Objective We propose two complementary approaches in understanding coupled electron-phonon systems. The first one is based on extensive numerical studies of the full time evolution of one or two electrons coupled with a lattice. Our previous results clarify the role of coupling, adiabatic parameter, initial electronic configuration, discreteness, and disorder in the problem of polaron formation and demonstrate the existence of novel, long- lived metastable states. We will extend these studies to include bipolaron formation, higher dimensions, application of external field, quantum and thermal fluctuations. The second approach is based on rigorous mathematical techniques and numerical methods for the many - electron problem in the adiabatic Holstein model with or without magnetic field. They will be applied in the study of bipolaronic - polaronic ground state distributions in any dimension and will be extended to include temperature, orbitar response, anisotropy, and other physical models. The results are expected to have far reaching consequences in the field of transport properties of solids and elucidate a lot of aspects of the mechanism of high critical temperature superconductivity. Fields of science natural sciencesmathematicsapplied mathematicsnumerical analysisnatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0302 - Post-doctoral research training grants TP10 - Condensed Matter - Electronic, Magnetic & Superconduct.Properties Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator COMMISSARIAT A L'ENERGIE ATOMIQUE EU contribution No data Address Centre d'Etudes de Saclay 91191 GIF SUR YVETTE France See on map Total cost No data Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available Greece EU contribution No data Address See on map Total cost No data
