We are The Augustus De Morgan Society, one of UCL's founding societies, named after the first
Mathematics Professor at UCL, Augustus De Morgan.
A large part of our efforts are to run events across the academic year for the entirety of UCL's maths
department, promoting not only mathematical, but social engangement to ensure a healthy and indulging
work environment.
Each year the society hosts the ADM Ball, a party to celebrate the end of examinations, open to all
members of the maths department.
The last of our subjects in our series was with Professor Graham Worth, a theoretical chemist who regularly works with quantum physics! This talk gave everyone the opportunity to get an insight in how mathematics interacts with chemistry.
Solving the Time-Dependent Schroedinger Equation: Methods and Algorithms.
To understand the fundamental time-dependent behavior of particles, we need to solve the time-dependent Schroedinger equation (TDSE). This is a significant challenge as the standard methods used scale exponentially with system size, preventing the study of many systems of interest to chemists and physicists. In this talk, the methods and approximations we use to solve the TDSE, focusing on the case of distinguishable particles (nuclei), will be presented [1,2]. The mathematics underlying the general approach will be highlighted, along with areas, particularly numerical analysis where mathematicians have a role to play in helping us develop robust, accurate and useful algorithms [3,4].
[1] Beck et al. Phys. Rep. (00) 324: 1
[2] Kulander. "Time-Dependent Methods for Quantum Dynamics" (91) Elsevier
[3] Lubich "From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical
Analysis", (08) Springer
[4] Lasser and Su. J. Math Phys. (22) 63: 172107
You can view a recording here!
Below are the highlights of ADM Events from our gallery. You can view all of them here.