This review is focused on various properties of quantum phase transitions (QPTs) in the
Interacting Boson Model (IBM) of nuclear structure. The model describes collective modes of …

Modern notions and important tools of classical mechanics are used in the study of concrete
examples that model physically significant molecular and atomic systems. The parametric …

The hydrogen atom perturbed by sufficiently small homogeneous static electric and
magnetic fields of arbitrary mutual alignment is a specific perturbation of the Kepler system …

We consider the wide class of systems modeled by an integrable approximation to the 3
degrees of freedom elastic pendulum with 1∶ 1∶ 2 resonance, or the swing-spring. This …

The change in the energy level structure of a bent molecule as it starts to sample linear
geometries has been discussed in terms of monodromy found in simple two-dimensional …

We present an extension of the Hamiltonian of the two dimensional limit of the vibron model
to encompass all possible interactions up to four-body operators. We apply this Hamiltonian …

Chain molecules with one low-lying bending mode provide a set of model species for the
exploration of quantum monodromy in quasi-linear molecules. Recent work on water [NF …

The [H, C, N] molecular system is a very important model system to many fields of chemical
physics and the experimental characterization of highly excited vibrational states of this …

Classical dynamics is one of the cornerstones of advanced education in physics and applied
mathematics, with applications across engineering, chemistry and biology. In this book, the …

Semitoric systems are a type of four-dimensional integrable system for which one of the
integrals generates a global S1-action; these systems were classified by Pelayo and Vu …