30,806 research outputs found
Finite size effects and the supersymmetric sine-Gordon models
No full textWe propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordon models. The equations encompass the N = 1 supersymmetric sine-Gordon model as well as the phi(id,id,adj) perturbation of the SU(2)(L) x SU(2)(K)/SU(2)(L+K) models at rational level K. A second set of equations is proposed for the groundstate energy of the N = 2 supersymmetric sine-Gordon model
Albert I Gordon papers, und,1915-1971 1930-1964
No full textAlbert I. Gordon was a Rabbi, author, and sociologist. Rabbi of Temple Israel of Washington Heights, New York (1929-1930), Adath Jeshurun in Minneapolis, Minnesota (1930-1946) and Temple Emanuel in Newton, Massachusetts (1949-1968), Rabbi Gordon also served as Executive Director of the United Synagogue of America (1946-1949) and wrote numerous articles and pamphlets, as well as the books "Jews in Transition," "Jews in Suburbia," "Intermarriage," and "The Nature of Conversion." Gordon also hosted a radio program in Minneapolis on WCCO for many years. This collection contains typescripts of Gordon’s radio addresses; research, notes and interviews for his books, various sermons and speeches; correspondence, photographs, and materials from his synagoguesGift of Mrs. Albert I. Gordon,Finding Aid available in Reading Room and on Internet.This collection is located at the American Jewish Historical Society located in Boston. For information on accessing collections at AJHS Boston please visit their website at: http:MARC record sent to AJHS Boston April 5 2016
Albert I. Gordon papers, undated, 1915-1971 [bulk 1930-1964]
No full textAlbert I. Gordon was a Rabbi, author, and sociologist. Rabbi of Temple Israel of Washington Heights, New York (1929-1930), Adath Jeshurun in Minneapolis, Minnesota (1930-1946) and Temple Emanuel in Newton, Massachusetts (1949-1968), Rabbi Gordon also served as Executive Director of the United Synagogue of America (1946-1949) and wrote numerous articles and pamphlets, as well as the books "Jews in Transition," "Jews in Suburbia," "Intermarriage," and "The Nature of Conversion." Gordon also hosted a radio program in Minneapolis on WCCO for many years. This collection contains typescripts of Gordon’s radio addresses; research, notes and interviews for his books, various sermons and speeches; correspondence, photographs, and materials from his synagoguesGift of Mrs. Albert I. Gordon,Finding Aid available in Reading Room and on Internet
Philosophia utilis et iucunda : tribus tomis comprehensa ...
No full textin usum studiosae iuventutis concinnata a P. Andrea Gordon ...Tomus I.: doppelblattgrosses Titelblatt in Rotschwarzdruck; S. 423-424 wiederholt sich in der Nummerierung
On the integrability of the sine-Gordon system
No full textThis thesis investigates the integrability of the sine-Gordon system of nonlinear partial differential equations when the dependent variables are subject to some very particular boundary conditions. In chapter 1 the sine-Gordon system is introduced and, with N ϵ Z, P, Q ϵ R, the sets of initial-boundary value problems A(_N) and B(_P,Q) are defined. In the set A(_N) at the spatial variable x is unbounded and the boundary conditions are fixed by initially choosing the topological charge N. This set of problems is the one usually associated with the sine-Gordon system. In the set B(_P,Q) the spatial coordinate is constrained to the semi-line (-oo,0) and there exists two boundary parameters P,Q ϵ R to be chosen a priori. It is the study of this second set of initial-boundary value problems for arbitrary P, Q which forms all the original work of this dissertation. The study presented here is primarily concerned with the development of three separate inverse scattering methods for solving these sets of initial-boundary value problems. The first of these is developed in chapter 3 and is applicable to a subset of the problems in A(_N). The method is the one usually associated with the sine-Gordon system and studies the asymptotics of the initial data as x → ±oo. It is included in this thesis for completeness and as background for the original material which follows. Next, in chapters 4 and 5, the inverse scattering methods appropriate to initial-boundary value problems in subsets of B(_P,O) and B(_P,Q#O) are constructed. In these cases it is important to realise that it is only possible to study the asymptotics of the initial data as x → -oo. Once these three methods have been formulated they are used to find soliton solutions and infinite sets of integrals of motion for these boundary value problems. When a boundary is present at x = 0 the interaction of the solitons with this boundary is studied. These topics are addressed in chapter 6. Finally in chapter 7 the question of the integrability of both sets of problems is addressed. By interpreting the various inverse scattering methods in terms of canonical coordinate transformations of phase space it is seen that the existence of such methods can be viewed as a constructive proof of the integrability of these boundary value problems
