Welcome to HyperBlazer.net!

Well, I still have yet to do any work on the appearance of the site (I was planning to redo my "1998 called and wants its black backgrounds back" site anyway). But for now, I'm happy to just be occasionally adding (or updating) content.

In any case, feel free to browse around until I get things set up properly.

Here are a few things you might be interested in:

Fermion Dynamics from a Classical Hamiltonian

While he was on sabbatical in Berkeley, Prof. Eran Rabani approached Prof. Miller about the idea of developing a semiclassical approach to study molecular electronics. Together, we developed what we eventually called the Dynamics for Classically Mapped Fermions (DCMF) method, which generates classical model Hamiltonian that can describe the dynamics of fermionic systems. Fermion dynamics are particularly challenging for a classical model because of the Pauli exclusion principle and because of the anticommutivity of fermionic operators.

Precision Finite Difference Monodromy Matrix

While at the University of California, Berkeley, I developed a new method for calculating the monodromy matrix. The monodromy (or stability) matrix is a quantity of central importance in many semiclassical theories; it is required to calculate the semiclassical prefactor, which helps capture many quantum effects in semiclassical calculations. Calculating it is one of the most computationally difficult parts of many semiclassical calculations.

Modeling the potential energy surface of H2-benzene

Under the direction of Prof. Clifford E. Dykstra of Indiana University-Purdue University Indianapolis, I used the Molecular Mechanics for Clusters [1] scheme to develop an approximate version of the H2-benzene ab initio potential energy surface. Using previously developed parameters for the H2-H2 interaction, [2] I was able to show that our model represented clusters of H2 around a benzene with good accuracy.

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