Interfaces, strings, and a soft mode in the square lattice quantum dimer model

The quantum dimer model on the square lattice is a U(1) gauge theory that addresses aspects of the physics of high-Tc superconductors. Using a quantum Monte Carlo method, we show that the theory exists in a confining columnar valence bond solid phase. The interfaces separating distinct columnar phases display plaquette order, which, however, is not realized as a bulk phase. Static “electric” charges are confined by flux tubes that consist of multiple strands, each carrying a fractionalized flux ¼. A soft pseudo-Goldstone mode (which becomes exactly massless at the Rokhsar-Kivelson point) extends deep into the columnar phase, with potential implications for high-Tc physics.

Proposals for Specific Activities of the Basic Mandate and Priority Action Projects, 2nd round 2005: Documentation for the ESAPP Advisory Board Meeting of June 15th, 2005

Budget frame-figures for 2nd half 2005; priority listing of proposals for PAP 2nd round 2005; evaluation sheets of approved, revised and rejected proposals for Specific Activities of the BM and PAP.

Annual Planning for the Basic Mandate and Proposals for Priority Action Projects, 1st round 2005

Budget frame-figures for 2005; annual planning for the BM 2005; priority listing of proposals for PAP 2005; evaluation sheets of approved, postponed and rejected proposals for the BM and PAP.

Decomposition of $\rm R\times C$ contingency table chi -square: Application to binned DNA fragment size data and population structure analysis

The purpose of this research is to develop a new statistical method to determine the minimum set of rows (R) in a R x C contingency table of discrete data that explains the dependence of observations. The statistical power of the method will be empirically determined by computer simulation to judge its efficiency over the presently existing methods. The method will be applied to data on DNA fragment length variation at six VNTR loci in over 72 populations from five major racial groups of human (total sample size is over 15,000 individuals; each sample having at least 50 individuals). DNA fragment lengths grouped in bins will form the basis of studying inter-population DNA variation within the racial groups are significant, will provide a rigorous re-binning procedure for forensic computation of DNA profile frequencies that takes into account intra-racial DNA variation among populations. ^

Virtual-bound, filamentary and layered states in a box-shaped quantum dot of square potential form the exact numerical solution of the effective mass Schrodinger equation

The effective mass Schrodinger equation of a QD of parallelepipedic shape with a square potential well is solved by diagonalizing the exact Hamiltonian matrix developed in a basis of separation-of-variables wavefunctions. The expected below bandgap bound states are found not to differ very much from the former approximate calculations. In addition, the presence of bound states within the conduction band is confirmed. Furthermore, filamentary states bounded in two dimensions and extended in one dimension and layered states with only one dimension bounded, all within the conduction band which are similar to those originated in quantum wires and quantum wells coexist with the ordinary continuum spectrum of plane waves. All these subtleties are absent in spherically shaped quantum dots, often used for modeling.

Journal of researches into the natural history and geology of the countries visited during the voyage of H.M.S. Beagle round the world, under the command of Capt. Fitz Roy, R.N.

(1878 printing)

A Divine Round Trip: the Literary and Christological Function of the Descent/Ascent Leitmotif in the Gospel of John

The thesis of this dissertation is that the Descent/Ascent Leitmotif, which includes the language of not only descending and ascending, but also going, coming, and being sent, performs a significant literary and christological function in the Gospel of John. The Evangelist's Descent/Ascent Leitmotif becomes the Gospel's organizing principal, drawing together a constellation of verbs and a number of themes, including Jesus-Son's origin, identity, relationship to God, authority, signs and works, life, and glory. In the introductory chapter, after providing a layout of the dissertation, the discussion turns to the spacial dimensions and christological importance of the vertical and horizontal depictions of the descending, ascending, coming, going, and being sent verbs. The focus of chapter two is to explain and illustrate, using a version of the Cinderella story, a method that serves to identify the Leitmotif and the verbs, motifs, and themes the Leitmotif draws within its constellation. This approach, titled a thematic structural method, integrates works from thematic scholars Horst Daemmrich and Eugene Falk with works from literary structural scholars A. J Greimas and Roland Barthes, and is a tool to analyze the influence of the Leitmotif as the Gospel's organizing principal on the relationships between the Leitmotif and numerous themes from which John's Christology emerges. The task of chapter three is to explain the rationale for the selection of the Leitmotif's verbs of descending, ascending, coming, going, and being sent. Chapters four and five investigate how the Evangelist, with the repetition of the Leitmotif, constructs his narrative to tell the story of the historical Jesus and shape the Evangelist's Christology. Additionally, the focus is to analyze the transforming influences of the Descent/Ascent Leitmotif on the themes of Jesus-Son's origin, identity, relationship to the Father, and authority, through his signs and works, life, and glory. The Descent/Ascent Leitmotif depicts a divine round trip, and the emphasis of chapter six is to examine the role of the Leitmotif in Jesus-Son's departure from the world and return to God. The Evangelist's use of the Leitmotif in Jesus' prayer to the Father (John 17) and the promise of the Paraclete are included in this chapter. Due to the Descent/Ascent Leitmotif's inherent spatial overtones, elements related to Jesus' return, including heaven, world, the hour, and his form after his resurrection, are explored from a cosmological and ontological perspective.