Universal properties of simple quantum systems whose classical counter parts are chaotic,
are modeled by the classical random matrix ensembles and their interpolations …

In the last decade, there has been an increasing interest in the analysis of energy level
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …

A semiclassical approach is presented that allows us to extend the usual Van Vleck–
Gutzwiller formulation to the description of nonadiabatic quantum dynamics on coupled …

We recently derived a spin-mapping approach for treating the nonadiabatic dynamics of a
two-level system in a classical environment [JE Runeson and JO Richardson, J. Chem …

A mixed quantum-classical description of nonadiabatic photoreactions such as internal
conversion and electron transfer is outlined. In particular the validity and limitations of Tully's …

A theoretical formulation is outlined that allows us to extend the semiclassical Van Vleck–
Gutzwiller formulation to the description of nonadiabatic quantum dynamics on coupled …

II. Molecular Systems A. Model Hamiltonian B. Observables of Interest C. Model Systems 1.
Model I: S2→ S1 Internal Conversion in Pyrazine 2. Model II: eC→ eB→ eX Internal …

We propose a trajectory-based method for simulating nonadiabatic dynamics in molecular
systems with two coupled electronic states. Employing a quantum-mechanically exact …

We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting
many-body systems with finite numbers of collective degrees of freedom. We classify typical …

▪ Abstract Recent progress in the development of semiclassical methods to describe
quantum effects in molecular dynamics is reviewed. Focusing on rigorous semiclassical …