Perspectives On Solvable Models

Perspectives On Solvable Models PDF Author: Michael Baake
Publisher: World Scientific
ISBN: 9814501042
Category : Science
Languages : en
Pages : 311

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Book Description
This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.

Perspectives On Solvable Models

Perspectives On Solvable Models PDF Author: Michael Baake
Publisher: World Scientific
ISBN: 9814501042
Category : Science
Languages : en
Pages : 311

Get Book Here

Book Description
This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.

Thermodynamics of One-Dimensional Solvable Models

Thermodynamics of One-Dimensional Solvable Models PDF Author: Minoru Takahashi
Publisher: Cambridge University Press
ISBN: 9780521551434
Category : Science
Languages : en
Pages : 268

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Book Description
Exactly solvable models are very important in physics from a theoretical point of view and also from the experimentalist's perspective, because in such cases theoretical results and experimental results can be compared without ambiguity. This is a book about an important class of exactly solvable models in physics. The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries among condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances. Written by the originator of much of the work in the subject, this book will be of great interest to theoretical condensed matter physicists.

Exactly Soluble Models In Statistical Mechanics - Historical Perspectives And Current Status

Exactly Soluble Models In Statistical Mechanics - Historical Perspectives And Current Status PDF Author: Christopher King
Publisher: World Scientific
ISBN: 9814546593
Category :
Languages : en
Pages : 234

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Book Description
This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 — the first ever conference to deal exclusively with this topic. Besides invited presentations by leading researchers in the field, the conference held a session of contributed papers by participants from throughout the world. The proceedings, which include both the invited and the contributed papers, reflect the broad range of interest in exactly soluble models as well as the diverse fields in physics and mathematics that they connect. Apart from providing concise and timely reviews, the papers in this volume give a snapshot of the current state of affairs. The topics covered range from a historical survey of the field (by E H Lieb) to the latest formulation of a star-star transformation of spin models (by R J Baxter).

Quasicrystals - Proceedings Of The 5th International Conference

Quasicrystals - Proceedings Of The 5th International Conference PDF Author: C Janot
Publisher: World Scientific
ISBN: 9814548650
Category :
Languages : en
Pages : 856

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Book Description
These proceedings cover topics related to Quasicrystals, including tiling descriptions, high dimensional crystallography, structure studies, metallurgy and phase diagrams, and also properties with special emphasis on dynamics, electronic and mechanical behaviour. For the first time, materials made of metals only that behave as insulators are presented. For the first time also application focused research and processing of Quasicrystalline materials are addressed.Invited speakers: J Friedel, D Shechtman, M Baake, D Basov, C Berger, M de Boissieu, T Fujiwara, S Khanna, Y Meyer, S J Poon, C Sire, H Trebin, A P Tsai, M Widdom, M Wollgarten, Z Zhang.

Exactly Solvable Models In Many-body Theory

Exactly Solvable Models In Many-body Theory PDF Author: Norman H March
Publisher: World Scientific
ISBN: 981314016X
Category : Science
Languages : en
Pages : 347

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Book Description
The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.

Perspectives on Solvable Models

Perspectives on Solvable Models PDF Author: Uwe Grimm
Publisher: World Scientific
ISBN: 9789810221072
Category : Science
Languages : en
Pages : 314

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Book Description
This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.

Dialogues Around Models And Uncertainty: An Interdisciplinary Perspective

Dialogues Around Models And Uncertainty: An Interdisciplinary Perspective PDF Author: Pauline Barrieu
Publisher: World Scientific
ISBN: 1786347768
Category : Mathematics
Languages : en
Pages : 376

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Book Description
This book helps develop a better understanding of how researchers from different scientific backgrounds view models and uncertainty. It provides key steps in fostering and encouraging interdisciplinary research, which is vital in addressing several big issues that society faces today, such as climate change, longevity, financial and actuarial risk management. To make progress in these areas, researchers must develop an understanding of differing perspectives and methods of those working in other disciplines.This title presents the views and understandings of eminent people in their respective fields through interviews on the topic of modelling and uncertainty. Each expert was asked the same set of questions to help readers understand the similarities and differences existing between various disciplines. It also helps to bridge some of the gaps encountered by those carrying out inter- and multi-disciplinary research and suggests new approaches to modelling and uncertainty quantification.

MathPhys Odyssey 2001

MathPhys Odyssey 2001 PDF Author: Masaki Kashiwara
Publisher: Springer Science & Business Media
ISBN: 1461200873
Category : Mathematics
Languages : en
Pages : 479

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Book Description
'MathPhys Odyssey 2001' will serve as an excellent reference text for mathematical physicists and graduate students in a number of areas.; Kashiwara/Miwa have a good track record with both SV and Birkhauser.

$q$-Series from a Contemporary Perspective

$q$-Series from a Contemporary Perspective PDF Author: Mourad Ismail
Publisher: American Mathematical Soc.
ISBN: 0821811509
Category : Mathematics
Languages : en
Pages : 446

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Book Description
This volume presents the proceedings of the Summer Research Conference on q-series and related topics held at Mount Holyoke College (Hadley, Massachusetts). All of the papers were contributed by participants and offer original research. Articles in the book reflect the diversity of areas that overlap with q-series, as well as the usefulness of q-series across the mathematical sciences. The conference was held in honour of Richard Askey on the occasion of his 65th birthday.

Mathematical Physics in One Dimension

Mathematical Physics in One Dimension PDF Author: Elliott H. Lieb
Publisher: Academic Press
ISBN: 1483218562
Category : Science
Languages : en
Pages : 580

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Book Description
Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.