scholarly journals The q-analogue of the Higgs algebra

2021 ◽  
Vol 57 (4) ◽  
pp. 447-454
Author(s):  
A. N. Lavrenov ◽  
I. A. Lavrenov
Keyword(s):  
Harmonic Oscillator ◽  
Explicit Form ◽  
Standard Form ◽  
Operator Space ◽  
Fourth Power ◽  
Creation And Annihilation Operators ◽  
Commutation Relations ◽  
Higgs Algebra ◽  
The Creation ◽  
The Relationship

In this paper, the q-generalization of the Higgs algebra is considered. The realization of this algebra is shown in an explicit form using a nonlinear transformation of the creation-annihilation operators of the q-harmonic oscillator. This transformation is the performance of two operations, namely, a “correction” using a function of the original Hamiltonian, and raising to the fourth power the creation and annihilation operators of a q-harmonic oscillator. The choice of the “correcting” function is justified by the standard form of commutation relations for the operators of the metaplectic realization Uq(SU(1,1)). Further possible directions of research are briefly discussed to summarize the results obtained. The first direction is quite obvious. It is the consideration of the problem when the dimension of the operator space increases or for any value N. The second direction can be associated with the analysis of the relationship between q-generalizations of the Higgs and Hahn algebras.

scholarly journals THE q-DEFORMED SCHRÖDINGER EQUATION OF THE HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE

1994 ◽  
Vol 09 (22) ◽  
pp. 3989-4008 ◽  
Author(s):  
URSULA CAROW-WATAMURA ◽  
SATOSHI WATAMURA
Keyword(s):  
Euclidean Space ◽  
Difference Equation ◽  
Schrödinger Equation ◽  
Harmonic Oscillator ◽  
Schrodinger Equation ◽  
Energy Levels ◽  
Series Representation ◽  
Exponential Functions ◽  
Creation And Annihilation Operators ◽  
The Creation

We consider the q-deformed Schrödinger equation of the harmonic oscillator on the N-dimensional quantum Euclidean space. The creation and annihilation operators are found, which systematically produce all energy levels and eigenfunctions of the Schrödinger equation. In order to get the q series representation of the eigenfunction, we also give an alternative way to solve the Schrödinger equation which is based on the q analysis. We represent the Schrödinger equation by the q difference equation and solve it by using q polynomials and q exponential functions.

Eine gruppentheoretische Methode zur Berechnung von Skalarprodukten zwischen HFB-Zuständen / A Group Theoretical Method for Calculating Overlaps of HFB States

1973 ◽  
Vol 28 (7) ◽  
pp. 1049-1055 ◽  
Author(s):  
Heinz Günter Becker
Keyword(s):  
State Vector ◽  
Characteristic Property ◽  
Theoretical Method ◽  
Theoretical Methods ◽  
Creation And Annihilation Operators ◽  
Commutation Relations ◽  
Group Theoretical Method ◽  
Hartree Fock ◽  
The Creation

Overlaps of Hartree-Fock-Bogoljubov states occurring in modified HFB theories (e. g. projected HFB) are calculated using group theoretical methods. For this purpose the Bogoliubov-Valatin transformation is generalized. The resulting nonunitary transformation leaves the Fermi commutation relations invariant, but the characteristic property of the creation and annihilation operators, namely that they are hermitean conjugate to each other, is lost. A suitable factorization of the new transformation is derived, which also applies to the unitary Bogoliubov-Valatin transformation but the structure of which is completely different from the well-known Bloch-Messiah decomposition. Furthermore, the relation between various representations of the HFB state vector is clarified.

THE HIDDEN SYMMETRY FOR A QUANTUM SYSTEM WITH A PÖSCHL–TELLER-LIKE POTENTIAL

2003 ◽  
Vol 12 (06) ◽  
pp. 809-815 ◽  
Author(s):  
SHI-HAI DONG ◽  
GUO-HUA SUN ◽  
YU TANG
Keyword(s):  
Quantum System ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Creation And Annihilation Operators ◽  
Commutation Relations ◽  
Hidden Symmetry ◽  
The Matrix ◽  
The Creation ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl–Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin (ρ) and [Formula: see text] with ρ=πx/L.

