Classical limit of the Nelson model

Since the development of quantum mechanics it has been natural to analyze the connection between classical and quantum mechanical descriptions of physical systems. In particular one should expect that in some sense when quantum mechanical effects becomes negligible the system will behave like it is dictated by classical mechanics. One famous relation between classical and quantum theory is due to Ehrenfest. This result was later developed and put on firm mathematical foundations by Hepp. He proved that matrix elements of bounded functions of quantum observables between suitable coherents states (that depend on Planck's constant h) converge to classical values evolving according to the expected classical equations when h goes to zero. His results were later generalized by Ginibre and Velo to bosonic systems with infinite degrees of freedom and scattering theory. In this thesis we study the classical limit of Nelson model, that describes non relativistic particles, whose evolution is dictated by Schrödinger equation, interacting with a scalar relativistic field, whose evolution is dictated by Klein-Gordon equation, by means of a Yukawa-type potential. The classical limit is a mean field and weak coupling limit. We proved that the transition amplitude of a creation or annihilation operator, between suitable coherent states, converges in the classical limit to the solution of the system of differential equations that describes the classical evolution of the theory. The quantum evolution operator converges to the evolution operator of fluctuations around the classical solution. Transition amplitudes of normal ordered products of creation and annihilation operators between coherent states converge to suitable products of the classical solutions. Transition amplitudes of normal ordered products of creation and annihilation operators between fixed particle states converge to an average of products of classical solutions, corresponding to different initial conditions.

A regional environmental accounting matrix and integrated environmental economic analyses to support regional planning

This research deals with the deepening and use of an environmental accounting matrix in Emilia-Romagna, RAMEA air emissions (regional NAMEA), carried out by the Regional Environment Agency (Arpa) in an European project. After a depiction of the international context regarding the widespread needing to integrate economic indicators and go beyond conventional reporting system, this study explains the structure, update and development of the tool. The overall aim is to outline the matrix for environmental assessments of regional plans, draw up sustainable reports and monitor effects of regional policies in a sustainable development perspective. The work focused on an application of a Shift-Share model, on the integration with eco-taxes, industrial waste production, energy consumptions, on applications of the extended RAMEA as a policy tool, following Eurostat guidelines. The common thread is the eco-efficiency (economic-environmental efficiency) index. The first part, in English, treats the methodology used to build a more complete tool; in the second part RAMEA has been applied on two regional case studies, in Italian, to support decision makers regarding Strategic Environmental Assessments’ processes (2001/42/EC). The aim is to support an evidence-based policy making by integrating sustainable development concerns at all levels. The first case study regards integrated environmental-economic analyses in support to the SEA of the Regional Waste management plan. For the industrial waste production an extended and updated RAMEA has been developed as a useful policy tool, to help in analysing and monitoring the state of environmental-economic performances. The second case study deals with the environmental report for the SEA of the Regional Program concerning productive activities. RAMEA has been applied aiming to an integrated environmental-economic analysis of the context, to investigate the performances of the regional production chains and to depict and monitor the area where the program should be carried out, from an integrated environmental-economic perspective.

Toward a 3D in vitro model based on decellularized thymus to maintain adult thymic ephitelial cells functionality

During my PhD,I have been develop an innovative technique to reproduce in vitro the 3D thymic microenvironment, to be used for growth and differentiation of thymocytes, and possible transplantation replacement in conditions of depressed thymic immune regulation. The work has been developed in the laboratory of Tissue Engineering at the University Hospital in Basel, Switzerland, under the tutorship of Prof.Ivan Martin. Since a number of studies have suggested that the 3D structure of the thymic microenvironment might play a key role in regulating the survival and functional competence of thymocytes, I’ve focused my effort on the isolation and purification of the extracellular matrix of the mouse thymus. Specifically, based on the assumption that TEC can favour the differentiation of pre-T lymphocytes, I’ve developed a specific decellularization protocol to obtain the intact, DNA-free extracellular matrix of the adult mouse thymus. Two different protocols satisfied the main characteristics of a decellularized matrix, according to qualitative and quantitative assays. In particular, the quantity of DNA was less than 10% in absolute value, no positive staining for cells was found and the 3D structure and composition of the ECM were maintained. In addition, I was able to prove that the decellularized matrixes were not cytotoxic for the cells themselves, and were able to increase expression of MHC II antigens compared to control cells grown in standard conditions. I was able to prove that TECs grow and proliferate up to ten days on top the decellularized matrix. After a complete characterization of the culture system, these innovative natural scaffolds could be used to improve the standard culture conditions of TEC, to study in vitro the action of different factors on their differentiation genes, and to test the ability of TECs to induce in vitro maturation of seeded T lymphocytes.