BOGOLUBOV LECTURES

31 October 2003
Program
10.30Opening
10.40Granting diplomas of the Honorary Doctor
of the Bogolyubov Institute for Theoretical Physics
to Professor Roman JACKIW and Professor Walter GREINER
11.00Roman JACKIW
MIT, Laboratory of Nuclear Science and Center for Theoretical Physics
Some Physical Processes on Spaces with Non-Commuting Coordinates
12.00Walter GREINER
Institut für Theoretische Physik, Johann Wolfgang Goethe Universität Frankfurt am Main
On the Extension of the Periodic System: Superheavy Elements and Clusters of Strange Matter and Antimatter
13.00Break
14.00Vadim M. LOKTEV
Bogolyubov Institute for Theoretical Physics
Phase Fluctuations and Pseudogap Properties
15.00Yurii A. SITENKO
Bogolyubov Institute for Theoretical Physics
Fractional Quantum Numbers in Particle and Condensed Matter Physics

Abstracts

Some Physical Processes on Spaces with Non-Commuting Coordinates
Roman JACKIW

Physics on a space with non-commuting coordinates is popular these days, but the ideas have an interesting older history, which will be recalled. Using these ideas, one can deform Maxwell theory and examine the physical consequences. Also a fascinating relation to fluid mechanics will be described.
On the Extension of the Periodic System:
Superheavy Elements and Clusters of Strange Matter and Antimatter
Walter GREINER

After a brief review of the standard extension of the periodic system into the islands of superheavy elements and out to the proton and neutron drip lines, we shall discuss its continuation into the sectors of antimatter and strangeness. A tremendously rich scenario of new nuclear structure emerges, with new magic numbers in the strangeness domain and new forms of nuclear clusters combined of p, n, Λ, Σ, Ξ, etc. The production mechanisms for these objects and for antinuclei rest in high energetic heavy-ion collisions. Various possibilities are discussed, some of them quantitatively.
Phase Fluctuations and Pseudogap Properties
Vadim M. LOKTEV

The presentation reviews the current status of precursor superconducting phase fluctuations as a possible mechanism for pseudogap formation in high-Te superconductors. In particular, it is stressed that the approach used relies on 2D nature of the superconductivity. The differences between simple Bose-BCS crossover theories and finite temperature extension with Berezinski-Kosterlitz-Thouless transition involved are discussed. The phase diagram of the system in variables temperature-carrier density is obtained and role of quantum phase fluctuations is analyzed.
Fractional Quantum Numbers in Particle and Condensed Matter Physics
Yurii A. SITENKO

Topological defects or texture solitons appear as a consequence of spontaneous symmetry breaking in physical systems of various space dimensions. If a Dirac fermion field is quantized in the background of a topological defect, then, generally, this gives rise to states with fractional values of quantum numbers. Charge fractionalization in one dimensional systems resolves puzzle of the spin-charge anomaly in molecular polymer chains of the polyacetylene type. We review cases of charge fractionalization in the background of a magnetic monopole, as well as of a Skyrmeon and a chiral bag. In addition to charge, other quantum numbers fractionalize also, and appropriate examples for planar systems in the magnetic vortex background are considered.