The Agreement of Uncontroversial Evidence and the Presumption of Innocence: An Insoluble Dilemma?

2002 ◽  
Vol 6 (1) ◽  
pp. 25-45 ◽  
Author(s):  
Peter Duff
Keyword(s):  
Criminal Justice ◽  
Criminal Trial ◽  
Presumption Of Innocence ◽  
Justice Process ◽  
Criminal Justice Process ◽  
The Creation ◽  
The Relationship

On 1 April 1996, a rather odd provision was introduced into the Scottish criminal justice process, namely a duty on both prosecution and defence to try to agree uncontroversial evidence in advance of criminal trial.1 As far as the writer is aware, such a provision is unique, although the philosophy underlying its introduction is not totally alien to inquisitorial systems of criminal justice.2 What is particularly peculiar about this duty is that there is no sanction for a failure, however unreasonable, to agree uncontroversial evidence.3 The lack of a sanction resulted from a concern that the creation of any penalty would impinge unjustifiably upon the rights of the accused. The intention in this article is to explore in detail the relationship between the duty to agree uncontroversial evidence and the position of the accused, and to suggest that the imposition of a sanction for a breach of this duty is not as problematic as was thought by those responsible for the legislation.

Kajian Sosiologis Terhadap Tema Lakon ‘Domba-domba Revolusi’ Karya Bambang Soelarto

Panggung ◽  
2014 ◽  
Vol 24 (1) ◽  
Author(s):  
Nur Sahid
Keyword(s):  
Sociological Theory ◽  
Essential Element ◽  
Literary Work ◽  
The Political ◽  
Basic Principles ◽  
Historical Figures ◽  
Sociology Of Art ◽  
The Creation ◽  
Relationship Of ◽  
The Relationship

ABSTRACTRevolutionary struggle in order to compete for the independence of Indonesia has been a source of inspiration Indonesian artists, including Bambang Soelarto who wrote drama Domba-domba Re- volusi (DDR). DDR studied drama is quite interesting because it tries to criticize the freedom fight- ers. This study aims to: first to know the theme and the problem plays DDR; second to determine the relationship of the socio - historical struggle in 1948 with the sociological elements of drama DDR themes and issues. This study uses sociological theory of art. The basic principles of the sociology of art is the fact that the creation of works of art influenced by the historical social conditions where the work was created. Research using content analysis of Krippendorf, the methods used to examine the symbolic phenomena with the aim to explore and express the observed phenomenon which is the content, meaning, and an essential element of the literary work. Based results of this research is that Bambang Soelarto as the author tries to capture di?erence between fighters during the struggle for the political aspirations for 1948 are expressed in a work of drama. Historical events inspired the creation of drama DDR. Soelarto want to respond to the political aspirations of the di?erence between historical figures and wanted to provide an assessment and outlook through DDR.Keywords: themes, drama, sociology of art, social historical ABSTRAKRevolusi perjuangan dalam rangka memperebutkan kemerdekaan Indonesia telah men- jadi sumber inspirasi para seniman Indonesia, termasuk Bambang Soelarto yang menulis drama Domba-domba Revolusi (DDR). Drama DDR cukup menarik diteliti karena mencoba mengkritisi para pejuang kemerdekaan. Penelitian ini bertujuan untuk: pertama, mengeta- hui tema dan permasalah drama DDR; kedua, mengetahui hubungan kondisi sosio-histo- ris perjuangan pada tahun 1948 dengan unsur-unsur sosiologis terimplisir pada unsur tema dan masalah drama DDR. Penelitian ini menggunakan teori sosiologi seni. Prinsip dasar dari sosiologi seni adalah adanya fakta bahwa penciptaan karya seni dipengaruhi oleh kon- disi sosial historis tempat karya itu diciptakan. Penelitian ini menggunakan metode con- tent analysis dari Krippendorf, yakni metode yang dipergunakan untuk meneliti fenome- na-fenomena simbolik dengan tujuan untuk menggali dan mengungkapkan fenomena yang teramati yang merupakan isi, makna, dan unsur esensial karya sastra. Berdasarkan hasil penelitian dapat diketahui bahwa Bambang Soelarto sebagai penulis mencoba un- tuk menangkap perbedaan antara pejuang aspirasi politik selama perjuangan tahun 1948 untuk diekspresikan dalam sebuah karya drama. Peristiwa sejarah mengilhami penciptaan drama DDR. Soelarto ingin menanggapi aspirasi politik perbedaan antara tokoh-tokoh se- jarah dan ingin memberikan penilaian dan pandangan pandangannnya melalui DDR.Kata kunci: tema, drama, sosiologi seni, sosial historis

