Mathematical and high energy physics (MHEP)
The
investigations of Dr. Carlos R. Handy and Dr. Daniel Bessis are primarily
focus on novel analytical/computational methods for solving low dimension,
quantum operator problems. Particular methods (i.e. moment problem
representations, scaling transforms, etc) in investigating singular perturbation
type systems. In addition, traditional complex analysis methods are also used,
in support of parallel research in quantum scattering processes, originating
from the atomic physics group. The latter has focused, particularly, on the
effectiveness of Regge pole (complex-angular momentum) techniques, combined with
intricate WKB-turning point methods, in solving difficult scattering problems.
More recently, some novel results were achieved through the development of
positivity representations for non-Hermitian systems. This allowed a Moment
Problem analysis through which convering bounds to complex eigenenergies (for
those systems which break PT symmetry) can be generated.
Dr. Daniel Bessis is also working
on the far-infrared cascade lasers and quantum well infrared detectors,
electronic filters in nanostructures.
Dr.
George Japaridze is studying the problems at the interface of particle physics and
astrophysics. Currently he is involved with the international project Ice
Cube,
neutruno observatory located at the South Pole. Research interests: standard
model phenomenology, quantum field theory, quantum mechanics.
