In this review, a general algorithm for constructing coherent states of dynamical groups for a
given quantum physical system is presented. The result is that, for a given dynamical group …

The aim of this paper is to introduce a new member of the family of the modal interpretations
of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the …

Fluctuation properties have been analyzed for a large collection of low-lying nuclear energy
levels, with emphasis on the nearest-neighbor spacing distributions. The levels are …

This overview focuses on the notion of partial dynamical symmetry (PDS), for which a
prescribed symmetry is obeyed by a subset of solvable eigenstates, but is not shared by the …

Quantum nonintegrability in finite systems, as viewed from geometry and dynamical
symmetry breaking, is discussed in this article. The concept of quantum nonintegrability can …

This book presents the essential ideas of coherent states and provides researchers and
graduate students with the necessary tools for various applications of generalized coherent …

Algebraic dynamics and time-dependent dynamical symmetry are proposed. It is proved that
every linear nonautonomous system with a semi-simple Lie algebra possesses a time …

We present a complete analysis of the dynamics of a Bose–Einstein condensate trapped in
a symmetric triple-well potential. Our classical analogue treatment, based on a time …

The degree of chaos in the simplest interacting boson model (IBM-1) is compared with what
we call the “dynamical symmetry content” of the system. The latter is represented by the …

The localization of the IBM-1 eigenstates in bases corresponding to various dynamical
symmetries of the model is quantified by the information entropy of the wave functions. Apart …