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David Farrelly

Professor of Physical Chemistry

Department of Chemistry and Biochemistry
Utah State University
Logan, UT 84322-0300 USA

Office Phone: (435) 797-1608; FAX (435) 797-3390

E-mail: davidfarrelly@yahoo.com

Research Interests

  • Theory of intramolecular energy flow
  • Non-linear dynamics of highly excited molecules
  • Chaotics dynamics
  • Dynamics of atoms interacting with intense electromagnetic fields
  • Theory of scanning tunneling microscopy and atomic force microscopy
  • Theories of gas-surface 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 symmetry-breaking 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.

Selected Publications