects that support the general shop curriculum. These courses are normally handled outside of the specific department, and they include, for an example, such courses as Mathematics, English, Chemistry, and Physics. The following factors Influenced the writing of this paper on dual organization of the general shop with related subjects. First of all, the writer has been made aware of the facts dealing with the problems encountered by shop instructors. It has been noted that the general shop has been widely used as a dumping ground for students who seem to be academically slow, and it is seemingly expected that the shop teacher can bring out the good qualities of these students if they have any. Also noted was the fact that in many instances, not enough time has been given to correlation of subject matter. Purpose The purpose of this study is to set up a proposed scheme and point out its relative merits and advantages over the more conventional type of organization. The writer also plans to determine how it can be organized and taught effectively in the situation which warrants its use, especially as it will apply to the Texas high school. It is thought that if favorable conclusions can be reached on the basis of such purposes, we will have at hand a powerful educational tool that may well serve to stimulate the learning process in the general shop curriculum in the Texas high school

The Latin Church of North Africa in the Age of Tertullian and Cyprian

We shall attempt to present.in outline practically all that concerned itself with or was in any was affected by this church during this period. The treatment of the various chapter heads makes no claim to exhaustiveness; each caption could bear appreciable detail were this thesis to assume the proportions of a book

Cluster formation through the action of a single picosecond laser pulse

We demonstrate experimentally and describe theoretically the formation of carbon nanoclusters created by single picosecond laser pulses. We show that the average size of a nanocluster is determined exclusively by single laser pulse parameters and is independent of the gas fill (He, Ar, Kr, Xe) and pressure in a range from 20mTorr to 200 Torr. Simple kinetic theory allows estimates to be made of the cluster size, which are in qualitative agreement with the experimental data. We conclude that the role of the buffer gas is to induce a transition between thin solid film formation on the substrate and foam formation by diffusing the clusters through the gas, with no significant effect upon the average cluster size

Picosecond high-repetition-rate pulsed laser ablation of dielectrics: the effect of energy accumulation between pulses

We report experiments on the ablation of arsenic trisulphide and silicon using high-repetition-rate (megahertz) trains of picosecond pulses. In the case of arsenic trisulphide, the average single pulse fluence at ablation threshold is found to be >100 times lower when pulses are delivered as a 76-MHz train compared with the case of a solitary pulse. For silicon, however, the threshold for a 4.1-MHz train equals the value for a solitary pulse. A model of irradiation by high-repetition-rate pulse trains demonstrates that for arsenic trisulphide energy accumulates in the target surface from several hundred successive pulses, lowering the ablation threshold and causing a change from the laser-solid to laser-plasma mode as the surface temperature increases

Improved Healing of Pressure Ulcers Using Dermapulse, A New Electrical Stimulation Device

A double-blind, clinical study of pulsed electrical stimulation using the Dermapulse® device was carried out on 40 pressure ulcers, randomized to receive either active (stim) or sham treatment. Electrodes were placed over saline-moistened gauze on the ulcers. An electrical current of 35mA was delivered to the wound tissues at a frequency of 128 pulses per second. Polarity was negative until the wound debrided, then alternated from .positive to negative every three days. Ulcers were treated for 30 minutes twice daily for four weeks, after which sham patients could cross over to active treatment, and stim patients could continue active treatment. Ulcer healing was determined by measuring the length and width of the ulcer and calculating the L x W product. The same clinicians measured the ulcers each week, were kept blinded to treatment group, and were not the same persons who applied the treatment. Nine centers treated 40 ulcers (19 sham and 21 stim). Analysis of the characteristics of the patients, the ulcers, and concomitant wound care by both univariate and multivariate analyses showed comparability of the groups. After four weeks, the stim ulcers healed more than twice as much as the sham ulcers (49.8% vs. 23.4%; (p = 0.042). The stim ulcers healed 12.5% per week compared to 5.8% for the sham group. In the 15 crossover patients, four weeks of active stimulation caused nearly four times as much healing as their four weeks of sham treatment (47.9% vs. 13.4%; p = 0.012). By the last week of-active stimulation they had healed an average of 64%, and complete healing occurred in 40% of these ulcers after an average of nine weeks. Seventeen of the active treatment ulcers had extended therapy, and by their last week of treatment had healed an average of 75%. Forty-one percent of these ulcers healed completely after an average of 11.8 weeks. There were no significant safety problems identified

Ablation of solids by femtosecond lasers: ablation mechanism and ablation thresholds for metals and dielectrics

The mechanism of ablation of solids by intense femtosecond laser pulses is described in an explicit analytical form. It is shown that at high intensities when the ionization of the target material is complete before the end of the pulse, the ablation mechanism is the same for both metals and dielectrics. The physics of this new ablation regime involves ion acceleration in the electrostatic field caused by charge separation created by energetic electrons escaping from the target. The formulae for ablation thresholds and ablation rates for metals and dielectrics, combining the laser and target parameters, are derived and compared to experimental data. The calculated dependence of the ablation thresholds on the pulse duration is in agreement with the experimental data in a femtosecond range, and it is linked to the dependence for nanosecond pulses.Comment: 27 pages incl.3 figs; presented at CLEO-Europe'2000 11-15 Sept.2000; papers QMD6 and CTuK11

Birth and decay of coherent optical phonons in femtosecond-laser-excited bismuth

The transient reflectivity of bismuth crystal excited by a 45 fs laser pulse in the near-infrared range has been recovered with an accuracy of 10-5, at initial sample temperatures ranging from 50 to 510 K, and at pump fluences from 2 mJ/ cm2 to 21 mJ/ cm2. The coherent phonon excitation and decay processes were imprinted into the time-dependent reflectivity and this allows us to uncover the temporal phonon history preceding the structural transformation of solid Bi. Analysis showed that the first coherent atomic displacement was produced by the polarization force and the electron pressure force during the laser pulse, and that manifests itself by a negative change in the reflectivity. The frequency of the subsequent reflectivity oscillations was chirped, redshifted from the initial value due to the lattice heating. The amplitude decreased gradually while electrons transferred their energy to the lattice. Heating and thermal expansion of the lattice transformed the initially coherent harmonic vibrations of atoms into strongly nonlinear chaotic motion that signifies the onset of disordering of the solid. This process was identified through measurement of the damping rate of the reflectivity oscillations and interpretation of this rate as the decay rate of an optical phonon into two acoustic phonons. The analysis of the reflectivity oscillations provides evidence that the overheated solid experiences only the onset of the solid-liquid phase transition but did not proceed into the liquid phase. General relations between the laser-exerted forces, the atomic motion, and the optical parameters were established. The proposed theory reproduces well the measured transient reflectivity across a wide range of crystal temperatures and laser excitation fluences

Nonuniversal spectral properties of the Luttinger model

The one electron spectral functions for the Luttinger model are discussed for large but finite systems. The methods presented allow a simple interpretation of the results. For finite range interactions interesting nonunivesal spectral features emerge for momenta which differ from the Fermi points by the order of the inverse interaction range or more. For a simplified model with interactions only within the branches of right and left moving electrons analytical expressions for the spectral function are presented which allows to perform the thermodynamic limit. As in the general spinless model and the model including spin for which we present mainly numerical results the spectral functions do not approach the noninteracting limit for large momenta. The implication of our results for recent high resolution photoemission measurements on quasi one-dimensional conductors are discussed.Comment: 19 pages, Revtex 2.0, 5 ps-figures, to be mailed on reques