Ideas and Methods in Quantum and Statistical Physics: Volume 2
In Memory of Raphael Høegh-Krohn

A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.

Sergio Albeverio (Edited by), Helge Holden (Edited by), Jens Erik Fenstad (Edited by), Tom Lindstrom (Edited by)

9780521419307, Cambridge University Press

Hardback, published 26 June 1992

558 pages, 1 b/w illus.
22.9 x 3 x 15.2 cm, 0.91 kg

These volumes contain a collection of essays by many of the closest co-workers of Raphael Høegh-Krohn, 1938–88, one of the outstanding mathematical physicists of our age. The contributions vary in style, purpose and content - some are surveys where leading experts sum up and clarify a subject area, others are new and adventurous expeditions into unknown territory. The topics cover most aspects of modern mathematical physics with special emphasis on methods from operator theory and stochastic analysis. Many of the papers are based on talks given at a symposium in honour of Høegh-Krohn at the University of Oslo; however the final volumes are far more than proceedings and great care has been taken to attract contributions from the leading researchers.

Preface
Part I. Quantum Mechanics: 1. On the low density of Boson models: Langevin equation L. Accardi and L. Y. Gang
2. Schrödinger operators with potentials supported by null sets S. Albeverio, J. E. Fenstad, R. Høegh-Krohn, W. Karwowski and T. Lindstrom
3. Landau Hamiltonians on symmetric spaces J. E. Avron and A. Pnueli
4. Renormalization group analysis and quasicrystals J. Bellissard
5. The measurement problem in the stochastic formulation of quantum mechanics Ph. Blanchard, M. Cini and M. Serva
6. Schrödinger operators at threshold D. Bollé
7. Spectral analysis and scattering theory for Schrödinger operators with an interaction supported by a regular curve J. F. Brasche and A. Teta
8. Lattice models of solids V. V. Evstratov and B. S. Pavlov
9. Schrödinger operators on unusual manifolds P. Exner and P. Šeba
10. High energy resolvent estimates for Schrödinger operators A. Jensen
11. Point interactions as solvable models W. Kirsch
12. Stochastic model of quantum mechanics V. P. Maslov
Part II. Quantum Field Theory: 13. Maximality of infinite dimensional Dirichlet forms and Høegh-Krohn's model of quantum fields S. Albeverio and S. Kusuoka
14. Global Markov property in quantum field theory and statistical mechanics: a review on results and problems S. Albeverio and B. Zegarlinski
15. Hypercontractivity: a bibliographic review E. B. Davies, L. B. Gross and B. Simon
16. Progress and problems in algebraic quantum field theory S. Doplicher
17. Høegh-Krohn's model of quantum fields and the absolute continuity of measures S. Kusuoka
18. Baryon states in lattice QCD R. A. Minlos and E. A. Zhinzhina
19. The energy of a Weyl soliton R. F. Streater
Part III. Statistical Physics: 20. Morphology and classification of galaxies: a stochastic model S. Albeverio, Ph. Blanchard, D. Gandolfo, R. Høegh-Krohn and M. Mebkhout
21. Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction R. L. Dobrushin and S. B. Shlosman
22. Verification of the global Markov property for strongly coupled trigonometric interactions R. Gielerak
23. Decomposition of Ising models and the Mayer expansion C. M. Newman and G. A. Baker, Jr
24. Towards time-dynamics for bosonic systems in quantum statistical mechanics A. G. Shuhov, Yu. M. Suhov and A. V. Teslenko
25. Towards time-dynamics for bosonic systems in quantum statistical mechanics, 2 A. G. Shuhov and Yu. M. Suhov.

Subject Areas: Applied mathematics [PBW]