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Quantum Theory from Small to Large Scales
Lecture Notes of the Les Houches Summer School: Volume 95, August 2010
AvLeticia F. Cugliandolo,Wojciech De Roeckm. fl.
E-bok
PDF, Engelska, 2012
906 kr
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This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "Quantum Theory: From Small to Large Scales". Fundamental quantum phenomena appear on all scales, from microscopic to macroscopic. Some of the pertinent questions include the onset of decoherence, the dynamics of collective modes, the influence of external randomness and the emergence of dissipative behaviour. Our understanding of such phenomena has been advanced by thestudy of model systems and by the derivation and analysis of effective dynamics for large systems and over long times. In this field, research in mathematical physics has regularly contributed results that were recognized as essential in the physics community. During the last few years, the keyquestions have been sharpened and progress on answering them has been particularly strong. This book reviews the state-of-the-art developments in this field and provides the necessary background for future studies. All chapters are written from a pedagogical perspective, making the book accessible to master and PhD students and researchers willing to enter this field.
Quantum Theory from Small to Large Scales
Lecture Notes of the Les Houches Summer School: Volume 95, August 2010
AvJürg Frohlich,Manfred Salmhoferm. fl.
Inbunden, Engelska, 2012
1 421 kr
Skickas inom 3-6 vardagar
This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "Quantum Theory: From Small to Large Scales". Fundamental quantum phenomena appear on all scales, from microscopic to macroscopic. Some of the pertinent questions include the onset of decoherence, the dynamics of collective modes, the influence of external randomness and the emergence of dissipative behaviour. Our understanding of such phenomena has been advanced by the study of model systems and by the derivation and analysis of effective dynamics for large systems and over long times. In this field, research in mathematical physics has regularly contributed results that were recognized as essential in the physics community. During the last few years, the key questions have been sharpened and progress on answering them has been particularly strong. This book reviews the state-of-the-art developments in this field and provides the necessary background for future studies. All chapters are written from a pedagogical perspective, making the book accessible to master and PhD students and researchers willing to enter this field.
New Symmetry Principles in Quantum Field Theory
Proceedings of a NATO ASI Held in Cargese, France, July 16-27, 1991
AvJurg Frohlich,North Atlantic Treaty Organizationm. fl.
Inbunden, Engelska, 1992
869 kr
Skickas inom 10-15 vardagar
Quantum Groups, Quantum Categories and Quantum Field Theory
AvThomas Kerler,Jurg Frohlich
E-bok
PDF, Engelska, 2006
710 kr
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This book reviews recent results on low-dimensional quantumfield theories and their connection with quantum grouptheory and the theory of braided, balanced tensorcategories. It presents detailed, mathematically preciseintroductions to these subjects and then continues with newresults. Among the main results are a detailed analysis ofthe representation theory of U (sl ), for q a primitiveroot of unity, and a semi-simple quotient thereof, aclassfication of braided tensor categories generated by anobject of q-dimension less than two, and an application ofthese results to the theory of sectors in algebraic quantumfield theory. This clarifies the notion of "quantizedsymmetries" in quantum fieldtheory. The reader is expectedto be familiar with basic notions and resultsin algebra.The book is intended for research mathematicians,mathematical physicists and graduate students.
Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory
AvAlan D. Sokal,Jurg Frohlichm. fl.
E-bok
PDF, Engelska, 2013
1 570 kr
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Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.
Message of Quantum Science
Attempts Towards a Synthesis
AvJurg Frohlich,Philippe Blanchard
E-bok
PDF, Engelska, 2015
710 kr
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This collection of essays is above all intended to pay tribute to the fact that while QM today is a refined and incredibly successful instrument, many issues concerning the internal consistency and the interpretation of this theory are still not nearly as well understood as they ought to be.
In addition, whenever possible these essays take the opportunity to link foundational issues to the many exciting developments that are often linked to major experimental and technological breakthroughs in exploiting the electromagnetic field and in particular, its quantum properties and its interactions with matter, as well as to advances in solid state physics (such as new quantum Hall liquids, topological insulators and graphene). The present volume also focuses on various areas, including new interference experiments with very large molecules passing through double-slits, which test the validity of the Kochen-Specker theorem; new tests of the violation of Bell’s inequalities and the consequences of entanglement; new non-demolition measurements and tests of “wave-function collapse” to name but a few.
These experimental developments have raised many challenging questions for theorists, leading to a new surge of interest in the foundations of QM, which have puzzled physicists ever since this theory was pioneered almost ninety years ago.
The outcome of a seminar program of the same name on foundational issues in quantum physics (QM), organized by the editors of this book and addressing newcomers to the field and more seasoned specialists alike, this volume provides a pedagogically inspired snapshot view of many of the unresolved issues in the field of foundational QM.
Del 15 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS
AvJürg Fröhlich,Jurg Frohlich
Inbunden, Engelska, 1992
2 325 kr
Skickas inom 5-8 vardagar
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Del 15 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS
AvJürg Fröhlich,Jurg Frohlich
Häftad, Engelska, 1992
1 309 kr
Skickas inom 5-8 vardagar
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Abschied Von Determinismus Und Realismus in Der Physik Des 20. Jahrhunderts
AvJurg Frohlich
Häftad, Tyska
219 kr
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Jurg Frohlich – författare

Quantum Theory from Small to Large Scales

Quantum Theory from Small to Large Scales

New Symmetry Principles in Quantum Field Theory

Quantum Groups, Quantum Categories and Quantum Field Theory

Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory

Message of Quantum Science

NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS

NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS

Abschied Von Determinismus Und Realismus in Der Physik Des 20. Jahrhunderts

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