A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
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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.
Preface; Part I. Quantum Mechanics: 1. On the low density of Boson models: Langevin equation; 2. Schrödinger 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. Schrödinger operators at threshold; 7. Spectral analysis and scattering theory for Schrödinger operators with an interaction supported by a regular curve; 8. Lattice models of solids; 9. Schrödinger operators on unusual manifolds; 10. High energy resolvent estimates for Schrödinger 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 Høegh-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. Høegh-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.
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