WORKSHOP ON
SPECTRAL PROBLEMS
FOR SCHROEDINGER-TYPE OPERATORS
INTERNATIONAL SCHOOL FOR ADVANCED STUDIES (SISSA)
TRIESTE, ITALY
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:
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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)
Location:
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.
Accommodation:
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 http://www.sissa.it or ICTP http://www.ictp.trieste.it 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: intas03@sissa.it
Postal address: L. Dabrowski, SISSA, via Beirut 2-4, I-34014 Trieste,
Italy. Fax: ++390403787528
