MARCH 11-14, 2003

Scientific Committee:
S. Albeverio (Universitaet Bonn), Yu. Berezanski, (National Academy of Science, Kiev), J. Bruening (Humboldt Universitaet, Berlin), L. Dabrowski (SISSA, Trieste) S. Dobrokhotov (Institute for Problems in Mechanics, Moscow) V. Geyler (Mordovian State University, Saransk), S. Graffi (Universita` di Bologna), M. Karasev (Moscow Institute of Electronics and Mathematics, Moscow).

Organizing Committee:
L. Dabrowski, G. Dell'Antonio, B. Dubrovin.

The International School for Advanced Studies (SISSA), in collaboration with the Abdus Salam International Centre for Theoretical Physics, organizes a workshop at Trieste, from March 11 to 14, 2003, on "Spectral problems for Schroedinger-type operators" (noncommutative analysis, coherent transform, averaging, semiclassical approximation, and complex geometry).
The event will be a central part of a related Scientific Meeting of the Research Project INTAS 00-257 of European Community (SISSA, Trieste, March 10 to 15, 2003).

Preliminary program:

Tue 11/03

15:00-15:45 Berezanski Yuri (Kiev)
           "Generalized selfadjoint operators and their singular perturbations"
15:45-16:30 Exner Pavel (Prague)
           "Schroedinger operators with a strongly attractive interaction supported by a manifold"

17:00-17:45 Pankrachkine Konstantin (Berlin)
           "Spectral bands corresponding to separatices in the Harper-like operators"
17:45-18:15 Correggi Michele (Trieste)
           "Boundness from Below for Hamiltonians of Trapped Interacting Particles"

Wed 12/03

 9:30-10:15 Dobrokhotov Sergey Yu. (Moscow)
           "The Global Semiclassical Description of the 2-D Magnetic Schroedinger Operator with Periodic Potential"
10:15-11:00 Demidov Valerij (Saransk)
           "Hofstadter butterfly for point-perturbed 3D Landau operator"

11:30-12:15 Dubrovin Boris (Trieste)
           "Toda lattice from the point of view of integrable PDEs"
12:15-13:00 Posilicano Andrea (Como)
            "Rigorous theory of spectra and radiation for an exactly soluble model in quantum electrodynamics"

15:00-15:45 Albeverio Sergio (Bonn)
           "New developments in oscillatory integrals"
15:45-16:15 Panati Gianluca (TS/Munchen)
           "Effective dynamics for Bloch electrons: Peierls substitution and beyond"

17:00-17:45 Adami Riccardo (Paris)
           "Toward a rigorous deduction for the Gross-Pitaevskii equation?"
17:45-18:15 Semenov Evgeny (Moscow)
           "On Splitting Formulae for High and Low Levels in Quantum Double-well and Periodic Problems"

Thu 13/03

 9:30-10:15 Geyler Vladimir (Saransk)
           "Ground state of the Pauli operator with an infinite array of the Aharonov--Bohm vortices"
10:15-11:00 Stovicek Pavel (Prague)
           "Some remarks about the Aharonov-Bohm Hamiltonian"

11:30-12:15 Degli Esposti Mirko (Bologna)
           "Off-diagonal  contributions to the form factor: a simple case"
12:15-13:00 Korotyaev, Evgeni (Berlin)
           "Inverse problem for Schroedinger operators with periodic distributions, characterization"

15:00-15:45 Graffi Sandro (Bologna)
           "On the Ehrenfest time, etc."
15:45-16:30 Pizzo Alessandro (Zurich)
           "Spectral analysis of one particle states in Nelson's massless model"

16:45-17:15 Masuda Tetsuya (Tsukuba/TS)
            "Spectral analysis of q-difference operators arising from quantum SU(1,1) group"
17:15-17:45 Poteryakhin Mikhail (Moscow)
           "On Action-angle Variables for the Problem of Power Splitting of Eigenvalues
            of Multidimensional Quantum Anharmonic Oscillator in Resonance Case"
17:45-18:15 Finco Domenico (Roma)
           "A model of zero-range interactions with a crystal"

Fri 14/03

 9:30-10:15 Karasev Mikhail (Moscow)
           "Non-Lie commutation relations, quantum Kaehler metrics and Zeeman spectral clusters"
10:15-11:00 Koshmanenko Volodymyr (Kiev)
           "Self-similar measures, invariant states of dynamical systems"

11:30-12:15 Dabrowski Ludwik (Trieste)
           "Dirac operator on the quantum Podles sphere"
12:15-13:00 Torbin Grigoriy (Kiev)
           "Metric-topological classification of the spectra of measures and infinite conflict interactions of measures"

(*=provisional title)

The International School for Advanced Studies, together with the adjacent International Centre for Theoretical Physics, is located within the Miramare Castle Natural Park, in a pinewood on the seaside at about 8 km from downtown Trieste.

Participants will be housed in the Guest Houses of the International Centre for Theoretical Physics at the (convenient) cost of a single room (with shower) range 26 to 36 Euro/night. For younger participants there is a possibility to share the room (at a half price). Also a (more expensive) Hotel accommodation is available not far from the campus. There are two mensas on the campus; the full-meal price (lunch or dinner) ranges between ca. 10-15 Euro. There are also other restaurants in the neighborhood.

Travel information:
For information about travel and the campus map please link to the SISSA or ICTP web pages.

The travel and accommodation expenses of the Project team members should be covered from their appropriate INTAS funds (according to the project rules), or others. If needed, for visas please contact the closest Italian Consulate.
Intended participants should fill in the registration form click to download , and send it BEFORE January 31, 2003, possibly by e-mail. The acceptance confirmation will be send within a few days.
A more detailed scientific programme will be circulated in February.

E-Mail address:

Postal address: L. Dabrowski, SISSA, via Beirut 2-4, I-34014 Trieste, Italy. Fax: ++390403787528