Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded quantum inverse scattering method. The Bethe ansatz equations for all these models are derived by using the algebraic Bethe ansatz method.

Integrable extended hubbard models with boundary Kondo impurities

Three kinds of integrable Kondo impurity additions to one-dimensional q-deformed extended Hubbard models are studied by means of the boundary Z(2)-graded quantum inverse scattering method. The boundary K matrices depending on the local magnetic moments of the impurities are presented as nontrivial realisations of the reflection equation algebras in an impurity Hilbert space. The models are solved by using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained.

Strong Grobner bases for polynomials over a principal ideal ring

Grobner bases have been generalised to polynomials over a commutative ring A in several ways. Here we focus on strong Grobner bases, also known as D-bases. Several authors have shown that strong Grobner bases can be effectively constructed over a principal ideal domain. We show that this extends to any principal ideal ring. We characterise Grobner bases and strong Grobner bases when A is a principal ideal ring. We also give algorithms for computing Grobner bases and strong Grobner bases which generalise known algorithms to principal ideal rings. In particular, we give an algorithm for computing a strong Grobner basis over a finite-chain ring, for example a Galois ring.

Izergin-Korepin model with a boundary

The Izergin-Korepin model on a semi-infinite lattice is diagonalized by using the level-one vertex operators of the twisted quantum affine algebra U-q[((2))(2)]. We give the bosonization of the vacuum state with zero particle content. Excitation states are given by the action of the vertex operators on the vacuum state. We derive the boundary S-matrix. We give an integral expression of the correlation functions of the boundary model, and derive the difference equations which they satisfy. (C) 2001 Elsevier Science B.V. All rights reserved.

Matrix-product codes over Fq

Codes C-1,...,C-M of length it over F-q and an M x N matrix A over F-q define a matrix-product code C = [C-1 (...) C-M] (.) A consisting of all matrix products [c(1) (...) c(M)] (.) A. This generalizes the (u/u + v)-, (u + v + w/2u + v/u)-, (a + x/b + x/a + b + x)-, (u + v/u - v)- etc. constructions. We study matrix-product codes using Linear Algebra. This provides a basis for a unified analysis of /C/, d(C), the minimum Hamming distance of C, and C-perpendicular to. It also reveals an interesting connection with MDS codes. We determine /C/ when A is non-singular. To underbound d(C), we need A to be 'non-singular by columns (NSC)'. We investigate NSC matrices. We show that Generalized Reed-Muller codes are iterative NSC matrix-product codes, generalizing the construction of Reed-Muller codes, as are the ternary 'Main Sequence codes'. We obtain a simpler proof of the minimum Hamming distance of such families of codes. If A is square and NSC, C-perpendicular to can be described using C-1(perpendicular to),...,C-M(perpendicular to) and a transformation of A. This yields d(C-perpendicular to). Finally we show that an NSC matrix-product code is a generalized concatenated code.

Lower Bounds on the State Complexity of Geometric Goppa Codes

We reinterpret the state space dimension equations for geometric Goppa codes. An easy consequence is that if deg G less than or equal to n-2/2 or deg G greater than or equal to n-2/2 + 2g then the state complexity of C-L(D, G) is equal to the Wolf bound. For deg G is an element of [n-1/2, n-3/2 + 2g], we use Clifford's theorem to give a simple lower bound on the state complexity of C-L(D, G). We then derive two further lower bounds on the state space dimensions of C-L(D, G) in terms of the gonality sequence of F/F-q. (The gonality sequence is known for many of the function fields of interest for defining geometric Goppa codes.) One of the gonality bounds uses previous results on the generalised weight hierarchy of C-L(D, G) and one follows in a straightforward way from first principles; often they are equal. For Hermitian codes both gonality bounds are equal to the DLP lower bound on state space dimensions. We conclude by using these results to calculate the DLP lower bound on state complexity for Hermitian codes.

Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (0(m)vertical bar alpha(n)) representations of U-q[gl(m vertical bar n)]

We detail the automatic construction of R matrices corresponding to (the tensor products of) the (O-m\alpha(n)) families of highest-weight representations of the quantum superalgebras Uq[gl(m\n)]. These representations are irreducible, contain a free complex parameter a, and are 2(mn)-dimensional. Our R matrices are actually (sparse) rank 4 tensors, containing a total of 2(4mn) components, each of which is in general an algebraic expression in the two complex variables q and a. Although the constructions are straightforward, we describe them in full here, to fill a perceived gap in the literature. As the algorithms are generally impracticable for manual calculation, we have implemented the entire process in MATHEMATICA; illustrating our results with U-q [gl(3\1)]. (C) 2002 Published by Elsevier Science B.V.

