Interacting electrons in a magnetic field: mapping quantum mechanics to a classical ersatz-system
arXiv:1207.2428 · doi:10.1063/1.4759422
Abstract
Solving the quantum-mechanical many-body problem requires scalable computational approaches, which are rooted in a good understanding of the physics of correlated electronic systems. Interacting electrons in a magnetic field display a huge variety of eigenstates with different internal structures, which have been probed experimentally in the Hall effect. The advent of high-performing graphics processing units has lead to a boost in computational speed in particular for classical systems. In the absence of a quantum-computer, it is thus of importance to see how quantum-mechanical problems can be cast into a seemingly classical dynamics, which can be efficiently implemented. At the same time, such mappings provide insights into the quantum-to-classical transition of many-body systems.
7 pages; conference Beauty in Physics: theory and experiment. In honor of Prof. F. Iachello., Cocoyoc, Mexico 2012