Imagery and Metaphorical Space of the Term in the Language of Scientific Texts by V. Vinogradov

2018 ◽  
Vol 79 (9) ◽  
pp. 61-66
Author(s):  
N. V. Khalikovа
Keyword(s):  
Historical Context ◽  
Semantic Structure ◽  
Scientific Thinking ◽  
Scientific Texts ◽  
Basic Term ◽  
Pragmatic Information ◽  
The Creation ◽  
The Relationship

The article considers the functions of the system of verbal imagery’s in the creation of the scientific style of V.V. Vinogradov. The figurativeness of basic, background and metaphorical terms is described. The semantic structure of the image of the basic term «style» is analyzed, figurative paradigms of the concepts Language, Speech and Style are revealed. The article shows the relationship between scientific thinking and metaphorical style, the role of sustainable cognitive metaphors in the creation, storage and transfer of pragmatic information and the creation of a cultural and historical context.

سؤال العلاقة بين الفطرة والشريعة: قراءة معرفية (The Question of the Relationship between Shariah and Human Nature/fitrah: An Epistemological Review)

2018 ◽  
Vol 15 (1) ◽  
pp. 1-42
Author(s):  
المختار الأحمر
Keyword(s):  
Human Nature ◽  
Islamic Law ◽  
Interconnected Systems ◽  
Evolutionary Aspect ◽  
Islamic Thought ◽  
The Creation ◽  
The Relationship ◽  
Evolutionary Aspects ◽  
Shed Light

