Title: 
Description of loosely bound and resonant complex quantum systems with the Gamow formalism

Abstract: 
The description of open quantum systems is a challenge  of modern
physics. They demand a rigorous treatment of both the proximity of the
continuum and the inter-particle correlations. Standard models,  such as
configuration interaction models and reaction theory, typically  neglect one or
the other. The use of the Gamow formalism allows to unify both  aspects of
these systems so as to provide a complete framework for their  study. For this,
bound, resonant and scattering states are used directly at the  basis level, so
that continuuum properties are included by construction.  Correlations are
taken into account by configuration mixing, with the so called  Gamow Shell
Model, or by a quasi-particle description, with the newly  considered Gamow
Hartree-Fock Bogolyoubov method. The helium, oxygen and nickel  chains of
nuclear isotopes will be studied as applications. Extension of the  formalism
outside nuclear physics will be briefly considered.