SUPERSYMMETRY IN QUANTUM MECHANICS

1990 ◽  
Vol 05 (08) ◽  
pp. 1383-1456 ◽  
Author(s):  
ANURADHA LAHIRI ◽  
PRODYOT KUMAR ROY ◽  
BIJAN BAGCHI

A pedagogical review on supersymmetry in quantum mechanis is presented which provides a comprehensive coverage of the subject. First, the key ingredients on the quantization of the systems with anticommuting variables are discussed. The supersymmetric Hamiltotian in quantum mechanics is then constructed by emphasizing the role of partner potentials and the superpotentials. We also make explicit the mathematical formulation of the Hamiltonian by considering in detail the N=1 and N=2 supersymmetric (quantum) mechanics. Supersymmetry is then discussed in the context of one-dimensional problems and the importance of the factorization method is highlighted. We treat in detail the technique of constructing a hierarchy of Hamiltonians employing the so-called ‘shape-invariance’ of potentials. To make transparent the relationship between supersymmetry and solvable potentials, we also solve several examples. We then go over to the formulation of supersymmetry in radial problems, paying a special attention to the Coulomb and isotropic oscillator potentials. We show that the ladder operator technique may be suitably modified in higher dimensions for generating isospectral Hamiltonians. Next, the criteria for the breaking of supersymmetry is considered and their range of applicability is examined by suitably modifying the definition of Witten’s index. Finally, we perform some numerical calculations for a class of potentials to show how a modified WKB approximation works in supersymmetric cases.

Author(s):  
J. Donald Boudreau ◽  
Eric Cassell ◽  
Abraham Fuks

This book reimagines medical education and reconstructs its design. It originates from a reappraisal of the goals of medicine and the nature of the relationship between doctor and patient. The educational blueprint outlined is called the “Physicianship Curriculum” and rests on two linchpins. First is a new definition of sickness: Patients know themselves to be ill when they cannot pursue their purposes and goals in life because of impairments in functioning. This perspective represents a bulwark against medical attention shifting from patients to diseases. The curriculum teaches about patients as functional persons, from their anatomy to their social selves, starting in the first days of the educational program and continuing throughout. Their teaching also rests on the rock-solid grounding of medicine in the sciences and scientific understandings of disease and function. The illness definition and knowledge base together create a foundation for authentic patient-centeredness. Second, the training of physicians depends on and culminates in development of a unique professional identity. This is grounded in the historical evolution of the profession, reaching back to Hippocrates. It leads to reformulation of the educational process as clinical apprenticeships and moral mentorships. “Rebirth” in the title suggests that critical ingredients of medical education have previously been articulated. The book argues that the apprenticeship model, as experienced, enriched, taught, and exemplified by William Osler, constitutes a time-honored foundation. Osler’s “natural method of teaching the subject of medicine” is a precursor to the Physicianship Curriculum.


2021 ◽  
pp. 097168582110159
Author(s):  
Sital Mohanty ◽  
Subhasis Sahoo ◽  
Pranay Kumar Swain

Science, technology and human values have been the subject of enquiry in the last few years for social scientists and eventually the relationship between science and gender is the subject of an ongoing debate. This is due to the event of globalization which led to the exponential growth of new technologies like assisted reproductive technology (ART). ART, one of the most iconic technological innovations of the twentieth century, has become increasingly a normal social fact of life. Since ART invades multiple human discourses—thereby transforming culture, society and politics—it is important what is sociological about ART as well as what is biological. This article argues in commendation of sociology of technology, which is alert to its democratic potential but does not concurrently conceal the historical and continuing role of technology in legitimizing gender discrimination. The article draws the empirical insights from local articulations (i.e., Odisha state in eastern India) for the understandings of motherhood, freedom and choice, reproductive right and rights over the body to which ART has contributed. Sociologically, the article has been supplemented within the broader perspectives of determinism, compatibilism alongside feminism.


