scholarly journals The topology and geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators

2015 ◽  
Vol 12 (06) ◽  
pp. 1561007 ◽  
Author(s):  
M. Asorey ◽  
A. Ibort ◽  
G. Marmo
Keyword(s):  
Differential Operators ◽  
Elliptic Boundary ◽  
Point Of View ◽  
The Self ◽  
Dissipative Systems ◽  
Reduction Theorem ◽  
Laplace Operators ◽  
Geometrical Structures ◽  
Composition Law ◽  
Relevant Role

The theory of self-adjoint extensions of first- and second-order elliptic differential operators on manifolds with boundary is studied via its most representative instances: Dirac and Laplace operators. The theory is developed by exploiting the geometrical structures attached to them and, by using an adapted Cayley transform on each case, the space [Formula: see text] of such extensions is shown to have a canonical group composition law structure. The obtained results are compared with von Neumann's theorem characterizing the self-adjoint extensions of densely defined symmetric operators on Hilbert spaces. The 1D case is thoroughly investigated. The geometry of the submanifold of elliptic self-adjoint extensions [Formula: see text] is studied and it is shown that it is a Lagrangian submanifold of the universal Grassmannian Gr. The topology of [Formula: see text] is also explored and it is shown that there is a canonical cycle whose dual is the Maslov class of the manifold. Such cycle, called the Cayley surface, plays a relevant role in the study of the phenomena of topology change. Self-adjoint extensions of Laplace operators are discussed in the path integral formalism, identifying a class of them for which both treatments leads to the same results. A theory of dissipative quantum systems is proposed based on this theory and a unitarization theorem for such class of dissipative systems is proved. The theory of self-adjoint extensions with symmetry of Dirac operators is also discussed and a reduction theorem for the self-adjoint elliptic Grassmannian is obtained. Finally, an interpretation of spontaneous symmetry breaking is offered from the point of view of the theory of self-adjoint extensions.

SUSY coherent states and enhanced canonical quantizations for Pauli model

2021 ◽  
pp. 2150105
Author(s):  
Jean Vignon Hounguevou ◽  
Daniel Sabi Takou ◽  
Gabriel Y. H. Avossevou
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Coherent States ◽  
Differential Operators ◽  
Canonical Quantization ◽  
Point Of View ◽  
Supersymmetric Quantum Mechanics ◽  
Geometric Properties

In this paper, we study coherent states for a quantum Pauli model through supersymmetric quantum mechanics (SUSYQM) method. From the point of view of canonical quantization, the construction of these coherent states is based on the very important differential operators in SUSYQM call factorization operators. The connection between classical and quantum theory is given by using the geometric properties of these states.

Vídeo experimental e autorretrato

2021 ◽  
Author(s):  
Filomena Antunes Sobral ◽  
Daniela Morgado Oliveira
Keyword(s):  
Crucial Role ◽  
Point Of View ◽  
The Self ◽  
Self Awareness ◽  
Cindy Sherman ◽  
Artistic Creation ◽  
Multiple Variable ◽  
The Relationship ◽  
Theoretical Foundations ◽  
Creative Production

In the development of the relationship between the artist and his artistic creation, the deconstruction of concepts and ideas within the scope of artistic praxis leads to the reflection of the crucial role that the artist has in the conception and meaning of the work. His creative production, in turn, appropriates not only the expressive force of the author to assert itself as an artistic creation, but can also assume to be the reflection of the self, its identity and materializes in the form of self-portrait. The self-portrait expands the artist’s interiority, externalizing concerns and questions, and conveys a subjective point of view about himself and his view of art. But how does self-portrait contribute to self-awareness? And how does the artist reveal himself and communicate beyond his appearance?Based on these questions, the objective of this paper is to provide a reflection on self-portrait presenting the results of an artistic installation project that involved photographic language in the form of self-portrait and experimental video to represent feelings of disquiet. Influences such as Cindy Sherman, Lais Pontes or Francesca Woodman, whose creations approach the self-portrait in a not only original, but critical style, stand out.It is a project of academic and artistic nature supported by theoretical foundations. The results allow us to conclude that the artistic installation, which began by presenting a self-portraying self-seeking identity, frees itself from its creator to enhance multiple variable interpretations depending on the observer’s attention.

