The jellium model of simple metal clusters has enjoyed remarkable empirical success,
leading to many theoretical questions. In this review, we first survey the hierarchy of …

The concept of boson realization (or mapping) of Lie algebras appeared first in nuclear
physics in 1962 as the idea of expanding bilinear forms in fermion creation and annihilation …

The formalism of sum rules is developed and employed to investigate various giant
resonances in nuclei. Particular emphasis is given to the role of surface effects which are …

Characterizations of the response function and of integral properties of the strength function
via a moment expansion are discussed. Sum rule expressions for the moments in the RPA …

Background: The quasiparticle random phase approximation (QRPA), within the framework
of nuclear density functional theory (DFT), has been a standard tool to access the collective …

Nuclear dipole polarizabilities have been calculated self-consistently using various effective
interactions for several doubly closed shell nuclei. The agreement found between theory …

A partial-differential eigenvalue equation for the density displacement fields associated with
electronic excitations is derived in the framework of density-functional theory. Our quantum …

The random-phase approximation (RPA) in QP representation is introduced. It is shown that
the RPA equations can be regained from varying the ratio of energy-weighted moments m 3 …

We present a density functional approach to the description of nuclear giant resonances
(GR), using Skyrme type effective interactions. We exploit hereby the theorems of Thouless …

Background: The linear response of the nucleus to an external field contains unique
information about the effective interaction, the correlations governing the behavior of the …