2019 ◽  
Vol 1 (1) ◽  
pp. 177-183
Author(s):  
Jan Guncaga ◽  
Lilla Korenova ◽  
Jozef Hvorecky

AbstractLearning is a complex phenomenon. Contemporary theories of education underline active participation of learners in their learning processes. One of the key arguments supporting this approach is the learner’s simultaneous and unconscious development of their ability of “learning to learn”. This ability belongs to the soft skills highly valued by employers today.For Mathematics Education, it means that teachers have to go beyond making calculations and memorizing formulas. We have to teach the subject in its social context. When the students start understanding the relationship between real-life problems and the role of numbers and formulas for their solutions, their learning becomes a part of their tacit knowledge. Below we explain the theoretical background of our approach and provide examples of such activities.


2021 ◽  
Vol 22 (12) ◽  
pp. 6222
Author(s):  
Kacper Szewczyk ◽  
Aleksandra Chojnacka ◽  
Magdalena Górnicka

Tocopherols and tocotrienols are natural compounds of plant origin, available in the nature. They are supplied in various amounts in a diet, mainly from vegetable oils, some oilseeds, and nuts. The main forms in the diet are α- and γ-tocopherol, due to the highest content in food products. Nevertheless, α-tocopherol is the main form of vitamin E with the highest tissue concentration. The α- forms of both tocopherols and tocotrienols are considered as the most metabolically active. Currently, research results indicate also a greater antioxidant potential of tocotrienols than tocopherols. Moreover, the biological role of vitamin E metabolites have received increasing interest. The aim of this review is to update the knowledge of tocopherol and tocotrienol bioactivity, with a particular focus on their bioavailability, distribution, and metabolism determinants in humans. Almost one hundred years after the start of research on α-tocopherol, its biological properties are still under investigation. For several decades, researchers’ interest in the biological importance of other forms of vitamin E has also been growing. Some of the functions, for instance the antioxidant functions of α- and γ-tocopherols, have been confirmed in humans, while others, such as the relationship with metabolic disorders, are still under investigation. Some studies, which analyzed the biological role and mechanisms of tocopherols and tocotrienols over the past few years described new and even unexpected cellular and molecular properties that will be the subject of future research.


2021 ◽  
Vol 54 (2) ◽  
pp. 121-129
Author(s):  
Vera B. Tsarcova ◽  

The article is devoted to one of the problems of foreign language education – the definition of the role of interpretation in preparing students of special (language) directions to participate in the dialogue of cultures. Interpretation is considered as a phenomenon and as a way of comprehending reality, which allows the subjects of the dialogue of cultures to reach mutual understanding. The main characteristic of interpretation, which is necessary for the purposes of foreign language education, is its psychological character. It is determined by the psychology of the author, the psychology of the work, as well as the psychology of the reader-interpreter. It is proved that the interpretation of a work of art, which has universal, historical and personal plans, has huge epistemological and axiological possibilities. They activate the entire educational potential of interperetation (educational, developmental, cognitive, and educational). Russian Russian poet A. A. Fet (1820–1892) uses the poem “Wir saßen am Fischerhaus” by the famous German poet and publicist Heinrich Hein (1797–1856) and the translation of this poem into Russian to illustrate the interpretation technology. The poem is considered as a space of personal meanings of the author. They are the ones that are subject to interpretation and bring the reader-interpreter back from the poet's world to the modern real world. And the real world is full of unexpected cultural facts, closely related to the content of the work of G. Heine, with distant Lapland and the life of modern lapps. Thus, interpretation is presented as an educational strategy. Together with the strategies of contextualization, philologization and argumentation, it ensures the achievement of the main goal of foreign language education – the creation of an individual who can act as a genuine subject of the dialogue of cultures. The article also emphasizes the importance of the teacher as the organizer of the educational process and the subject of the dialogue of cultures.


TERRITORIO ◽  
2009 ◽  
pp. 171-177
Author(s):  
Alessandra Giannini

- Country life is (and has been) the object of utopian visions, set against the rise of urban living. The paradigms of the myth of rural life can be traced back to Howard's Garden City and to Frank Lloyd Wright's Broadacre City. These examples of the paradigm blend into a broader and trans-disciplinary contemporary discourse on the myth of rural living. Since the end of the 1990s, the subject of the relationship between the rural and the urban has developed into plans that could be called ‘country utopias'. The system of agricultural production and the countryside is evolving today towards new forms of integration and hybridisation with urban areas. Planning practices are emerging today in the definition of the characters and traits of urban agriculture designed to create town and country interaction particularly in marginal areas, strips located on the borders between town and country. These modifications are leading to the definition of new rural figures, together with plans capable of giving new life to liminal and marginal areas between town and country by creating new models of ‘rururban' living.


