Proceedings of Mathematical Physics and Quantum Field Theory, a symposium celebrating the seventieth birthday of Eyvind H. Wichmann.

ForewordIn June 1999, sixty physicists and mathematicians from around the world gathered for a three-day symposium in honor of the seventieth birthday of Eyvind H. Wichmann, Professor Emeritus of Physics at the University of California, Berkeley. The international symposium, held 11-13 June 1999 at the Berkeley Physics Department, centered around mathematical physics and related topics. A total of 36 talks were presented by ten of Professor Wichmann's former students and 26 other distinguished participants. (Whether the symposium was held in the correct year is another matter.)

The conference participants enjoyed the ever-beautiful Berkeley campus and environs. A banquet was held in connection with the symposium, highlighted by an after-dinner speech by Professor Joseph Sucher of the University of Maryland, College Park. (Do not miss the text of the speech, found in these conference proceedings, which provides a wonderful glimpse into the happenings at Columbia University when Sucher and Wichmann were students.) An outing to Muir Woods followed the conference on Saturday. Photographs of the conference can be found at www.math.unt.edu/~warchall/EHWsymposium/photos.htm, although for some reason most of the photos of the Muir Woods outing participants had a distinct greenish tinge and are not published.

Eyvind Wichmann has directly supervised the Ph.D. theses of twenty mathematical physicists:

- Joseph Bisognano
- James Crichton
- Douglas Davidson
- James Daniel Finley
- Miklos Gyulassy
- Ray Hagstrom
- Andrew Hasenfeld
- Ira Herbst
- Mark Hillery
- Peter Hislop
- Lawrence Landau
- Sergy Lebedeff
- Peter Mohr
- Leonard Mlodinov
- Eucharius Leo Slaggie
- Launey Thomas
- Henry Warchall
- David Noel Williams
- Jack Wong
- Ching-Hung Woo

The scientific talks presented at the symposium were:

**William Arveson**, Mathematics Dept., University of California, Berkeley*Interactions in Noncommutative Dynamics***Peter Basarab-Horwath**, Mathematics Dept., Linköping University*Symmetries and Exact Solutions in Mathematical Physics***Jacques Bros**, Service de Physique Théorique, Centre d'Études Nucléaires de Saclay*Quantum Field Theories on deSitter and Anti-deSitter Curved Space-Times***Dongho Chae**, Seoul National University and University of Minnesota*Some Existence and Converegence Results on the (2+1) Dimensional Chern-Simons Gauge Theories***John Challifour**, Mathematics Dept., University of Indiana*Indefinite Metric Quantization of Chern-Simons QED***Paul Chernoff**, Mathematics Dept., University of California, Berkeley*Irreducible Representations of Infinite Dimensional Transformation Groups and Lie Algebras***Roberto Conti**, Mathematics Dept., Universita degli Studi di Roma*About Subsystems***James Crichton**, Physics Dept., Seattle Pacific University*Is there a measurable distinction between the spin and the orbital angular momenta of electromagnetic radiation?***Claudio D'Antoni**, Mathematics Dept., Universita degli Studi di Roma*Hardy States for C* Dynamical Systems***Alex J. Dragt**, Physics Dept., University of Maryland*Lie Algebra, Light Optics, and Particle Accelerators***Paul Federbush**, Mathematics Dept., University of Michigan*Some Speculations on Quantum Gravity***Daniel Finley**, Physics Dept., University of New Mexico*Twisting Gravitational Waves and Eigenvector Fields for SL(2) on an Infinite Jet***Stephen Fulling**, Mathematics Dept., Texas A&M University*Spectral Riesz-Cesàro Means***Vladimir Georgescu**, CNRS & Mathematics Dept., University of Cergy-Pontoise*C*-Algebras of Energy Observables and Spectral Theory***Tepper Gill**, Electrical Engineering Dept., Howard University*Relativistic Theory of Particles and Fields***Rudolph Haag**, Schliersee-Neuhaus*Remarks on Gauss' Law in Local Quantum Physics***Mark Hillery**, Physics Dept., CUNY Hunter College*Quantum Copying***Peter Hislop**, Mathematics Dept., University of Kentucky*Exponential decay of eigenfunctions***Atsushi Inoue**, Mathematics Dept., Tokyo Institute of Technology*A Partial Solution for Feynman's Problem: A New Derivation of the Weyl Equation***Bernard Kay**, University of York, UK*What is the Entropy of a Closed System and How Does Its Wave-Function Decohere?*

An Answer Based on Quantum Gravity.**Lawrence Landau**, Mathematics Dept., King's College, London*Best Bounds for Bessel Functions***Michel Lapidus**, Mathematics Dept., University of California, Riverside, and MSRI, Berkeley*The Feynman Path Integral: A Brief Overview***Rick Lavine**, Mathematics Dept., University of Rochester*Time Measurements in Quantum Mechanics***Roberto Longo**, Mathematics Dept., Universita degli Studi di Roma*Black Hole Entropy and an Index Formula***Peter Mohr**, Atomic Physics Division, NIST*QED and the Fundamental Constants***Bruno Nachtergaele**, Mathematics Dept., University of California, Davis*Quantum Interfaces as Examples of Ground State Selection***Gert Roepstorff**, Physics Dept., RWTH-Aachen, Germany*Superconnections: Another Interpretation of the Standard Model***Israel Michael Sigal**, Mathematics Dept., University of Toronto*Mathematical Theory of Radiation***Charles Sommerfield**, Physics Dept., Yale University*Some Mathematical and Physical Remarks Concerning the Aharonov- Bohm Effect***Stephen Bruce Sontz**, Dept. de Matematicas, UAM-Iztapalapa, Mexico*On Two Reverse Inequalities in the Segal-Bargmann Space***Joseph Sucher**, Physics Dept., University of Maryland*Long-Range Forces Between Elementary Systems: Newton, Casimir, and Beyond***Dan-Virgil Voiculescu**, Mathematics Dept., University of California, Berkeley*The Analogue of Entropy in Free Probability Theory***Henry Warchall**, Mathematics Dept., University of North Texas*Localization of Dependence for Solutions of Hyperbolic Differential Equations***Arthur Wightman**, Physics Dept., Princeton University*The Spin-Statistics Connection: Some Pedagogical Remarks in Response To Neuenschwander's Question***Ching-Hung Woo**, Physics Dept., University of Maryland*Quantum Description of a World of Increasing Entropy***Laszlo Zsido**, Mathematics Dept., Universita degli Studi di Roma*On the Meaning of the Modular Theory of Tomita-Takesaki*

We were saddened to learn that Professor James Crichton passed away in Seattle on 18 December 1999. He is fondly remembered.

Professors Peter Hislop and Henry Warchall served as conference organizers
while Professor Eugene Commins coordinated local arrangements. We
gratefully acknowledge the facilities and refreshments provided by the
University of California, Berkeley, Physics Department. We thank
all the authors who took the extra time and effort to provide their talks in
a form suitable for electronic publication.

Henry Warchall

Department of Mathematics

University of North Texas

Back to the Table of Contents for the Wichmann Symposium.

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