Objective The aims of this project are to prove the existence of a negative point component of the spectrum for large random or almost periodic potentials (localized surface states) and the existence of an absolutely continuous positive component for small almost periodic potentials; to study the statistics of eigenvalues for certain classes; to find the connection, the deformation parameters and parameters of the bootstrap S-matrices; to investigate the spaces of states and fields, and to find correlation functions of deformed conformal theories (in particular their interrelations with corresponding objects of undeformed models); to study models of many-body physics by graded C*-algebra techniques. In addition the links between deformed conformal theories and well-known Langrangian integrable systems should be developed; and new methods of construction of nondecaying solutions using certain extensions and modifications of the inverse spectral transform method, the generalized Darboux transform and operator algebra formalism and their finite difference analogues will be developed. Finally the project will study the chaotic behaviour for the nonlinear Schrödinger equation with nonlocal nonlinearity modeling the transmission of an electron beam through the half-transparent layer; and construct a detailed picture of the origin and of the nature of the chaotic behaviour of the solution. Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Topic(s) 21 - Mathematics Call for proposal Data not available Funding Scheme Data not available Coordinator Centre National de la Recherche Scientifique EU contribution No data Address Place Jussieu 2 75251 Paris France See on map Total cost No data Participants (8) Sort alphabetically Sort by EU Contribution Expand all Collapse all National Academy of Sciences of Ukraine Ukraine EU contribution No data Address 310164 Kharkov See on map Total cost No data Ruhr-Universität Bochum Germany EU contribution No data Address 44801 Bochum See on map Total cost No data Russian Academy of Sciences Russia EU contribution No data Address 142432 Chernogolovka, Moscow Region See on map Total cost No data Russian Academy of Sciences Russia EU contribution No data Address 191011 St. Petersburg See on map Total cost No data Universidade de Madeira Portugal EU contribution No data Address 9000 Funchal See on map Total cost No data University of Wales, Swansea United Kingdom EU contribution No data Address Singleton Park SA2 8PP Swansea See on map Total cost No data Università degli Studi di Roma La Sapienza Italy EU contribution No data Address Piazzale Aldo Moro 2/5 00185 Roma See on map Total cost No data Universität Bielefeld Germany EU contribution No data Address 33615 Bielefeld See on map Total cost No data
