Berlin 2012 – scientific programme
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O: Fachverband Oberflächenphysik
O 55: Theoretical methods II
O 55.1: Talk
Wednesday, March 28, 2012, 16:45–17:00, MA 043
Interacting electrons in a quantum dot: A wave packet approach — •Johannes Eiglsperger1, Susmita Roy1, Christian Bracher2, and Tobias Kramer1 — 1Institut für theoretische Physik, Universität Regensburg, Germany — 2Physics Program, Bard College, Annandale-on-Hudson, USA
Solving quantum systems with interacting electrons is a complicated task: The antisymmetrization postulate renders calculations more and more cumbersome with increasing particle number n. The interaction between electrons entangles their dynamics, and the ensuing correlations leads to a full n-body wave function dependent upon n· d variables, where d is the dimensionality of the system, instead of simpler product states of single particle wave functions.
(TD)DFT is a popular and versatile method to describe the properties of these systems in terms of the electron density only, a function of d variables. However, the quality of the results depends critically on the sophistication of the employed exchange correlation functionals.
Semiclassical techniques based on wave packets offer a complementary approach. In our method, the system is modeled using complex coherent Gaussian states which populate a classical trajectory in phase space. The evolution of the trajectory is governed by Hamilton’s equations. We employ this coherent state dynamics model to study n-electron quantum dots in a magnetic field.