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Local Quantum Physics

Autor Rudolf Haag
en Limba Engleză Paperback – 5 aug 1996
The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto­ gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter­ nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char­ acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor­ malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to­ gether with a few other principles of general nature.
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Specificații

ISBN-13: 9783540610496
ISBN-10: 3540610499
Pagini: 408
Ilustrații: XV, 390 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.62 kg
Ediția:Second Edition 1996
Editura: Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

I. Background.- 1. Quantum Mechanics.- 2. The Principle of Locality in Classical Physics and the Relativity Theories.- 3. Poincaré Invariant Quantum Theory.- 4. Action Principle.- 5. Basic Quantum Field Theory.- II. General Quantum Field Theory.- 1. Mathematical Considerations and General Postulates.- 3. Physical Interpretation in Terms of Particles.- 4. General Collision Theory.- 5. Some Consequences of the Postulates.- III. Algebras of Local Observables and Fields.- 1. Review of the Perspective.- 2. Von Neumann Algebras. C*-Algebras. W*-Algebras.- 3. The Net of Algebras of Local Observables.- 4. The Vacuum Sector.- IV. Charges, Global Gauge Groups and Exchange Symmetry.- 1. Charge Superselection Sectors.- 2. The DHR-Analysis.- 3. The Buchholz-Fredenhagen-Analysis.- 4. Global Gauge Group and Charge Carrying Fields.- 5. Low Dimensional Space-Time and Braid Group Statistics.- V. Thermal States and Modular Automorphisms.- 1. Gibbs Ensembles, Thermodynamic Limit, KMS-Condition.- 2. Modular Automorphisms and Modular Conjugation.- 3. Direct Characterization of Equilibrium States.- 4. Modular Automorphisms of Local Algebras.- 5. Phase Space, Nuclearity, Split Property, Local Equilibrium.- 6. The Universal Type of Local Algebras.- VI. Particles. Completeness of the Particle Picture.- 1. Detectors, Coincidence Arrangements, Cross Sections.- 2. The Particle Content.- 3. The Physical State Space of Quantum Electrodynamics.- VII. Principles and Lessons of Quantum Physics. A Review of Interpretations, Mathematical Formalism and Perspectives.- 1. The Copenhagen Spirit. Criticisms, Elaborations.- 2. The Mathematical Formalism.- 3. The Evolutionary Picture.- VIII. Retrospective and Outlook.- 1. Algebraic Approach vs. Euclidean Quantum Field Theory.- 2. Supersymmetry.- 3. TheChallenge from General Relativity.- Author Index and References.

Recenzii

"Indeed, both the expert in the field and the novice will enjoy Haags insightful exposition... This (superb) book is bound to occupy a place on a par with other classics in the mathematical physics literature." Physics Today "...enjoyable reading to anybody interested in the development of fundamental physical theories." Zentralblatt f. Mathematik

Textul de pe ultima copertă

This textbook gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes the physical concepts, the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, and the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author, one of the most original researchers in this field, takes care both to describe the ideas and to give a critical assessment of future perspectives.
The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory.
"Under his influence the synthesis of relativity, quantum theory and the theory of operator algebras now called algebraic quantum field theory has proven itself to be extremely flexible and powerful. /.../ This book is by no means the summa of the field of algebraic quantum field theory" Stephen J. Summers, Gainesville, FL, Mathematical Reviews, Issue 94d, USA 1994 "Indeed, both the expert in the field and the novice will enjoy Haag's insightful exposition of the basic physics behind the abstract mathematics, and his unique way of making complicated mathematical theorems plausible without getting bogged down in tedious details. /.../ This book is bound to occupy a place on a par with other classics in the mathematical physics literature." Meinhard E. Mayer, University of California, Irvine, Physics Today, May 1993