Cel
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.
Temat(-y)
Zaproszenie do składania wniosków
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75251 Paris
Francja