Quantum and non-commutative analysis : past, present and future perspectives

edited by Huzihiro Araki ... [et al.]

This volume contains the proceedings of two international colloquia held in Japan in 1992. The various contributions by pre-eminent scientists cover the fields of quantum field theory, statistical and solid state physics, quantum groups and subfactors and index theory, and operator algebras and related topics. Together they present an authoritative overview of the latest developments by pioneers in these fields. Most of the contributions are self-contained. For graduate students and researchers in mathematics and mathematical physics.

「Nielsen BookData」より


  • Foreword and Preface
  • H. Araki, K.R. Ito, A. Kishimoto, I. Ojima. Part 1: Quantum Field Theory. 1. Local Quantum Physics and Beyond
  • R. Haag. 2. A Non-Commuting Realization of Minkowski Space
  • H.J. Borchers. 3. Goldstone's Theorem Revisited
  • J.E. Roberts. 4. Global Observables in Local Quantum Physics
  • K. Fredenhagen. 5. State of the Art of Alain Connes' Version of the Standard Model
  • D. Kastler. 6. Supersymmetric Extension of Quantum Scalar Field Theories
  • A. Arai. Part 2: Statistical and Solid State Physics. 7. Optimal Two-Uniform Convexity and Fermion Hypercontractivity
  • E. Lieb, E. Carlen. 8. Renormalization Group and Nonlinear Media
  • A. Kupiainen, J. Bricmont. 9. Random Wall Representations and Mayer Expansion
  • K.R. Ito. 10. The Free Energy Theorem
  • R.F. Streater. 11. Dynamical Entropy of Quasi-Local Algebras
  • Y.M. Park. 12. The Weak Coupling Limit for a Fermi Gas in a Random Potential
  • L.J. Landau. 13. The Gap Labelling Theorem: the Case of Automatic Sequences
  • J. Bellisard. 14. Operator Algebra Approach to Soluble Models of Quantum Spin Lattice Systems
  • H. Araki. 15. On Conservation Laws of XY Model
  • T. Matsui. Part 3: Quantum Groups. 16. Reflection Equation Algebras and Quantum Groups
  • P.P. Kulish. 17. Quantum Groups, Star Products and Cyclic Cohomology
  • M. Flato, D. Sternheimer. 18. Quantum Group Symmetry in Conformal Field Theory
  • K. Gawedzki. 19. Spectrum of an Operator appears in the Quantum SU(1,1) Group
  • T. Kakehi, K. Ueno, T. Masuda. 20. Takesaki Duality for the Crossed Product by Quantum Groups
  • Y. Nakagami. Part 4: Subfactors and Index Theory. 21. A New Role of Graph Projections in Index Theory
  • T. Natsume. 22. Endomorphisms and Automorphisms for Factor Inclusions
  • M. Choda. 23. Automorphisms in the Irreducible Decomposition of Sectors
  • H. Kosaki. 24. Fusion Rules and Classification of Subfactors
  • M. Izumi. 25. Vector Bundles and Bimodules
  • S. Yamagami. 26. Lattice Structure of Intermediate Subfactors
  • Y. Watatani. 27. Minimal Index Unimodular Sectors
  • R. Longo. 28. Subfactors and Conformal Field Theory
  • J. Evans, Y. Kawahigashi. Part 5: Operator Algebras and Related Topics. 29. A Classification of Certain Simple C*-Algebra
  • G. Elliott. 30. K-Theoretic Classifications for Certain Real Rank Zero C* Algebras
  • H. Su. 31. Inductive Limits of Interval Algebras
  • the Simple Case
  • K. Thomsen. 32. Operator Algebras and Abstract Duals: Progress and Problems
  • S. Doplicher. 33. Regular Actions of Compact Groups on Cuntz Algebras
  • C. Pinzari. 34. Almost Shift Invariant Projections in Infinite Tensor Products
  • O. Bratteli, D. Evans, A. Kishimoto. 35. Strongly Elliptic and Subelliptic Operators on Lie Groups
  • D.W. Robinson.

「Nielsen BookData」より


書名 Quantum and non-commutative analysis : past, present and future perspectives
著作者等 荒木 不二洋
Ito Keiichi R. (Department of Mathematics and Information College of Liberal Arts Kyoto University Japan)
Kishimoto Akitaka (Department of Mathematics Hokkaido University Sapporo Japan)
Ojima Izumi (Research Institute for Mathematical Sciences Kyoto University Japan)
Araki H.
シリーズ名 Mathematical physics studies
出版元 Kluwer Academic
刊行年月 c1993
ページ数 xii, 464 p.
大きさ 25 cm
ISBN 079232532X
NCID BA21607111
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言語 英語
出版国 オランダ