Workshop

Classical and Quantum Ergodicity

28 May - 1 June, 2000

Blaubeuren, Germany

Organizers: Arnd Bäcker, Roman Schubert, Frank Steiner

Topics

The aim of the workshop is to bring together specialists from various fields in physics and mathematics working on the relation between the properties of eigenfunctions of quantum systems and the behaviour of the corresponding classical systems. Topics to be covered include: rate of quantum ergodicity and decay of classical correlations, scars vs. unique quantum ergodicity, reliable quantitative tests for scarring, distribution of matrix elements in connection with decay of classical correlation functions, inverse quantum ergodicity, semiclassical eigenfunction hypothesis, quantum limits, systems with mixed phase space, quasi-mode constructions, semiclassical theory, trace formulae, arithmetic quantum chaos, random matrix theory.

List of speakers

Arnd Bäcker, Quantum ergodicity and localized eigenfunctions
Eugene Bogomolny, Periodic orbits contribution to 2-point correlation form factor for pseudo-integrable systems
Oriol Bohigas, Energy of non-interacting fermions: random-matrix and semiclassical estimates
Jens Bolte, Quantum chaos with spin 1/2
Yves Colin de Verdière, Singular Bohr-Sommerfeld rules and semi-classical bifurcations
Stephan De Bièvre, Time scales logarithmic in in quantized hyperbolic maps
Mirko Degli Esposti, Distribution of Legendre symbols: from basic semiclassical estimates to a simple model of deterministic spin systems
Manfred Denker, Frobenius-Perron Operators in Ergodic Theory
David Farmer, Eigenvalues of the Laplacian for Hecke congruence groups
Martin C. Gutzwiller, A Classical Look at Quantum Field Theory
Dennis Hejhal, Closed horocycles and Beurling/Selberg functions
Lev Kaplan, Fine-Scale Quantum Ergodicity: Dynamical Effects vs. RMT
Andreas Knauf, The n-Centre Problem for Large Energies
Par Kurlberg, Quantum Ergodicity for torus maps and an analogue of Artin's conjecture for primitive roots
Jens Marklof, Pseudo-random spectra
Dieter Mayer, Transfer operators and period functions for subgroups of PSL(2,Z)
Stephane Nonnenmacher, Motion of Husimi zeros
Thierry Paul, t.b.a.
Didier Robert, Semiclassical results for the magnetic response of an electron gas
Zeev Rudnick, Quantum Ergodicity for torus maps
Roman Schubert, Aproximate projection operators and semiclassical localization in phase space
Uzy Smilansky, Chaotic scattering on graphs
Hans-Jürgen Stöckmann, Microwave studies of open billiards
Stefan Teufel, The semiclassical limit for the Schrödinger equation with a short scale periodic potential
Steve Zelditch, Zeros and critical points of random wave functions
Maciej Zworski, Resonance Expansions of Scattered Waves

Participants

Ralf Aurich, Ulm	Andreas Knauf, Erlangen
Eugene Bogomolny, Orsay	Sally Koutsoliotas, Lewisburg
Oriol Bohigas, Orsay	Volker Krusche, Ulm
Jens Bolte, Ulm	Par Kurlberg, Georgia
Cheng Hung Chang, Clausthal	Jens Marklof, Bristol
Yves Colin de Verdière, Grenoble	Dieter Mayer, Clausthal
Stephan De Bièvre, Lille	Stephane Nonnenmacher, Köln
Mirko Degli Esposti, Bologna	Thierry Paul, Paris
Manfred Denker, Göttingen	Volker Reitmann, Dresden
David Farmer, Lewisburg	Didier Robert, Nantes
Silke Fürstberger, Ulm	Zeev Rudnick, Tel-Aviv
Rainer Glaser, Ulm	Martin Schmoll, Berlin
Boris Gutkin, Rehovot	Uzy Smilansky, Rehovot
Martin C. Gutzwiller, New York	Hans-Jürgen Stöckmann, Marburg
Grischa Haag, Ulm	Stefan Teufel, München
Dennis Hejhal, Uppsala and Minnesota	Holger Then, Ulm
Lev Kaplan, Seattle	Hans-Dieter Vollmer, Ulm
Gerhard Keller, Erlangen	Steve Zelditch, Baltimore
Stefan Keppeler, Ulm	Maciej Zworski, Berkeley

Location

The workshop will take place at the Heinrich-Fabri-Institut in Blaubeuren (near Ulm).

Heinrich-Fabri-Institut
Auf dem Rucken 35
D-89143 Blaubeuren
Germany

Tel: ++49 (0) 7344/4529
Fax: ++49 (0) 7344/21810

How to get there ...
- ... by plane
  The nearest airports are Stuttgart, München, Augsburg, and Frankfurt. From each of them Blaubeuren is easily reached (via Ulm) by train.
- ... by train
  For most people the fastest way to reach Blaubeuren is via Ulm, which is located at the ICE track München-Stuttgart. To find out about train connections you may use Deutsche Bahn (Hafas) (choose Blaubeuren Bahnhof, or the pre set form) (see also Homepage Deutsche Bahn)
- ... from the train station Blaubeuren (Blaubeuren Bahnhof)
  The simplest is to use a taxi from the station to the Heinrich-Fabri-Institut.
  If you prefer walking this is about 15 min. from the station.
- Maps
  Map of Blaubeuren (250K) with station and Heinrich-Fabri-Institut marked by circles
  Schematic map of the location of Blaubeuren
Blaubeuren and surroundings
Official homepage of Blaubeuren (in German)
Blaubeuren from the air
Blautopf (in German) which is the entrance to a long system of caves (in German), mostly below water level
Schwäbische Alb (Swabian mountains, nearer surroundings)
Ulm (in German)

Registration

To register either use the WWW-registration form, or send the completed registration form to ergo-workshop@physik.uni-ulm.de or by mail to

Universität Ulm
Abteilung Theoretische Physik
- Ergo-Workshop -
Albert-Einstein-Allee 11
D-89069 Ulm
Germany

Deadline for registration: 31 March 2000

Schedule

Arrival: Sunday, 28 May 2000, dinner: 18:30

Departure: Thursday, 1 June 2000, 13:30 (after lunch)

Preliminary schedule of talks

time	Monday	Tuesday	Wednesday	Thursday
7.30-9.00	breakfast	breakfast	breakfast	breakfast
9.00-9.45	Gutzwiller	Mayer	Robert	Stöckmann
9.50-10.35	Smilansky	Degli Esposti	Knauf	Denker
10.40-11.05	coffee break	coffee break	coffee break	coffee break
11.05-11.35	Bäcker	Rudnick	Nonnenmacher	Farmer
11.40-12.25	Bohigas	Kurlberg	Paul	Colin de Verdière
12.30	lunch	lunch	lunch	lunch
14.00-14.45	Bogomolny	Hejhal	Zelditch
14.50-15.35	Kaplan	Bolte	Marklof
15.40-16.00	coffee break	coffee break	coffee break
16.00-16.45	Zworski	poster session	De Bièvre
16.50-17.20	Teufel		Schubert

18.30	dinner	dinner	dinner

Organization

Arnd Bäcker, Roman Schubert, Frank Steiner
Quantum Chaos Group
Abteilung Theoretische Physik
Universität Ulm
Albert-Einstein-Allee 11
D-89069 Ulm
Germany

Correspondence

Any correspondence should be sent to ergo-workshop@physik.uni-ulm.de

Last modified: Sun May 28 15:41:11 METDST 2000

Roman Schubert (ergo-workshop@physik.uni-ulm.de)