Geofysisch onderzoek binnen het \u27Nieuwerck\u27 van de kathedraal van Antwerpen (Antwerpen, provincie Antwerpen)

Van 11 tot en met 15 februari 2013 werd door ADEDE bvba in de tuin van het Nieuwerck te Antwerpen een non-destructieve geofysische prospectie uitgevoerd. Deze tuin bevindt zich ten oosten van de Onze-Lieve-Vrouwekathedraal, tussen de Groenplaats, de Melkmarkt en de Lijnwaadmarkt. De totale toegankelijke oppervlakte van het onderzoeksterrein (i. e. vrij van vegetatie) bedroeg 415m². Ondanks een verstoorde (puin)bodem en het versnipperde onderzoeksgebied (bomen, struiken en een vijver) was de inzet van geofysische detectiemethoden zinvol. De grondradar met 200MHz antenne leverde daarbij wel betere resultaten op dan de conductiviteits- en de magnetische susceptibiliteitmetingen met behulp van de EM31-MK2. Binnen het dossier van het Nieuwerck hebben de gekozen geofysische methodes aangetoond dat er een groot aantal structuren in de bodem kunnen geregistreerd worden, ook al is er een hoge graad van verstoring (door heterogene grond met puin). Na uitvoering van de detectie en terugkoppeling met bestaande boorgegevens konden met zekerheid drie en waarschijnlijk twaalf structuren herkend worden, alsook werd er een beeld gevormd van hoe de opbouw van de opvulling van het Nieuwerck in elkaar zit. Door de dikte van de opvulling konden dieperliggende structuren niet vastgesteld worden

Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity

We examine the quantization of the motion of two charged vortices in a Ginzburg--Landau theory for the fractional quantum Hall effect recently proposed by the first two authors. The system has two second-class constraints which can be implemented either in the reduced phase space or Dirac-Gupta-Bleuler formalism. Using the intrinsic formulation of statistics, we show that these two ways of implementing the constraints are inequivalent unless the vortices are quantized with conventional statistics; either fermionic or bosonic.Comment: 14 pages, PHYZZ

Operator Algebra in Chern-Simons Theory on a Torus

We consider Chern-Simons gauge theory on a torus with both nonrelativistic and relativistic matter. It is shown that the Hamiltonian and two total momenta commute among themselves only in the physical Hilbert space. We also discuss relations among degenerate physical states, degenerate vacua, and the existence of multicomponent Schrodinger wavefunctions.Comment: 12 pages, TPI-Minn-92/41-T, UMN-TH-1105/9

Ordered spectral statistics in 1D disordered supersymmetric quantum mechanics and Sinai diffusion with dilute absorbers

Some results on the ordered statistics of eigenvalues for one-dimensional random Schr\"odinger Hamiltonians are reviewed. In the case of supersymmetric quantum mechanics with disorder, the existence of low energy delocalized states induces eigenvalue correlations and makes the ordered statistics problem nontrivial. The resulting distributions are used to analyze the problem of classical diffusion in a random force field (Sinai problem) in the presence of weakly concentrated absorbers. It is shown that the slowly decaying averaged return probability of the Sinai problem, \mean{P(x,t|x,0)}\sim \ln^{-2}t, is converted into a power law decay, \mean{P(x,t|x,0)}\sim t^{-\sqrt{2\rho/g}}, where $g$ is the strength of the random force field and $\rho$ the density of absorbers.Comment: 10 pages ; LaTeX ; 4 pdf figures ; Proceedings of the meeting "Fundations and Applications of non-equilibrium statistical mechanics", Nordita, Stockholm, october 2011 ; v2: appendix added ; v3: figure 2.left adde

Vortices on Higher Genus Surfaces

We consider the topological interactions of vortices on general surfaces. If the genus of the surface is greater than zero, the handles can carry magnetic flux. The classical state of the vortices and the handles can be described by a mapping from the fundamental group to the unbroken gauge group. The allowed configurations must satisfy a relation induced by the fundamental group. Upon quantization, the handles can carry ``Cheshire charge.'' The motion of the vortices can be described by the braid group of the surface. How the motion of the vortices affects the state is analyzed in detail.Comment: 28 pages with 10 figures; uses phyzzx and psfig; Caltech preprint CALT-68-187

Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta

The usual approximation scheme is used to study the solution of the Duffin-Kemmer-Petiau (DKP) equation for a vector Yukawa potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for arbitrary total angular momentum in closed form. Further, the approximate energy equation and wave function spinor components are also given for case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levelsComment: 17 pages; Communications in Theoretical Physics (2012). arXiv admin note: substantial text overlap with arXiv:1205.0938, and with arXiv:quant-ph/0410159 by other author