Attitudes of paediatric medical ward staff to a dog visitation programme

No previous studies regarding either structured, strictly controlled pet visitation programmes in paediatric hospital wards or hospital staff attitudes towards them have been conducted in Australia. Information regarding these is essential in order to minimize problems during implementation of such programmes. The aim of the study was to analyse hospital staff perceptions regarding the introduction of a pet visitation programme in an acute paediatric medical ward prior to and following implementation of the programme and to compare attitudes between the various professional groups. The study consisted of two cross-sectional surveys. A total of 224 anonymous questionnaires were distributed to administrators, doctors, nursing staff and therapists 6 weeks before and 195 were distributed 12 weeks after the introduction of a pet visitation programme. Responses were received from 115 respondents (before the programme introduction) and 45 respondents (after the programme introduction). Prior to the introduction of the dog visitation programme, there were high staff expectations that the programme would distract children from their illness, relax children and that it was a worthwhile project for the hospital to undertake. Following implementation of the programme these expectations were strongly endorsed, in addition to the perception that the ward was a happier place, the work environment was more interesting and that nurses accepted the dogs. After implementation staff were less concerned about the possibility of dog bites and dogs doing damage to equipment. Allied health staff and non-clinical staff were more positive about the programme with respect to ward climate and acceptance than were doctors and nurses. We conclude that well-planned dog visitation programmes result in positive anticipation among staff and high levels of satisfaction following programme impact.

One-dimensional quantum walk with unitary noise

The effect of unitary noise on the discrete one-dimensional quantum walk is studied using computer simulations. For the noiseless quantum walk, starting at the origin (n=0) at time t=0, the position distribution P-t(n) at time t is very different from the Gaussian distribution obtained for the classical random walk. Furthermore, its standard deviation, sigma(t) scales as sigma(t)similar tot, unlike the classical random walk for which sigma(t)similar toroott. It is shown that when the quantum walk is exposed to unitary noise, it exhibits a crossover from quantum behavior for short times to classical-like behavior for long times. The crossover time is found to be Tsimilar toalpha(-2), where alpha is the standard deviation of the noise.

gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory

Motivated by application of current superalgebras in the study of disordered systems such as the random XY and Dirac models, we investigate gl(2\2) current superalgebra at general level k. We construct its free field representation and corresponding Sugawara energy-momentum tensor in the non-standard basis. Three screen currents of the first kind are also presented. (C) 2003 Elsevier B.V. All rights reserved.

Representações pós-analógicas do corpo e da identidade

«As actuais condições (tecnológicas) permitem-nos mudar a configuração da nossa pele por meio da cirurgia plástica com a mesma facilidade com que manipulamos a representação da nossa pele por meio da imagem digital, de tal forma que podemos transformar-nos na imagem de nós mesmos que desejarmos.» (Eduardo Kac, 1998, p. 239) De que forma o indivíduo de uma sociedade pós-industrial encontra resposta nas novas tecnologias para representar, física ou virtualmente, a sua identidade? Como detém hoje, a imagem, a capacidade de afirmar essa mesma identidade? De que modo se esbate a fronteira entre o Corpo e as Tecnologias?

Influência do viés de seleção e de aferição em estimativas de tendência secular da estatura baseadas em dados da Marinha do Brasil

São apresentados dados sobre a ocorrência de viés nas estimativas de tendência secular em estatura, baseadas em dados da Marinha do Brasil. Foram analisados três bancos de dados; um para o período entre 1940 e 1965 e dois entre 1970 e 1977.

Fatores associados à obesidade abdominal em mulheres em idade reprodutiva

OBJETIVO: Investigar variáveis potencialmente associadas à obesidade abdominal em mulheres em idade reprodutiva. MÉTODOS: Foram investigadas 781 mulheres a partir de informações coletadas pela Pesquisa Nutrição e Saúde realizada em 1996 no Município do Rio de Janeiro. A obesidade abdominal foi definida como circunferência da cintura (CC) > 80 cm ou como Razão Cintura Quadril (RCQ) > 0,85. A análise estatística envolveu o cálculo de medidas de tendência central. A associação entre obesidade abdominal e Índice de Massa Corporal, idade, paridade e uso de tabaco foi testada por meio do cálculo do "Odds Ratio" (OR), usando a técnica de regressão logística multivariada. RESULTADOS: As maiores freqüências de obesidade abdominal foram observadas em mulheres acima de 35 anos e com dois ou mais filhos (50,7%). Os valores de OR demonstram o efeito da interação entre paridade e idade para CC>80 cm quando controlado apenas o efeito dessas duas variáveis. A partir dos modelos de regressão logística, verificou-se que quando a população foi estratificada em mulheres com e sem sobrepeso, apenas a escolaridade esteve associada à RCQ, enquanto a associação com idade e paridade desapareceu para a CC>80 cm. CONCLUSÕES: A obesidade abdominal nesse grupo populacional independe da idade e da paridade quando ajustado pelo peso relativo, sendo suas maiores determinantes a adiposidade geral e a escolaridade. Ter maior escolaridade significou possuir uma RCQ menor. É fundamental implementar estratégias de prevenção para o desenvolvimento da obesidade, cujo enfoque sejam mulheres em idade reprodutiva.