Classical and Quantum Statistical Physics

2022 ◽  
Author(s):  
Carlo Heissenberg ◽  
Augusto Sagnotti
Keyword(s):  
Statistical Physics ◽  
Quantum Spin ◽  
Quantum Spin Chains ◽  
Vacuum Fluctuations ◽  
Quantum Properties ◽  
Scientific Disciplines ◽  
Large Ensembles ◽  
The Subject ◽  
Quantum Statistical

Statistical physics examines the collective properties of large ensembles of particles, and is a powerful theoretical tool with important applications across many different scientific disciplines. This book provides a detailed introduction to classical and quantum statistical physics, including links to topics at the frontiers of current research. The first part of the book introduces classical ensembles, provides an extensive review of quantum mechanics, and explains how their combination leads directly to the theory of Bose and Fermi gases. This allows a detailed analysis of the quantum properties of matter, and introduces the exotic features of vacuum fluctuations. The second part discusses more advanced topics such as the two-dimensional Ising model and quantum spin chains. This modern text is ideal for advanced undergraduate and graduate students interested in the role of statistical physics in current research. 140 homework problems reinforce key concepts and further develop readers' understanding of the subject.

Integrability in statistical physics and quantum spin chains

2019 ◽  
pp. 1-59
Author(s):  
Jesper Lykke Jacobsen
Keyword(s):  
Statistical Physics ◽  
Continuum Limit ◽  
Critical Case ◽  
Specific Model ◽  
Quantum Spin ◽  
Spin Chains ◽  
Target Space ◽  
Quantum Spin Chains ◽  
Conformal Field ◽  
Theta Point

This chapter illustrates basic concepts of quantum integrable systems on two important models of statistical physics: the Q-state Potts model and the O(n) model. Both models are transformed into loop and vertex models that provide representations of the dense and dilute Temperley–Lieb algebras. The identification of the corresponding integrable R-matrices leads to the solution of both models by the algebraic Bethe Ansatz technique. Elementary excitations are discussed in the critical case and the link to conformal field theory in the thermodynamic limit is established. The concluding sections outline the solution of a specific model of the theta point of collapsing polymers, leading to a continuum limit with a non-compact target space.

scholarly journals INTEGRATED APPROACH IN THE METHOD OF REPRESENTATION OF THE LECTURE MATERIAL ON HUMANITARIAN CYCLE DISCIPLINES

2021 ◽  
Vol 10 (34) ◽  
Author(s):  
N.V DEVDARIANI ◽  
◽  
E.V RUBTSOVA ◽  
Keyword(s):  
Integrated Approach ◽  
Leading Role ◽  
Lecture Material ◽  
Scientific Disciplines ◽  
Modern Natural ◽  
The World ◽  
The Subject ◽  
Russian Universities ◽  
Philosophical Understanding

This article presents the methodological development of lectures, material which may be used in the study course "Philosophy", "Philosophy of science and technology" and "concepts of modern natural Sciences" (cmns) for students of the Humanities in Russian universities. This lecture on "Philosophical understanding of the concept of "life": biocentricity picture of the world" presents the main approaches to the idea of the modern scientific picture of the world. Such a summary of the lecture material, according to the authors, due to the need to change existing approaches to teaching of specific disciplines. In particular those which involve integrated knowledge from different scientific disciplines and the subject of study which are universal categories and phenomena. It is noted that in the conditions of modern technogenic civilization machineoriented, justified is the issue of revision of existing views about the current ideological approach to the basic concepts, components of a comprehensive scientific picture of the world. In this article, the authors examine biocentricity picture of the world in which the author focuses on the leading role of the life. It is concluded that a comprehensive summary of the lecture material various areas of scientific knowledge, contributes to the formation of metacognitive abilities of students in the course of studying the above disciplines.

scholarly journals ASPECTS OF INTEGRABILITY IN $\mathcal{N} = 4$ SYM

2007 ◽  
Vol 22 (34) ◽  
pp. 2549-2563 ◽  
Author(s):  
ABHISHEK AGARWAL
Keyword(s):  
Gauge Theory ◽  
Integrable Systems ◽  
Closed String ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Four Dimensions ◽  
Yang Mills ◽  
Open Strings

Various recently developed connections between supersymmetric Yang–Mills theories in four dimensions and two-dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this review, we highlight some connections between superconformal four-dimensional Yang–Mills theory and various integrable systems. In particular, we focus on the role of Yangian symmetries in studying the gauge theory dual of closed string excitations. We also briefly review how the gauge theory connects to Calogero models and open quantum spin chains through the study of the gauge theory duals of D3 branes and open strings ending on them. This invited review is based on a seminar given at the Institute of Advanced Study, Princeton.

scholarly journals Teaching Mathematics to Non-Mathematics Majors through Problem Solving and New Technologies

2022 ◽  
Vol 12 (1) ◽  
pp. 34
Author(s):  
Marina Marchisio ◽  
Sara Remogna ◽  
Fabio Roman ◽  
Matteo Sacchet
Keyword(s):  
Problem Solving ◽  
New Technologies ◽  
First Year ◽  
Teaching Mathematics ◽  
Science Students ◽  
Mathematics Majors ◽  
Scientific Disciplines ◽  
The Subject ◽  
Students Attitudes

