
Theory of intramolecular energy flow

Nonlinear dynamics of highly excited molecules

Dynamics of atoms interacting with intense electromagnetic
fields

Theory of scanning tunneling microscopy and atomic force
microscopy

Theories of gassurface scattering

Dynamics of chemical reactions at surfaces

My research is in theoretical
chemical physics and is primarily directed to studying the dynamics of
microscopic and mesoscopic systems (e.g., quantum dots) in the classical
limit of quantum mechanics, i. e., when h
is small. Examples of such systems are ultrahigh atomic and molecular Rydberg
states and electrons in quantum dots, sometimes called artificial atoms.
The sensitivity of these systems to external electric and/or magnetic fields
makes them ideal candidates to study the dynamical effects of symmetrybreaking
perturbations. Practical aplications include ZEKE spectroscopy that relies
on the preparation and stabilization of ultrahigh Rydberg molecules (principle
quantum number n > 200) and the development of quantum electronics
in which the wavelength and localization of individual electrons in a quantum
dot need to be controlled. These systems all exist at the boundary of quantum
and classical mechanics and display a range of novel dynamical properties
such as chaos and Arnold diffusion. We investigate these systems using
a variety of theoretical and numerical methods ranging from classical trajectory
simulations to direct integration of the time dependent Schrödinger
equation. A good review of work in this area is contained in an article
in Science (vol. 273, p. 307, 1996) that features some of
our research. The titles in the following list of publications provide
an overview of some of our recent research activities. 