Marmorino researches mathematical methods to calculate error bars (upper and lower bounds) to physical properties of atomic and molecular systems (such as energy and average distance of an electron from the nucleus). While such properties are known exactly for the hydrogen atom in non-relativistic theory, they can only be approximated for an atom even as simple as helium. Several students have researched with Marmorino, but the mathematical nature of the work requires competence with calculus. Experience with physics and programming (we use Mathematica) is advantageous.
