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.

Extending Implicit Computational Complexity and Abstract Machines to Languages with Control

The Curry-Howard isomorphism is the idea that proofs in natural deduction can be put in correspondence with lambda terms in such a way that this correspondence is preserved by normalization. The concept can be extended from Intuitionistic Logic to other systems, such as Linear Logic. One of the nice conseguences of this isomorphism is that we can reason about functional programs with formal tools which are typical of proof systems: such analysis can also include quantitative qualities of programs, such as the number of steps it takes to terminate. Another is the possiblity to describe the execution of these programs in terms of abstract machines. In 1990 Griffin proved that the correspondence can be extended to Classical Logic and control operators. That is, Classical Logic adds the possiblity to manipulate continuations. In this thesis we see how the things we described above work in this larger context.

L'impiego del modello di Rash per la valutazione della soddisfazione del paziente nell'ambito delle strutture sanitarie di ricovero

Hospitals and health service providers are use to collect data about patient’s opinion to improve patient health status and communication with them and to upgrade the management and the organization of the health service provided. A lot of survey are carry out for this purpose and several questionnaire are built to measure patient satisfaction. In particular patient satisfaction is a way to describe and assess the level of hospital service from the patient’s point of view. It is a cognitive and an emotional response to the hospital experience. Methodologically patient satisfaction is defined as a multidimensional latent variable. To assess patient satisfaction Item Response Theory has greater advantages compared to Classical Test Theory. Rasch model is a one-parameter model which belongs to Item Response Theory. Rasch model yield objective measure of the construct that are independent of the set of people interviewed and of set of items used. Rasch estimates are continuous and can be useful to “calibrate” the scale of the latent trait. This research attempt to investigate the questionnaire currently adopted to measure patient satisfaction in an Italian hospital, completed by a large sample of 3390 patients. We verify the multidimensional nature of the variable, the properties of the instrument and the level of satisfaction in the hospital. Successively we used Rasch estimates to describe the most satisfied and the less satisfied patients.

New high nuclearity carbonyl clusters

The thesis reports the synthesis, and the chemical, structural and spectroscopic characterization of a series of new Rhodium and Au-Fe carbonyl clusters. Most new high-nuclearity rhodium carbonyl clusters have been obtained by redox condensation of preformed rhodium clusters reacting with a species in a different oxidation state generated in situ by mild oxidation. In particular the starting Rh carbonyl clusters is represented by the readily available [Rh7(CO)16]3- 9 compound. The oxidized species is generated in situ by reaction of the above with a stoichiometric defect of a mild oxidizing agents such as [M(H2O)x]n+ aquo complexes possessing different pKa’s and Mn+/M potentials. The experimental results are roughly in keeping with the conclusion that aquo complexes featuring E°(Mn+/M) < ca. -0.20 V do not lead to the formation of hetero-metallic Rh clusters, probably because of the inadequacy of their redox potentials relative to that of the [Rh7(CO)16]3-/2- redox couple. Only homometallic cluster s such as have been fairly selectively obtained. As a fallout of the above investigations, also a convenient and reproducible synthesis of the ill-characterized species [HnRh22(CO)35]8-n has been discovered. The ready availability of the above compound triggered both its complete spectroscopic and chemical characterization. because it is the only example of Rhodium carbonyl clusters with two interstitial metal atoms. The presence of several hydride atoms, firstly suggested by chemical evidences, has been implemented by ESI-MS and 1H-NMR, as well as new structural characterization of its tetra- and penta-anion. All these species display redox behaviour and behave as molecular capacitors. Their chemical reactivity with CO gives rise to a new series of Rh22 clusters containing a different number of carbonyl groups, which have been likewise fully characterized. Formation of hetero-metallic Rh clusters was only observed when using SnCl2H2O as oxidizing agent because. Quite all the Rh-Sn carbonyl clusters obtained have icosahedral geometry. The only previously reported example of an icosahedral Rh cluster with an interstitial atom is the [Rh12Sb(CO)27]3- trianion. They have very similar metal framework, as well as the same number of CO ligands and, consequently, cluster valence electrons (CVEs). .A first interesting aspect of the chemistry of the Rh-Sn system is that it also provides icosahedral clusters making exception to the cluster-borane analogy by showing electron counts from 166 to 171. As a result, the most electron-short species, namely [Rh12Sn(CO)25]4- displays redox propensity, even if disfavoured by the relatively high free negative charge of the starting anion and, moreover, behaves as a chloride scavenger. The presence of these bulky interstitial atoms results in the metal framework adopting structures different from a close-packed metal lattice and, above all, imparts a notable stability to the resulting cluster. An organometallic approach to a new kind of molecular ligand-stabilized gold nanoparticles, in which Fe(CO)x (x = 3,4) moieties protect and stabilize the gold kernel has also been undertaken. As a result, the new clusters [Au21{Fe(CO)4}10]5-, [Au22{Fe(CO)4}12]6-, Au28{Fe(CO)3}4{Fe(CO)4}10]8- and [Au34{Fe(CO)3}6{Fe(CO)4}8]6- have been isolated and characterized. As suggested by concepts of isolobal analogies, the Fe(CO)4 molecular fragment may display the same ligand capability of thiolates and go beyond. Indeed, the above clusters bring structural resemblance to the structurally characterized gold thiolates by showing Fe-Au-Fe, rather than S-Au-S, staple motives. Staple motives, the oxidation state of surface gold atoms and the energy of Au atomic orbitals are likely to concur in delaying the insulator-to-metal transition as the nuclearity of gold thiolates increases, relative to the more compact transition-metal carbonyl clusters. Finally, a few previously reported Au-Fe carbonyl clusters have been used as precursors in the preparation of supported gold catalysts. The catalysts obtained are active for toluene oxidation and the catalytic activity depends on the Fe/Au cluster loading over TiO2.