الملخّص يتناول البحث علاقة الفطرة بالشريعة في التفكير الإسلامي، وما تطرحه هذه العلاقة سواء على مستوى بيان الجوانب المتعلقة بخَلْق الإنسان وما فُطِر عليه ابتداء، وهذا البعد يمثّل الجانب التكوني في مفهوم الفطرة، أو على المستوى المتعلق بالشريعة وفطريتها، أي أنها جارية وفق ما يدركه العقل وتشهد به الفطرة، وهذا البعد يمثّل الجانب التشريعي الذي يطرحه مفهوم الفطرة. لقد زخرت أغلب الكتابات بتناول جانبا واحدا مما يتيحه أو يعكسه مفهوم الفطرة، لكن البحث في العلاقة التناسبية بين الفطرة والشريعة، وما يتيحه هذا النظر المتلازم بين المفهومين على مستوى الإمكانات المتعلقة بقدرات الإنسان الفطرية في فهم وتعقّل الخطاب الشرعي والأحكام التكليفية، والوقوف على غاياته ومقاصده، يبقى في حاجة إلى البحث والاستقصاء. ولذلك تأتي هذه الدراسة لتسليط الضوء على الجانب التشريعي والتكويني في علاقة الشريعة بالفطرة، باعتبارهما نظامين متلازمين يتيحان فهم طبيعة الشريعة وأحكامها ومقاصدها من جهة، وتحديد جوهر وماهية الإنسان الفطرية وإمكاناته في تعقّل هذه الشريعة من جهة ثانية.                  الكلمات المفتاحية: الفطرة، الشريعة، الدين، التكاليف، العقل. Abstract This research addresses the relationship between premordial human nature (fitrah) and Islamic law (SharÊÑah) within the frame of Islamic thought, while exploring the questions it raises at two levels. The first level explains the aspects related to the creation of man and what has initially been bestowed upon him, which represents the evolutionary aspect of the concept of fiÏrah. The second level is related to SharÊÑah and its nature, which evolves according to what is percieved by reason and witnessed by fiÏrah; this represents the legislative aspect presented by the concept of fiÏrah. The majority of studies to date address a single aspect of the illustrations of the concept of fiÏrah. However, research on the dialectic relationship between fiÏrah and SharÊÑah and what its relevant concurrent view provides at the level of potentials related to human innate capacities in understanding and realizing SharÊÑah discourse and mandatory provisions as well as understanding its objectives  remains scarce and requires further research and investigation. Therefore, this study intends to shed light on the legislative and evolutionary aspects of the relationship between SharÊÑah and fiÏrah as two interconnected systems that allow for the understanding of the nature of SharÊÑah, its provisions and purposes, as well as identifying the essence of human innate nature and its potential in perceiving SharÊÑah. Keywords: human nature (fiÏrah), Islamic law (SharÊÑah), religious mandates (TakÉlif), religion, intellect (ÑAqal).

scholarly journals Portrait of the artist as a philosopher

2021 ◽  
pp. 105971232199468
Author(s):  
Jeannette Pols
Keyword(s):  
Know How ◽  
The Past ◽  
Aesthetic Practice ◽  
The Creation ◽  
The Aesthetic ◽  
The Relationship

The response asks about the relationship between artist and audience in the RAAAF artworks. Is the artist an Autonomous Innovator who breaches the ties with the past and the environment? Or is the aesthetic practice located in the creation of relationships around these objects, hence expanding the artwork by using know-how, experiences and enthusiasm of the audience/users?

Dance and Ethnicity

2016 ◽  
Author(s):  
Anthony Shay ◽  
Barbara Sellers-Young
Keyword(s):  
Cultural Studies ◽  
Ethnic Groups ◽  
Identity Construction ◽  
Research Approach ◽  
Transnational Politics ◽  
Dance Studies ◽  
Ethnic Category ◽  
The Creation ◽  
The Relationship ◽  
Active Contributor

Ethnic groups have been defined as people who share a common ethos based on ancestry, nation, language and other identity markers. This volume brings scholars from across the globe that have incorporated perspectives from critical and cultural studies in an investigation of what it means to define oneself in an ethnic category and how this category is performed and represented as an ethnicity. The essays in this volume engage the four themes of identity construction, local and transnational politics, appropriation and related exotification, and resistance that are part of the ongoing discourse in the relationship between dance and ethnicity. Cumulatively, the essays in their research approach and methodology document the change that has taken place in dance studies from the ethnic as an easily identified category based on biology and geography to ethnicity as a fluid concept and dance as an active contributor to the creation and negotiation of it.

Technology and Employment in Developing Countries

1978 ◽  
Vol 16 (4) ◽  
pp. 549-564 ◽  
Author(s):  
J. W. Garmany
Keyword(s):  
Developing Countries ◽  
Optimum Combination ◽  
Current Consumption ◽  
The Creation ◽  
Relationship Of ◽  
The Relationship ◽  
Choice Of Technology

This article discusses some of the issues involved in the choice of technology in developing countries, especially those in Africa, and the relationship of this to employment and output. The problem is to find an optimum combination of productive resources that comes nearest to satisfying two objectives: the full and economically efficient utilisation of such resources, and the creation of as much surplus as possible over current consumption, thereby making possible new investment and long-term growth.

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