The complex sine-Gordon model on a half line
No full textIn this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory. It accepts soliton and breather solutions. By introducing suitably selected boundary conditions we may consider the model on a half line. Through such conditions the model can be shown to remain integrable and various aspects of the boundary theory can be examined. The first chapter serves as a brief introduction to some basic concepts of integrability and soliton solutions. As an example of an integrable system with soliton solutions, the sine-Gordon model is presented both in the bulk and on a half line. These results will serve as a useful guide for the model at hand. The introduction finishes with a brief overview of the two methods that will be used on the fourth chapter in order to obtain the quantum spectrum of the boundary complex sine-Gordon model. In the second chapter the model is properly introduced along with a brief literature review. Different realisations of the model and their connexions are discussed. The vacuum of the theory is investigated. Soliton solutions are given and a discussion on the existence of breathers follows. Finally the collapse of breather solutions to single solitons is demonstrated and the chapter concludes with a different approach to the breather problem. In the third chapter, we construct the lowest conserved currents and through them we find suitable boundary conditions that allow for their conservation in the presence of a boundary. The boundary term is added to the Lagrangian and the vacuum is reexamined in the half line case. The reflection process of solitons from the boundary is studied and the time-delay is calculated. Finally we address the existence of boundary-bound states. In the fourth chapter we study the quantum complex sine-Gordon model. We begin with a brief overview of the theory in the bulk where the semi-classical spectrum and an exact S'-matrix are presented. Following that we use the stationary phase method to derive the semi-classical spectrum of boundary bound states. The bootstrap method is used as an alternative approach to obtain the same spectrum. The results are discussed and compared. The final chapter consists of a general discussion on open questions and problems of the model, and some proposals for further research
Complex sine-Gordon theory: solitons, defects and boundaries
No full textThis thesis presents research into the properties and features of the complex sine- Gordon theory. The CSG theory is a dimensional integrable held theory that admits soliton solutions which carry a Noether charge due to the U(I) invariance of the theory. Integrable CSG defects and boundaries are constructed and interactions between solitons, defects and boundaries are analysed at the classical and quantum level. The introduction of defects into the theory is facilitated by a new Backlund transformation involving two parameters. Defect conditions, constructed so they maintain the integrability of the theory and found to be exactly the BT, are used to sew two CSG theories together. How solitons interact with the defect is investigated, in particular whether as in the SG theory solitons can be absorbed and emitted by the defect. The classical time-delay and phase-shift are calculated for soliton-defect and particle-defect scattering. Using the CSG defect to dress the Dirichlet boundary a new CSG boundary theory is produced. Its integrability is checked by the explicit construction of conserved charges. The various interactions between solitons and the boundary are analysed, compared and contrasted with the defect theory. Finally aspects of the quantum CSG boundary theory are examined, culminating in a conjecture for the quantum reflection matrix for a Q = -1-1 soliton reflecting from an unexcited boundary. Reflection and boundary bootstrap procedures are used to generate the general reflection matrix for any charged soliton reflecting from any excited boundar
Quantum corrections to the classical reflection factor of the sinh-Gordon model
