The authors review the evidence for the applicability of random–matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random–matrix predictions are fulfilled. An introduction into the basic concepts of random–matrix theory is followed by a survey over the extant experimental information on spe...

Various applications of quantum algebraic techniques in nuclear structure physics, such as the suq(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of deformed exactly soluble models (Interacting Boson Model, Moszkowski model) are briefly reviewed. Emphasis is put in the study of the symmetries of the anisotropic qu...

Various applications of quantum algebraic techniques in nuclear structure physics, such as the suq(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of deformed exactly soluble models (Interacting Boson Model, Moszkowski model) are briefly reviewed. Emphasis is put in the study of the symmetries of the anisotropic qu...

Experimental data on light nuclei close to dripline suggests that as the nucleon number asymmetry increases, the shell structure from stability line is not preserved. In contrast with spherical shell model, Elliott’s SU(3) model, uses a deformed multi-nucleon basis to describe nuclear states. The SU(3) symmetry is a strong feature of 1p shell nuclei, where symmetry breaking spin-orbit force is ...

A nuclear mass formula is constructed which is composed of two parts, one describing the general trend of the masses as a function of Z and N and the other representing deviations of individual masses from this general trend. These deviations are referred to as shell energies in a broad sense. The shell energies of spherical nuclei are calculated with use of a spherical single-particle potentia...

The damping widths associated with compound states of rotating deformed nuclei is analyzed by means of the microscopic shell model calculations. Because of the doorway mechanism present in the damped collective rotation, the rotational E2 transitions is characterized by not only the rotational damping width Γrot but also the spreading width Γnpnh of many-particle many-hole shell model states fo...

We transform the oscillator algebra with κ-deformed multiplication rule, proposed in [1, 2], into the oscillator algebra with κ-deformed flip operator and standard multiplication. We recall that the κ-multiplication of the κ-oscillators puts them off-shell. We study the explicit forms of modified mass-shell conditions in both formulations: with κ-multiplication and with κ-flip operation. On the...

Shell structure of the single-particle spectrum for reflection-asymmetric deformed cavity is investigated. Remarkable shell structure emerges for certain combinations of quadrupole and octupole deformations. Semiclassical periodicorbit analysis indicates that bifurcation of equatorial orbits plays an important role in the formation of this new shell structure. Theoretical and experimental explo...