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 …

The isospin-breaking effects due to the Coulomb interaction in weakly bound nuclei are
studied using the Gamow shell model, a complex-energy configuration-interaction approach …

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 …

In the threshold region, the cross section and the associated overlap integral obey the
Wigner threshold law that results in the Wigner-cusp phenomenon. Due to flux conservation …

We review some results in the theory of non-relativistic quantum unstable systems. We
account for the most important definitions of quantum resonances that we identify with …

The presence of a particle continuum, both of a resonant and non-resonant character, can
significantly impact spectroscopic properties of weakly bound nuclei and excited nuclear …

In the search for solvable or quasi-solvable models for resonances, we consider a one-
dimensional potential, which is a harmonic oscillator for x< 0, has a point potential at the …

The q-deformed harmonic oscillator is revisited in connection with the spectrum of finite
range potentials. It is found that the finite series expansion of the canonical variables, the q …

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 …