1987 ◽  
Vol 53 (4) ◽  
pp. 295-299 ◽  
Author(s):  
Marleen Pugach ◽  
Mara Sapon-Shevin

The calls for educational reform that have dominated the professional and lay literature for the past few years have been decidedly silent in discussing the role of special education either as a contributor or a solution to the problems being raised. As an introduction to this “Special Focus” on the relationship between general educational reform and special education, this article summarizes some of the more prominent reports with regard to their treatment (and nontreatment) of special education. The impact of proposed reforms for the conceptualization and operation of special education is the subject of the five articles that follow.


Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 557 ◽  
Author(s):  
Jiaru Li ◽  
Fangwei Zhang ◽  
Qiang Li ◽  
Jing Sun ◽  
Janney Yee ◽  
...  

The subject of this study is to explore the role of cardinality of hesitant fuzzy element (HFE) in distance measures on hesitant fuzzy sets (HFSs). Firstly, three parameters, i.e., credibility factor, conservative factor, and a risk factor are introduced, thereafter, a series of novel distance measures on HFSs are proposed using these three parameters. These newly proposed distance measures handle the relationship between the cardinal number and the element values of hesitant fuzzy set well, and are suitable to combine subjective and objective decision-making information. When using these functions, decision makers with different risk preferences are allowed to give different values for these three parameters. In particular, this study transfers the hesitance degree index to a credibility of the values in HFEs, which is consistent with people’s intuition. Finally, the practicability of the newly proposed distance measures is verified by two examples.


2013 ◽  
pp. 215-234
Author(s):  
Milos Cvetkovic

The text cites the results of the study of the role of merarches, which were a part of the military organization of the Empire in the early Byzantine period. Later historical documents do not give any notion of this position for more than two centuries. The merarches became a part of the thematic organization in the middle of 9th century. Our ability to fully understand the nature of their function is limited due to the scarcity of source materials; this, however, may be overcome by taking into account, the general and political situation in the Empire, that is, by considering the military reforms executed in the 9th and 10th century. This paper focuses on the problem of the military-administrative competences of the merarches, which have been the subject of different interpretations in the modern, scholarly literature. One of the aims of this research is the definition of the timeframe within which the reestablishment of this rank in the Byzantine army occured.


2009 ◽  
Vol 37 (1/2) ◽  
pp. 43-81
Author(s):  
Patrizia Calefato

This paper focuses on the semiotic foundations of sociolinguistics. Starting from the definition of “sociolinguistics” given by the philosopher Adam Schaff, the paper examines in particular the notion of “critical sociolinguistics” as theorized by the Italian semiotician Ferruccio Rossi-Landi. The basis of the social dimension of language are to be found in what Rossi-Landi calls “social reproduction” which regards both verbal and non-verbal signs. Saussure’s notion of langue can be considered in this way, with reference not only to his Course of General Linguistics, but also to his Harvard Manuscripts.The paper goes on trying also to understand Roland Barthes’s provocative definition of semiology as a part of linguistics (and not vice-versa) as well as developing the notion of communication-production in this perspective. Some articles of Roman Jakobson of the sixties allow us to reflect in a manner which we now call “socio-semiotic” on the processes of transformation of the “organic” signs into signs of a new type, which articulate the relationship between organic and instrumental. In this sense, socio-linguistics is intended as being sociosemiotics, without prejudice to the fact that the reference area must be human, since semiotics also has the prerogative of referring to the world of non-human vital signs.Socio-linguistics as socio-semiotics assumes the role of a “frontier” science, in the dual sense that it is not only on the border between science of language and the anthropological and social sciences, but also that it can be constructed in a movement of continual “crossing frontiers” and of “contamination” between languages and disciplinary environments.


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