The spectrum of the Liouville-von Neumann operator in the Hilbert-Schmidt space

The singular continuous spectrum of the Liouville operator of quantum statistical physics is, in general, properly included in the difference of the spectral values of the singular continuous spectrum of the associated Hamiltonian. The absolutely continuous spectrum of the Liouvillian may arise from a purely singular continuous Hamiltonian. We provide the correct formulas for the spectrum of the Liouville operator and show that the decaying states of the singular continuous subspace of the Hamiltonian do not necessarily contribute to the absolutely continuous subspace of the Liouvillian.

Minimal Hilbert series for quadratic algebras and the Anick conjecture

We study the question on whether the famous Golod–Shafarevich estimate, which gives a lower bound for the Hilbert series of a (noncommutative) algebra, is attained. This question was considered by Anick in his 1983 paper ‘Generic algebras and CW-complexes’, Princeton Univ. Press, where he proved that the estimate is attained for the number of quadratic relations $d\leq n^2/4$
and $d\geq n^2/2$, and conjectured that it is the case for any number of quadratic relations. The particular point where the number of relations is equal to $n(n-1)/2$ was addressed by Vershik. He conjectured that a generic algebra with this number of relations is finite dimensional. We announce here the result that over any infinite field, the Anick conjecture holds for $d \geq 4(n2+n)/9$ and an arbitrary number of generators. We also discuss the result that confirms the Vershik conjecture over any field of characteristic 0, and a series of related
asymptotic results.

Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges

We explore the challenges posed by the violation of Bell-like inequalities by d-dimensional systems exposed to imperfect state-preparation and measurement settings. We address, in particular, the limit of high-dimensional systems, naturally arising when exploring the quantum-to-classical transition. We show that, although suitable Bell inequalities can be violated, in principle, for any dimension of given subsystems, it is in practice increasingly challenging to detect such violations, even if the system is prepared in a maximally entangled state. We characterize the effects of random perturbations on the state or on the measurement settings, also quantifying the efforts needed to certify the possible violations in case of complete ignorance on the system state at hand.

Gestão de conflitos no espaço educativo: conceções de educadores de infância e professores do 1º ciclo do ensino básico

Relatório de estágio, apresentado à Escola Superior de Educação, para obtenção do grau de Mestre em Educação Pré-Escolar e em Ensino do 1º Ciclo do Ensino Básico. Orientadoras: Maria João Cardona Correia Antunes e Marta Andreia de Sousa Jacinto Uva

Academia de jovens com necessidades educativas especiais: espaço de integração de todo o cidadão

Relatório de estágio apresentado para a obtenção do grau de Mestre em educação e Comunicação Multimédia

Portugal e Brasil – dois países, quantas línguas? Critérios para a Definição de Entidades Linguísticas no Espaço Lusófono

A identificação de critérios para a definição de entidades linguísticas é complexa. No espaço lusófono, tal definição tem associadas consequências em termos linguísticos e sócio-políticos que se procuram caracterizar no presente trabalho, em que se recorre a dados da Aquisição das normas europeia e brasileira do Português para responder a uma questão complexa: quantas línguas existem no espaço da lusofonia? A principal conclusão é a de estamos (ainda) perante uma única entidade linguística a que chamamos "língua", apesar das diferenças que aqui são apontadas e caracterizadas.

A desocultação dos saberes profissionais: um espaço do ensino superior

The practical knowledge has characteristics of a process with peculiar idiosyncrasies that require disruption with preconceived ideas, dialogue, negotiation and joint action. The knowledge underlying remains unclear despite of being what informs decision making. It is academia’s responsibility to unveil and nominate knowledge and that is the reason why we conducted two studies with clinical nurses. The aim is to understand the social representation that nurses make of their knowledge about nursing and analyze their clinical practices. In one of the studies, based on the theoretical-methodological referential of social representations, we used the technique of free association of words with the stimulus “knowledge in nursing”. In another study, developed within a naturalistic context and under the “Grounded Theory” referential, we used non-participative observation and explanatory interviews. From the first study we identified the structure of social representations of knowledge in nursing, from which emerged the central core constituted by four elements (Investigation, Wisdom, help Relation, Competence) and a second periphery with one element (Reflection). With the second study we identified that decisions are made within a dynamic, systematic and continuous process of diagnostic evaluation and clinical intervention using the various types of knowledge (e.g. clinic, experiential, scientific, personal). We concluded that the various types of knowledge in nursing, represented by the expressions mentioned above, are systematically and creatively mobilized within the dynamic process of diagnostic evaluation and clinical intervention. It is therefore important to unveil and nominate the different knowledge implicit in the clinical practice and Academia should be responsible for that task.