scholarly journals Design of self-healing catalysts for aircraft application

2018 ◽  
Vol 9 (6) ◽  
pp. 723-736 ◽  
Author(s):  
Elisa Calabrese ◽  
Pasquale Longo ◽  
Carlo Naddeo ◽  
Annaluisa Mariconda ◽  
Luigi Vertuccio ◽  
...  
Keyword(s):  
Ruthenium Catalysts ◽  
The Self ◽  
Self Healing ◽  
Catalytic Systems ◽  
Content Type ◽  
Aerospace Applications ◽  
Healing Efficiency ◽  
Relevant Role ◽  
Aircraft Application

PurposeThe purpose of this paper is to highlight the relevant role of the stereochemistry of two Ruthenium catalysts on the self-healing efficiency of aeronautical resins.Design/methodology/approachHere, a very detailed evaluation on the stereochemistry of two new ruthenium catalysts evidences the crucial role of the spatial orientation of phenyl groups in the N-heterocyclic carbene ligands in determining the temperature range within the curing cycles is feasible without deactivating the self-healing mechanisms (ring-opening metathesis polymerization reactions) inside the thermosetting resin. The exceptional activity and thermal stability of the HG2MesPhSyncatalyst, with the syn orientation of phenyl groups, highlight the relevant potentiality and the future perspectives of this complex for the activation of the self-healing function in aeronautical resins.FindingsThe HG2MesPhSyncomplex, with the syn orientation of the phenyl groups, is able to activate metathesis reactions within the highly reactive environment of the epoxy thermosetting resins, cured up to 180°C, while the other stereoisomer, with the anti-orientation of the phenyl groups, does not preserve its catalytic activity in these conditions.Originality/valueIn this paper, a comparison between the self-healing functionality of two catalytic systems has been performed, using metathesis tests and FTIR spectroscopy. In the field of the design of catalytic systems for self-healing structural materials, a very relevant result has been found: a slight difference in the molecular stereochemistry plays a key role in the development of self-healing materials for aeronautical and aerospace applications.

scholarly journals Telling the Untellable: Negotiating Maternal Bereavement in Sophie Daull's Camille, mon envolée (2015)

2019 ◽  
Vol 19 (1) ◽  
pp. 165-185
Author(s):  
Julie Rodgers
Keyword(s):  
Bacterial Infection ◽  
Social Impact ◽  
Point Of View ◽  
The Self ◽  
Traumatic Loss ◽  
Death Scene ◽  
Self Blame ◽  
Mother Figure ◽  
Maternal Motivation ◽  
Insight Into

Sophie Daull's Camille, mon envolée (2015) is an autobiographical depiction of the sudden and traumatic loss of an only daughter (Camille) due to an undetected fatal bacterial infection. It is recounted uniquely from the maternal point of view and directly addresses the daughter throughout. It concerns an incredibly recent bereavement as the writing of the text, the author tells us, commences just one week after the daughter's death. Camille, mon envolée is a markedly intimate and brutally honest account of a mother who is an active witness to and, one could argue, participant in her daughter's agonizing death scene. The text captures the sense of powerlessness that is experienced by the mother, the incomprehensibility of the loss, the self-blame, and, finally, the coming to terms with it and the learning to live on, not without guilt, however. It also offers insight into maternal motivation for writing such a text, ranging from a quest for understanding and an outlet for grief, to a desire to preserve the daughter's memory. Furthermore, through close examination of the physical, psychological and social impact of the death of a child on mother figure subjectivity, Camille mon envolée successfully traces out for the reader the very specific characteristics of maternal bereavement and its overwhelmingly embodied nature. Finally, the text represents an engagement on the part of the grieving mother with what has been termed 'scriptotherapy' in a bid to negotiate this trauma and find a means, not only of remembering the daughter, but also of surviving the tragedy. In this respect, Camille, mon envolée is a text of resistance, where the unthinkable is confronted and the untellable bravely told.