Approcci molecolari e bioinformatici volti alla caratterizzazione di Vgt1, QTL coinvolto nella regolazione dell'epoca di fioritura in Zea Mays

The genetic control of flowering time has been addressed by many quantitative trait locus (QTL) studies. A survey of the results from 29 independent studies reporting information on 441 QTLs led to the production of a QTL consensus map, which enabled the identification of 59 chromosome regions distributed on all chromosomes and shown to be frequently involved in the genetic control of flowering time and related traits. One of the major QTLs for flowering time, the Vegetative to generative transition 1 (Vgt1) locus , corresponds to an upstream (70 kb) non-coding regulatory element of ZmRap2.7, a repressor of flowering. A transposon (MITE) insertion was identified as a major allelic difference within Vgt1. One of the hypotheses is that Vgt1 might function by modifying ZmRap2.7 chromatin through an epigenetic mechanism. Therefore, the methylation state at Vgt1 was investigated using an approach that combines digestion with McrBc, an endonuclease that acts upon methylated DNA, and quantitative PCR. The analyses were performed on genomic DNA from leaves of six different maize lines at four stages of development. The results showed a trend of reduction of methylation from the first to the last stage with the exception of a short genomic region flanking the MITE insertion, which showed a constant and very dense methylation throughout leaf development and for both alleles. Preliminary results from bisulfite sequencing of a small portion of Vgt1 revealed differential methylation of a single cytosine residue between the two alleles. ZmRap2.7 expression was assayed in the four developmental stages afore mentioned for the six genotypes, in order to establish a link between methylation at Vgt1 and ZmRap2.7 transcription. To assess the role of Vgt1 as a transcriptional enhancer, two reporter vectors for stable transformation of plants have been developed.

Role of Notch signalling in human hepatocellular carcinoma

The Notch signalling is a cellular pathway that results conserved from Drosophila to Homo sapiens controlling a wide range of cellular processes in development and in differentiated organs. It induces cell proliferation or differentiation, increased survival or apoptosis, and it is involved in stemness maintainance. These functions are conserved, but exerted with a high tissue and cellular context specificity. Signalling activation determs nuclear translocation of the receptor’s cytoplasmic domain and activation of target genes transcription. As many developmental pathway, Notch deregulation is involved in cancer, leading to oncogenic or tumour suppressive role depending on the functions exerted in normal tissue. Notch1 and Notch3 resulted aberrantly expressed in human hepatocellular carcinoma (HCC) that is the more frequent tumour of the liver and the sixth most common tumour worldwide. This thesis has the aim to investigate the role of the signalling in HCC, with particular attention to dissect common and uncommon regulatory pathways between Notch1 and Notch3 and to define the role of the signalling in HCC. Nocth1 and Notch3 were analysed on their regulation on Hes1 target and involvement in cell cycle control. They showed to regulate CDKN1C/p57kip2 expression through Hes1 target. CDKN1C/p57kip2 induces not only cell cycle arrest, but also senescence in HCC cell lines. Moreover, the involvement of Notch1 in cancer progression and epithelial to mesenchymal transition was investigated. Notch1 showed to induce invasion of HCC, regulating EMT and E- Cadherin expression. Moreover, Notch3 showed specific regulation on p53 at post translational levels. In vitro and ex vivo analysis on HCC samples suggests a complex role of both receptors in regulate HCC, with an oncogenic role but also showing tumour suppressive effects, suggesting a complex and deep involvement of this signalling in HCC.

