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

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

• ISBN13: 9780521419307
• ISBN10: 0521419301
• Format: Hardcover
• Copyright: 1992-06-26
• Publisher: Cambridge University Press

Summary

These volumes contain a collection of essays by many of the closest co-workers of Raphael Hiegh-Krohn, 1938-1988, 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 Hiegh-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.

Table of Contents

Preface

Part I. Quantum Mechanics: 1. On the low density of Boson models: Langevin equation

2. Schrö

dinger operators with potentials supported by null sets

3. Landau Hamiltonians on symmetric spaces

4. Renormalization group analysis and quasicrystals

5. The measurement problem in the stochastic formulation of quantum mechanics

6. Schrö

dinger operators at threshold

7. Spectral analysis and scattering theory for Schrö

dinger operators with an interaction supported by a regular curve

8. Lattice models of solids

9. Schrö

dinger operators on unusual manifolds

10. High energy resolvent estimates for Schrö

dinger operators

11. Point interactions as solvable models

12. Stochastic model of quantum mechanics

Part II. Quantum Field Theory: 13. Maximality of infinite dimensional Dirichlet forms and Hø

egh-Krohn's model of quantum fields

14. Global Markov property in quantum field theory and statistical mechanics: a review on results and problems

15. Hypercontractivity: a bibliographic review

16. Progress and problems in algebraic quantum field theory

17. Hø

egh-Krohn's model of quantum fields and the absolute continuity of measures

18. Baryon states in lattice QCD

19. The energy of a Weyl soliton

Part III. Statistical Physics: 20. Morphology and classification of galaxies: a stochastic model

21. Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction

22. Verification of the global Markov property for strongly coupled trigonometric interactions

23. Decomposition of Ising models and the Mayer expansion

24. Towards time-dynamics for bosonic systems in quantum statistical mechanics.