Lévy area for Gaussian processes: A double Wiener--Itô integral approach

"Vegeu el resum a l'inici del document del fitxer adjunt."

Dressed coordinates: the path-integral approach

The recently introduced dressed coordinates are studied in the path-integral approach. These coordinates are defined in the context of a harmonic oscillator linearly coupled to massless scalar field and it is shown that in this model the dressed coordinates appear as a coordinate transformation preserving the path-integral functional measure. The analysis also generalizes the sum rules established in a previous work. (c) 2006 Elsevier B.V. All rights reserved.

A path integral approach to the full Dicke model with dipole-dipole interaction

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Path integral approach to the full Dicke model

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A RIEMANN INTEGRAL APPROACH TO FEYNMANS PATH-INTEGRAL

It is a well known result that the Feynman's path integral (FPI) approach to quantum mechanics is equivalent to Schrodinger's equation when we use as integration measure the Wiener-Lebesgue measure. This results in little practical applicability due to the great algebraic complexibity involved, and the fact is that almost all applications of (FPI) - ''practical calculations'' - are done using a Riemann measure. In this paper we present an expansion to all orders in time of FPI in a quest for a representation of the latter solely in terms of differentiable trajetories and Riemann measure. We show that this expansion agrees with a similar expansion obtained from Schrodinger's equation only up to first order in a Riemann integral context, although by chance both expansions referred to above agree for the free. particle and harmonic oscillator cases. Our results permit, from the mathematical point of view, to estimate the many errors done in ''practical'' calculations of the FPI appearing in the literature and, from the physical point of view, our results supports the stochastic approach to the problem.

Casimir effect for the scalar field under Robin boundary conditions: a functional integral approach

In this work we show how to define the action of a scalar field such that the Robin boundary condition is implemented dynamically, i.e. as a consequence of the stationary action principle. We discuss the quantization of that system via functional integration. Using this formalism, we derive an expression for the Casimir energy of a massless scalar field under Robin boundary conditions on a pair of parallel plates, characterized by constants c(1) and c(2). Some special cases are discussed; in particular, we show that for some values of cl and c(2) the Casimir energy as a function of the distance between the plates presents a minimum. We also discuss the renormalization at one-loop order of the two-point Green function in the philambda(4) theory subject to the Robin boundary condition on a plate.

Guidelines for Accessibility to Microblogging: an Integral Approach

Microblogging is one of the most popular user-generated media, hence its accessibility has a large impact for users. However, the accessibility of this medium is poor in practice, due to the combination of bad practices by different agents ranging from the providers that host microblogging services to prosumers that post contents to them. Here we present an accessibility-oriented model of microblogging services, analyze the impact of its components, and propose guidelines for each of them to meet accessibility requirements. In particular, we base on an study we have performed on Twitter, one of the most-relevant microblogging platform, to identify good and bad practices in microblogging content generation regarding accessibility in microblogging content generation.

Seminar 1 impurity in the tomonaga-luttinger model:a functional integral approach

This chapter explains a functional integral approach about impurity in the Tomonaga–Luttinger model. The Tomonaga–Luttinger model of one-dimensional (1D) strongly correlates electrons gives a striking example of non-Fermi-liquid behavior. For simplicity, the chapter considers only a single-mode Tomonaga–Luttinger model, with one species of right- and left-moving electrons, thus, omitting spin indices and considering eventually the simplest linearized model of a single-valley parabolic electron band. The standard operator bosonization is one of the most elegant methods developed in theoretical physics. The main advantage of the bosonization, either in standard or functional form, is that including the quadric electron–electron interaction does not substantially change the free action. The chapter demonstrates the way to develop the formalism of bosonization based on the functional integral representation of observable quantities within the Keldysh formalism.

Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)

A new approach is proposed for the quantum mechanics of guiding center motion in strong magnetic field. This is achieved by use of the coherent state path integral for the coupled systems of the cyclotron and the guiding center motion. We are specifically concerned with the effective action for the guiding center degree, which can be used to get the Bohr- Sommerfeld quantization scheme. The quantization rule is similar to the one for the vortex motion as a dynamics of point particles.

The Positive Effect of Using the Integral Approach for Improving Quality of Learning and Students' motivation

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2015

On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach

We investigate the problem of determining the stationary temperature field on an inclusion from given Cauchy data on an accessible exterior boundary. On this accessible part the temperature (or the heat flux) is known, and, additionally, on a portion of this exterior boundary the heat flux (or temperature) is also given. We propose a direct boundary integral approach in combination with Tikhonov regularization for the stable determination of the temperature and flux on the inclusion. To determine these quantities on the inclusion, boundary integral equations are derived using Green’s functions, and properties of these equations are shown in an L2-setting. An effective way of discretizing these boundary integral equations based on the Nystr¨om method and trigonometric approximations, is outlined. Numerical examples are included, both with exact and noisy data, showing that accurate approximations can be obtained with small computational effort, and the accuracy is increasing with the length of the portion of the boundary where the additionally data is given.

El modelo integral y su aplicación en terapia

La presente monografía es una revisión de la literatura frente a los postulados fundamentales del modelo integral propuesto por Ken Wilber y la aplicación de dicho modelo a la psicoterapia. Se presentan cada una de los elementos que sostienen esta meta-perspectiva tales como cuadrantes, niveles, líneas, y estados, y la forma en que cada uno de ellos se relaciona con la psicoterapia integral. Se abordan a continuación temas como los diferentes niveles de terapia, las etapas del desarrollo de la identidad, las patologías típicas en cada una de ellas y las posibles intervenciones para manejarlas, el rol que posee el terapeuta y algunos otros campos de aplicación del modelo integral a terapias grupales y al asesoramiento.

La salud mental desde la perspectiva integral de Ken Wilber

La presente monografía es una revisión de la literatura que permite hacer una análisis del concepto de salud mental desde los elementos (cuadrantes, niveles, líneas, estados y tipos) expuestos por Ken Wilber en su modelo integral, respondiendo las siguientes preguntas de investigación: 1. ¿Qué rasgos distintivos caracterizan la aproximación desde el modelo integral a la salud mental? 2. ¿Cuáles son los elementos constitutivos, la definición y los modos de atención que se proponen desde el modelo integral respecto a la salud mental? Se abordan temas como el análisis de la salud y la enfermedad desde los cuatro cuadrantes, una crítica al modelo clásico de la salud mental, las prácticas integrales, los niveles de desarrollo y sus respectivas patologías, mecanismos de defensa y tratamientos, los estados de consciencia y la relación que tienen con la salud mental y las diferentes líneas y tipologías que rigen el desarrollo del ser humano.

Path integral quantization of generalized quantum electrodynamics

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Token codeswitching and language alternation in narrative discourse: a functional-pragmatic approach

This study is concerned with two phenomena of language alternation in biographic narrations in Yiddish and Low German, based on spoken language data recorded between 1988 and 1995. In both phenomena language alternation serves as an additional communicative tool which can be applied by bilingual speakers to enlarge their set of interactional devices in order to ensure a smoother or more pointed processing of communicative aims. The first phenomenon is a narrative strategy I call Token Cod-eswitching: In a bilingual narrative culminating in a line of reported speech, a single element of L2 indicates the original language of the reconstructed dialogue – a token for a quote. The second phenomenon has to do with directing procedures, carried out by the speaker and aimed at guiding the hearer's attention, which are frequently carried out in L2, supporting the hearer's attention at crucial points in the interaction. Both phenomena are analyzed following a model of narrative discourse as proposed in the framework of Functional Pragmatics. The model allows the adoption of an integral approach to previous findings in code-switching research.