Intramolecular vibrational energy transfer is a process central to many physical and
chemical phenomena in molecules. Here, various theories describing the process are …

At present, two main types of algebraic methods are employed for analysis of molecular
spectra. The first goes back to the early days of molecular spectroscopy. The second …

The use of geometric methods in classical mechanics has proven fruitful, with wide
applications in physics and engineering. In this book, Professor Marsden concentrates on …

Resonances are ubiquitous in dynamical systems with many degrees of freedom. They have
the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled …

An accurate description of the complicated shape of the potential energy surface (PES) and
that of the highly excited vibration states is of crucial importance for various unsolved issues …

A theory of approximate dynamical constants of motion is presented for vibrational (and
implicitly, rovibrational) spectra of polyatomics with multiple nonlinear resonances. The …

We present a new method of frequency analysis for Hamiltonian Systems of 3 degrees of
freedom and more. The method is based on the concept of instantaneous frequency …

In this perspective, we review the challenges of calculating spectra of high-frequency XH
vibrations (where X= C, N, or O) of molecules and small clusters. These modes are often …

Energies and lifetimes (widths) of vibrational states above the lowest dissociation limit of O 3
16 were determined using a previously developed efficient approach, which combines …

Techniques of quantum, semiclassical, and nonlinear classical mechanics are employed to
investigate the bending dynamics of acetylene, as represented by a recently reported …