Physical and mathematical aspects related to the description of resonant states are
presented in a comprehensive way. The concepts concerning the representation of Gamow …

This work reviews foundations and applications of the complex-energy continuum shell
model that provides a consistent many-body description of bound states, resonances and …

We provide an investigation of the spectroscopic factor of resonance states in A= 5–8 nuclei,
utilizing the Gamow shell model (GSM). Within the GSM, the configuration mixing is taken …

We use the resonances of the spherical shell potential to present a thorough description of
the Gamow (quasinormal) states within the rigged Hilbert space. It will be concluded that the …

We express the resonant energies of the delta-shell potential in terms of the Lambert W
function, and we calculate their decay widths and decay constants. The ensuing numerical …

We present a study of weakly bound, neutron-rich nuclei using the nuclear shell model
employing the complex Berggren ensemble representing bound single-particle states …

In this work we discuss possible definitions of the mean value of the energy for a resonant
(Gamow) state. The mathematical and physical aspects of the formalism are reviewed. The …

Generalized eigenfunctions may be regarded as vectors of a basis in a particular direct
integral of Hilbert spaces or as elements of the antidual space Φ× in a convenient Gelfand …

Bound states of dipole-bound anions are studied by using a nonadiabatic pseudopotential
method and the Berggren expansion involving bound states, decaying resonant states, and …

The Gamow states are the quasinormal modes of quantum systems. It is shown that the
resonance amplitude associated with the Gamow states is given by the complex delta …