The role of mathematics in several scientific disciplines is undisputed; work and everyday life take great advantage of its application. Nevertheless, students often tend to not particularly like it and to consider it of little interest. It is also believed that only people with a certain attitude are capable of mastering the subject. In consideration of this, we aimed to help science students develop mathematical competences by designing a course specifically oriented to applications and problem solving. We administered our course to students attending the first year of a program in biotechnology, asking them to work with technologies instilling curiosity and interest, thus achieving a better proficiency as a consequence. Two questionnaires, along with access and proficiency data, allowed us to collect information about students’ attitudes, beliefs, and activity, which we analyzed by means of descriptive statistics. The promotion of the interaction among learners made them active users of the contents, thus allowing for the adaptation of their learning paths according to their personal necessities, as well as the development of teamwork skills and flexibility. Finally, students recognized the usefulness of the problem-solving approach and the role played by software.

scholarly journals Do we need state and what for? The role of the state in the modern World

2019 ◽  
Vol 8 ◽  
pp. 13-28
Author(s):  
Marek Sobczyński
Keyword(s):  
Economic History ◽  
The State ◽  
Modern World ◽  
Modern Times ◽  
Political Sciences ◽  
Role Of The State ◽  
Scientific Disciplines ◽  
The Subject

The state is subject of interest to many scientific disciplines: constitutional and international law, sociology, philosophy, administrative and political sciences, social psychology, economics, political and economic history, military sciences, regional studies and, of course, political geography and geopolitics. In the course of history, from ancient to modern times, the state was defined in very different ways. The author comes out in his deliberations from the analysis of the elements that make up the various definitions of the state. Then he reviews the classification of functions that the modern state fulfills and analyzes the way in which they are implemented in various countries around the world, trying to answer the question, is the state necessary for citizens and for what? Finally, the author draws attention to the frequent undertaking of the subject matter of the functioning of the state in the world’s belles-lettres in epic works and in dramas both in the past and nowadays. The last issue raised in the paper is the analysis of the functioning of unrecognized countries, mainly European ones, and what are the consequences of their exclusion from the international community influencing the life of their inhabitants, economy and functioning of their societies.

scholarly journals QUANTUM LOOP MODULES AND QUANTUM SPIN CHAINS

1994 ◽  
Vol 09 (22) ◽  
pp. 3925-3958
Author(s):  
DANIEL ALTSCHULER ◽  
BRIAN DAVIES
Keyword(s):  
Sufficient Conditions ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Affine Algebra ◽  
Quantum Spin Chains ◽  
Affine Algebra ◽  
Highest Weight ◽  
Necessary And Sufficient ◽  
Loop Modules

We construct level-0 modules of the quantum affine algebra [Formula: see text], as the q-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case of highest weight modules. We also consider the role of loop modules in the recent scheme for diagonalizing certain quantum spin chains using their [Formula: see text] symmetry.

Relaxation inS=1/2 quantum spin chains: The role of second neighbor interactions

1996 ◽  
Vol 53 (6) ◽  
pp. 3398-3408 ◽  
Author(s):  
Surajit Sen ◽  
Carl N. Hoff ◽  
Dennis E. Kuhl ◽  
David A. McGrew
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains

Top-Down Processing and Visual Reorientation Illusions in a Virtual Reality Environment

2004 ◽  
Vol 63 (3) ◽  
pp. 143-149 ◽  
Author(s):  
Fred W. Mast ◽  
Charles M. Oman
Keyword(s):  
Virtual Reality ◽  
Visual Processing ◽  
Line Length ◽  
Perceptual Cues ◽  
Virtual Reality Environment ◽  
Top Down ◽  
Test Conditions ◽  
The Subject ◽  
Processing Mechanisms

The role of top-down processing on the horizontal-vertical line length illusion was examined by means of an ambiguous room with dual visual verticals. In one of the test conditions, the subjects were cued to one of the two verticals and were instructed to cognitively reassign the apparent vertical to the cued orientation. When they have mentally adjusted their perception, two lines in a plus sign configuration appeared and the subjects had to evaluate which line was longer. The results showed that the line length appeared longer when it was aligned with the direction of the vertical currently perceived by the subject. This study provides a demonstration that top-down processing influences lower level visual processing mechanisms. In another test condition, the subjects had all perceptual cues available and the influence was even stronger.

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models

The future role of the psychiatrist in Europe – a UEMS perspective

2014 ◽  
Vol 11 (01) ◽  
pp. 35-42
Author(s):  
M. Hermans
Keyword(s):  
Mental Health ◽  
Mental Health Professionals ◽  
Health Professionals ◽  
General Interest ◽  
Future Role ◽  
Personal Opinion ◽  
The Future ◽  
The Subject ◽  
The Many

SummaryThe author presents his personal opinion inviting to discussion on the possible future role of psychiatrists. His view is based upon the many contacts with psychiatrists all over Europe, academicians and everyday professionals, as well as the familiarity with the literature. The list of papers referred to is based upon (1) the general interest concerning the subject when representing ideas also worded elsewhere, (2) the accessibility to psychiatrists and mental health professionals in Germany, (3) being costless downloadable for non-subscribers and (4) for some geographic aspects (e.g. Belgium, Spain, Sweden) and the latest scientific issues, addressing some authors directly.

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