scholarly journals Upward Transition of Indian Entrepreneurs: from Simple Working to Ethnic Entrepreneurship. A Case Study in an Italian Region

2021 ◽  
Vol 13 (3) ◽  
pp. 536-549
Author(s):  
Rahmat Alì Mohammed ◽  
Marcello De Rosa ◽  
Maria Angela Perito
Keyword(s):  
Rural Areas ◽  
Entrepreneurial Orientation ◽  
Point Of View ◽  
Public And Private ◽  
Development Policies ◽  
Cultural Mediators ◽  
Relevant Role ◽  
Local Actors ◽  
Professional Transition

Abstract This paper explores the role of entrepreneurial orientation in addressing upward mechanisms of Indian immigrant workers in rural areas. To achieve this purpose, an empirical analysis was carried out to investigate how entrepreneurial orientation may affect mechanisms of professional transition. Precisely, we managed direct interviews among Indian workers (through the support of cultural mediators), local actors (like public and private advisors) and Italian entrepreneurs. Our funding suggests the presence of three Indian workers in Italy (simple workers, intrapreneurs, entrepreneurs), characterised by different entrepreneurial profile acting as engine or barrier to what we have labelled as “upward transition”. Immigrant entrepreneurs play a relevant role in Italy and in our point of view, it is of paramount importance to allow them to access to rural development policies, knowledge, training and education upgrading.

scholarly journals Cartas privadas y actitudes lingüísticas en España y América durante los siglos XVIII y XIX. Algunos problemas en el modo de acceso al objeto de estudio

2019 ◽  
Vol 10 (1) ◽  
pp. 13
Author(s):  
Manuel Rivas Zancarrón
Keyword(s):  
Point Of View ◽  
The Self ◽  
Ordinary People ◽  
Good Education ◽  
Oral Manifestation ◽  
Language History ◽  
Implicit And Explicit

Together with an oral manifestation put into practice by tradition since birth, necessity drove ordinary people to develop the ability to speak with an absence of the self, the you and the communicative situation. Initially, it was the emigration to America, promoted by the miseries of a decadent homeland, which contributed to the development of a textual genre of urgency, without literary retensions, which in later years became a sign of good education on the part of those using it. With this work, we review the methodological pitfalls that are hidden when accessing this type of object. We analyse the difficulties that might be found by researchers when facing these documents from a philological point of view and from the sociolinguistic view of the attitudes of the speakers—both implicit and explicit. The concept of “discursive tradition” will act as a methodological moderator and will allow the construction of a bridge between diachronic Sociolinguistics and Language History in the recovery of oral remains from the speech of the 18th and 19th centuries in Spain and America.

‘Be Me’: I-Vampire/I-Zombie

2016 ◽  
Author(s):  
Stacey Abbott
Keyword(s):  
Point Of View ◽  
The Self ◽  
First Person ◽  
Film And Television ◽  
Cultural Anxiety ◽  
New Meanings ◽  
Byronic Hero ◽  
Narrative Format ◽  
The Right ◽  
Subsequent Rise

This chapter examines the adoption and development of the first person narrative format within vampire, and more recently zombie, film and television. It considers how this trope has contributed to the rise of the sympathetic/romantic vampire figure from the Byronic hero within Polidori’s The Vampyre to Interview with the Vampire and Byzantium and the subsequent rise of the sympathetic zombie. This chapter questions if this first person point of view empties the vampire and zombie of symbolic agency, or manipulates the genre to explore new meanings. It considers how the genres of the vampire and the zombie are increasingly interconnected, moving away from themes of apocalypse and cultural anxiety to explore questions of identity and the self within a changing world, effectively queering the vampire and zombie for new audiences.Case studies include Let the Right One In, Byzantium, Only Lovers Left Alive, Warm Bodies, Colin, and In the Flesh.

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