Valutazione della relazione tra composizione corporea e stili di vita in soggetti di età scolare

Il lavoro svolto in questa tesi si propone di valutare la variabilità della composizione corporea nell’infanzia e nell’adolescenza, con particolare attenzione alla transizione dalla prima alla seconda, in relazione allo stato nutrizionale ed agli stili di vita. Lo studio è stato condotto eseguendo misure antropometriche presso scuole primarie e secondarie di Bologna. Sono stati analizzati inoltre dati acquisiti a partire dal 2004. Il campione analizzato comprende 3546 soggetti di età compresa tra 6 anni e 14 anni. In particolare sono state analizzate le principali misurazioni utili per il calcolo della composizione corporea, evidenziando i parametri antropometrici principali quali BMI, circonferenza vita, WHR, %F e FFM. Questi caratteri sono stati quindi messi in relazione con le informazioni inerenti l’attività sportiva extrascolastica e gli stili di vita dei soggetti esaminati. L’analisi trasversale delle principali caratteristiche antropometriche ha fornito un interessante panorama della situazione italiana e del nord Italia; lo studio longitudinale delle variabili antropometriche permette di ottenere un quadro aggiornato dei principali incrementi delle misure corporee. La valutazione della variabilità della composizione corporea in relazione all’attività sportiva e allo stile di vita durante il processo di accrescimento ha indicato come abitudini sane e propensione all’attività motoria sono sicuramente in grado di apportare miglioramenti nella modificazione della composizione corporea nel processo evolutivo specialmente se somministrate con modalità adeguate all’età e alle esigenze individuali. Questi aspetti sono certamente rilevanti e complessi, sarebbe infatti interessante in prospettiva futura riuscire ad indagare ancora più dettagliatamente sull’interazione tra i fattori che determinano e modificano la composizione corporea in un periodo della vita così particolare come la transizione dall’infanzia all’adolescenza.

L'immagine di Roma nella cultura russa tra fine XVIII secolo e inizio XIX secolo

Nella tesi si osserva come nella cultura russa cambiava l’immagine di Roma. Se ancora alla fine del settecento l’antichità romana poteva risultare solamente uno strumento retorico-filologico da utilizzare per fare il proprio discorso più convincente, la generazione dei decabristi la stessa antica romanità la accostava alla cultura e storia russe tramite gli elevati ideali civici. La romanità ora risultava uno strumento di analisi della esperienza storica e politica della Russia anche nel contesto europeo. Da qui nasceva una serie di modelli russi legati all’antica Roma: il Catone di Radiscev, il Bruto dei decabristi, ecc. Vi attingeva generosamente anche una corrente di lirica russo-antica con i suoi ricchi riferimenti agli autori classici, Ovidio, Tacito, Orazio. Nasceva così una specie di Roma antica russa che viveva secondo le sue regole etiche ed estetiche. Con il fallimento dell’esperienza decabrista cambia anche l’approccio alle antichità: ci si distacca dalla visione storico-morale dell’antico, Roma non è più una categoria da emulare, ma una storia a sé stante e chiusa in sé stessa come ogni periodo storico. Essa smette di essere un criterio universale di giudizio etico e morale. Allo stesso tempo, una parte integrante della cultura russa all’epoca era il viaggio a Roma. I russi cresciuti con interesse e amore verso la Roma antica, impazienti ed emozionati, desideravano ora di vedere quella patria dei classici. Era come se fosse un appuntamento fra gli amici di vecchia data. Si affrettava a verificare di persona le muse di storia e di poesia. E con tutto questo si imparavano ad amare tutti i defetti della Roma reale, spesso inospitale, la Roma del dolore e della fatica. La voce importante nel racconto romano dei russi era anche la Roma del cristianesimo, dove ritrovare e ricoprire la propria “anima cristiana”.