Exact renormalization of massless QED(2)

We perform the exact renormalization of two-dimensional massless gauge theories. Using these exact results we discuss the cluster property and confinement in both the anomalous and chiral Schwinger models.

Excitations and finite-size properties of an integrable supersymmetric electronic model

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

BOUND HYDROGENIC STATES IN A MAGNETIC FIELD: A FINITE-DIFFERENCE APPROACH

A finite-difference scheme is used to calculate bound electronic states of an electron in a hydrogen atom subject to a magnetic field. The numerical results are in good agreement with exact results, in the absence of the magnetic field, and with a two-parameters variational calculation, when the magnetic field is applied.

Modal transformation analyses for double three-phase transmission lines

Eigenvector and eigenvalue analyses are carried out for double three-phase transmission lines, studying the application of a constant and real phase-mode transformation matrix and the errors of this application to mode line models. Employing some line transposition types, exact results are obtained with a single real transformation matrix based on Clarke's matrix and line geometrical characteristics. It is shown that the proposed technique leads to insignificant errors when a nontransposed case is considered. For both cases, transposed and nontransposed, the access to the electrical values (voltage and current, for example) is provided through a simple matrix multiplication without convolution methods. Using this facility, an interesting model for transmission line analysis is obtained even though the nontransposed case errors are not eliminated. The main advantages of the model are related to the transformation matrix: single, real, frequency independent, and identical for voltage and current.

s-wave approximation for asymmetry in nonmesonic decay of finite hypernuclei

We establish the bridge between the commonly used Nabetani-Ogaito-Sato-Kishimoto (NOSK) formula for the asymmetry parameter a(Lambda) in the Lambda p -> np emission of polarized hypernuclei, and the shell-model (SM) formalism for finite hypernuclei. We demonstrate that the s-wave approximation leads to a SM formula for a(Lambda) that is as simple as the NOSK one and that reproduces the exact results for (5)(Lambda)He and (12)(Lambda)C better than initially expected. The simplicity achieved here is indeed remarkable. The new formalism makes the theoretical evaluation of a(Lambda) more transparent and explains clearly why the one-meson exchange model is unable to account for the experimental data of (5)(Lambda)He.

Induced variational method from supersymmetric quantum mechanics and the screened Coulomb potential

The formalism of supersymmetric quantum mechanics supplies a trial wave function to be used in the variational method. The screened Coulomb potential is analyzed within this approach. Numerical and exact results for energy eigenvalues are compared.

Renormalization-group calculation of dynamical properties for impurity models

The numerical renormalization-group method was originally developed to calculate the thermodynamical properties of impurity Hamiltonians. A recently proposed generalization capable of computing dynamical properties is discussed. As illustrative applications, essentially exact results for the impurity specttral densities of the spin-degenerate Anderson model and of a model for electronic tunneling between two centers in a metal are presented. © 1991.

Exact solution for a fermion in the background of a scalar inversely linear potential

The problem of a fermion subject to a general scalar potential in a two-dimensional world is mapped into a Sturm-Liouville problem for nonzero eigenenergies. The searching for possible bounded solutions is done in the circumstance of power-law potentials. The normalizable zero-eigenmode solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential, exact bounded solutions are found in closed form. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. (C) 2004 Elsevier B.V. All rights reserved.

Exact dynamics of single-qubit-gate fidelities under the measurement-based quantum computation scheme

Measurement-based quantum computation is an efficient model to perform universal computation. Nevertheless, theoretical questions have been raised, mainly with respect to realistic noise conditions. In order to shed some light on this issue, we evaluate the exact dynamics of some single-qubit-gate fidelities using the measurement-based quantum computation scheme when the qubits which are used as a resource interact with a common dephasing environment. We report a necessary condition for the fidelity dynamics of a general pure N-qubit state, interacting with this type of error channel, to present an oscillatory behavior, and we show that for the initial canonical cluster state, the fidelity oscillates as a function of time. This state fidelity oscillatory behavior brings significant variations to the values of the computational results of a generic gate acting on that state depending on the instants we choose to apply our set of projective measurements. As we shall see, considering some specific gates that are frequently found in the literature, the fast application of the set of projective measurements does not necessarily imply high gate fidelity, and likewise the slow application thereof does not necessarily imply low gate fidelity. Our condition for the occurrence of the fidelity oscillatory behavior shows that the oscillation presented by the cluster state is due exclusively to its initial geometry. Other states that can be used as resources for measurement-based quantum computation can present the same initial geometrical condition. Therefore, it is very important for the present scheme to know when the fidelity of a particular resource state will oscillate in time and, if this is the case, what are the best times to perform the measurements.

Role of ATM and PTEN in prostatic carcinogenic dog prostate: validation of aCGH results

The canis lupus familiares is the only species besides human that spontaneously develop prostatic carcinoma (PCa). In addition, the metastatic sites are similar to those frequently reported in men. For these reasons, the dog is the best natural model to study the molecular mechanisms in PCa development providing a natural animal model for treatment by molecular targets. Previously, we investigated copy number alterations by arrayCGH (Canine Genome CGH Microarray 4x44K-G2519F, Agilent Technologies) in canine prostatic lesions: 3 benign prostatic hyperplasias (BPH), 4 proliferative inflammatory atrophies (PIA), and 14 PCa. Five histologically normal prostatic tissues were used as reference. Genomic alterations were evaluated using Genomic Workbench Standard Edition 5.0.14. This previous study revealed significant copy number losses of Atm and Pten exclusively in PCa. In the present study, ATM and PTEN immunoexpression were investigated using a tissue microarray (TMA) containing 149 canine prostatic paraffin-embedded lesions (BPH, PIA and PCa) collected from 67 animals. Immunohistochemical reactions were performed using the polyclonal rabbit antibody anti-PTEN (Santa Cruz Biotech, 1:50) and anti-ATM (Abcam, 1:50). The sections were developed with diaminobenzidine (DAB) and peroxidase. The immunohistochemical staining was assessed in each core by the distribution of positive cells for each antibody per lesion (score 1: <25% cells positive, 2: 26% to 50%, 3: being 51% and 75% and 4:> 75%) and intensity (1: weak, 2: moderate, 3: intense). Chi-square or Fisher exact test was used to determine the association between the categorical variables using GraphPad Prism 5 (GraphPad Software Inc., La Jolla, CA). Distribution of positive cells did not differ among lesions. PCa and PIA showed more samples with weak intensity for ATM when compared to normal prostatic tissue and BPH (PCa: p=0,032 and PIA: p=0,025). Benign prostatic hyperplasia and normal samples presented intense PTEN immunostaining than PCa (p=0,021) and PIA (p=0,0013). These results suggest that ATM and PTEN proteins expression in canine prostatic carcinoma are downregulated possibly by copy number losses. These findings are similar from those described in prostate carcinomas from human corroborating for the use of dogs as a natural model to study prostatic disease in men.