A desocultação dos saberes profissionais: um espaço do ensino superior

UNVEILING PROFESSIONAL KNOWLEDGES: A SCOPE OF HIGHER EDUCATION The practical knowledge has characteristics of a process with peculiar idiosyncrasies that require disruption with preconceived ideas, dialogue, negotiation and joint action. The knowledge underlying remains unclear despite of being what informs decision making. It is academia’s responsibility to unveil and nominate knowledge and that is the reason why we conducted two studies with clinical nurses. The aim is to understand the social representation that nurses make of their knowledge about nursing and analyze their clinical practices. In one of the studies, based on the theoretical-methodological referential of social representations, we used the technique of free association of words with the stimulus “knowledge in nursing”. In another study, developed within a naturalistic context and under the “Grounded Theory” referential, we used non-participative observation and explanatory interviews. From the first study we identified the structure of social representations of knowledge in nursing, from which emerged the central core constituted by four elements (Investigation, Wisdom, help Relation, Competence) and a second periphery with one element (Reflection). With the second study we identified that decisions are made within a dynamic, systematic and continuous process of diagnostic evaluation and clinical intervention using the various types of knowledge (e.g. clinic, experiential, scientific, personal). We concluded that the various types of knowledge in nursing, represented by the expressions mentioned above, are systematically and creatively mobilized within the dynamic process of diagnostic evaluation and clinical intervention. It is therefore important to unveil and nominate the different knowledge implicit in the clinical practice and Academia should be responsible for that task.

The Riemann-Hilbert method applied to the theory of orthogonal polynomials

Doutoramento em Matemática

Roma na poesia de Marcial: imagens e ecos de um espaço físico e social

A presente tese assenta na forma como Roma, considerada nas suas dimensões física e social, se encontra representada na poesia de Marcial. Estruturalmente, o trabalho encontra-se dividido em três partes: I. Marcial: a vida e a obra; II. Enquadramento Urbano: Roma, espaço físico; III. Enquadramento Urbano: Roma, espaço social. Após um momento introdutório, inicia-se a primeira parte do trabalho, centrada em aspectos de cariz biobibliográfico considerados relevantes para a compreensão da obra do epigramatista. A segunda parte da tese é consagrada à análise da representatividade dos diferentes espaços físicos de Roma, na sua poesia. Na terceira parte, a forma como os diferentes tipos sociais, agentes e profissionais se encontram retratados foi o principal alvo de investigação. Deste modo, pretendeu-se contribuir para uma visão de conjunto de uma realidade que, até ao momento, contou sobretudo com estudos parcelares.

Os castrati e a prática vocal no espaço luso-brasileiro (1752-1822)

A presente tese tem como objeto de estudo os castrati em Portugal e no Brasil, visando principalmente às atividades musicais realizadas nos teatros da corte portuguesa entre 1752 e 1822. A partir de documentação histórica inédita, como livros de despesa do governo, os relatos fornecidos por viajantes estrangeiros da época, libretos, partituras originais e correspôndencias, a tese aborda o percurso histórico dos castrati italianos ampliando o entendimento sobre as práticas musicais que esses cantores protagonizaram tanto em Lisboa como no Rio de Janeiro.

Silves islâmica: a muralha do arrabalde oriental e a dinâmica de ocupação do espaço adjacente

Dissertação de mest., Teoria e Métodos da Arqueologia, Faculdade de Ciências Humanas e Sociais, Universidade do Algarve, 2008

Organização do espaço castrejo: proto-urbanismo

Dissertação de mest., Teoria e Método na Arqueologia, Faculdade de Ciências Humanas e Sociais, Universidade do Algarve, 2009

O espaço das igrejas dos conventos das Clarissas da província dos Algarves

Dissertação mest., História da Arte, Universidade do Algarve: 2007