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Studying nonequilibrium phenomenon with particular emphasis on
dynamics in complex environments.
For example, the extent to which microscopic reaction dynamics
are affected by macroscopic or observable chemical reaction rates
in arbitrary solvent environments.
Sample systems include the dynamics of catalyzed reactions,
adsorbate diffusion on metal surfaces and protein motions.
Worked towards a quantum path-integral centroid
formulation of statistical mechanics, with emphasis on
experimentally observable quantities such as time-dependent
correlation functions.
Developed a semiclassical theory to describe activated dynamics in
dissipative media, with particular emphasis towards understanding
the tunneling effect on chemical reactions in solution.
The primary tricks are the development of a hierarchy of Hamiltonians in
which the normal-mode transformation is sequentially undone
and the use of the semiclassical transition state formula developed
earlier by Hernandez and Miller.
Studied the dynamics of polyatomic chemical reactions. Specifically looked
at the distributions of unimolecular decay rates at energies near
threshold and at a semiclassical transition state theory describing the
tunneling probabilities of reactions. (Administered and
maintained a heterogeneous cluster of UNIX work-stations.)
AND I managed to collect a PhD in Theoretical Chemistry for
my troubles.
In 1989, studied the
spectra of a large number of spin 1/2 particles coupled through
dipole-dipole interactions in a zero field region.
In 1988, conducted experiments and performed
numerical simulations to elucidate the flow of
thermoset polymers important to the encapsulation of microchips.
Studied the effect of crossing
Poisson distributed energy levels - a signature of
quantum integrability -
to a series of "bright" states through
Gaussian distributed couplings, thereby introducing "chaos."
Studied the effect of missing and spurious energy levels on
the statistics of these ensembles.
Conducted FTIR spectroscopy experiments on
the deuterated ammonia isotopomers, and
worked on their assignment.
Hialeah High School, FL. (1982-85).
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Investigated the relative lipid
concentrations in samples from CF patients at the nearby Mailman Center.
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