No full textThis thesis studies the quantum reflection factor of the sinh-Gordon model under boundary conditions consistent with integrability. First, we review the affine Toda field theory in Chapter One. In particular, the classical and quantum integrability of the theory are reviewed on the whole line and on the half-line as well, that is, in the presence of a boundary. We next consider the sinh-Gordon model which is restricted to a half-line by boundary conditions maintaining integrability in Chapter Two. A perturbative calculation of the reflection factor is given to one loop order in the bulk coupling and to first order in the difference of the two parameters introduced at the boundary. The result provides a further verification of Ghoshal's formula. The calculation is consistent with a conjecture for the general dependence of the reflection factor on the boundary parameters and the bulk coupling. In Chapter Three, quantum corrections to the classical reflection factor of the sinh-Gordon model are studied up to second order in the difference of boundary data and to one loop order in the bulk coupling. Chapter Four deals with the quantum reflection factor for the sinh-Gordon model with general boundary conditions. The model is studied under boundary conditions which are compatible with integrability and in the framework of the conventional perturbation theory generalised to the affine Toda field theory. It is found that the general form of a subset of the related quantum corrections are hypergeometric functions. Finally, we sum up this thesis in Chapter Five along with some conclusions and suggestions for further future studies
Affine toda field theories on a half-line
No full textThis thesis is primarily concerned with the reflection factors of affine Toda field theories on the half-line x ≤ 0. First, we consider the classical background configurations of low rank a,(^(1)) affine Toda theories with a boundary, constructed by the analytic-continuation of soliton solutions of the corresponding imaginary-coupling theories. We show that only a small subset of such solutions provide acceptable vacuum configurations. These are classified according to the integrable boundary conditions they obey and their classical reflection factors are considered. We next consider the quantum theories, where we aim to provide evidence for or against exact reflection factors proposed in the literature. We do this by explicit calculation of the low-order coupling dependence of the reflection factors via perturbation theory. Two particular examples are considered in detail. The first is the O(β(^2)) calculation for a(_2)(^1) affine Toda field theory with the boundary condition. This will be a good example to study since it is the subject of many conjectured exact reflection factors and also demonstrates the renormalisation of the boundary potential required to retain quantum integrability. The second example will be the O(β(^4)) calculation for sinh-Gordon theory. In light of the added complexity of the higher-order calculation we consider only the Neumann boundary condition. Finally we look at the renormalisation of sinh-Gordon theory and its duality properties
Esperienza di introduzione del Modello teorico Gordon e delle tassonomie NANDA-I, NOC e NIC
No full text1. Introduzione. La pianificazione assistenziale è un aspetto forndamentale del core curriculum formativo del Corso di Laurea in Infermieristica di Modena. Nel 2012 è stato elaborato un progetto che ha promosso la formazione di infermieri tutor esperti rispetto alla pianificazione assistenziale secondo gli 11 Modelli funzionali della salute di M. Gordon e l'utilizzo delle tassonomie NNN. A partire dall'a.a. 2013-2014 è stato introdotto nel piano di studi la pianificazione assistenziale con il Modello di Gordon e le tassonomie NNN. 2. Obiettivi del progetto. L'obiettivo del progetto è quello di sviluppare le competenze di pianificazione assistenziale degli studenti con l'utilizzo del Modello teorico di Gordon e del linguaggio infermieristico standardizzato NNN in risposta alla domanda di salute della persona. 3. Materiali e metodi. Il progetto ha coinvolto tutti e 22 i Tutor didattici del Corso di Luarea, attraverso una FSC e 450 studenti iscritti nei tre anni di Corso di Laurea. La formazione degli studenti è stata strutturata in una parte teorica e una pratica; inoltre la pianificazione ha trovato applicazione nella pratica clinica durante i tirocini. 4. Risultati. A oggi i Tutor didattici sono formati e il progetto è in fase di completa implementazione. La valutazione dello stesso è avvenuta in itinere attraverso la valutazione delle pianificazioni che i Tutor prima e gli studenti poi, nell'anno accademico in corso, hanno effettuato. Sarà somministrato a sperimentazione conclusa, settembre 2014, un questionario di gradimento del metodo adottato. 5. Conclusioni. I Linguaggi standardizzati permettono la condivisione consapevole e universale del processo assistenziale tra i professionisti della salute e le persone assistite, contribuiscono a rendere visibile e universale del processo assistenziale tra i professionisti della salute e le persone assistite, contribuiscono a rendere visibile il contributo che l'infermiere è in grado di apportare, all'interno del proprio ambito professionale di autonomia e responsabilità, in termini di risultati di salute raggiunti o mantenuti dall'assistito, dalla famiglia o dalla comunità
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