Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
Mesoscale and Nanoscale Physics
2011-01-04 v1 Quantum Physics
Abstract
The quantum mechanical many-body problem is rarely analytically solvable. One notable exception is the case of two electrons interacting via a Coulomb potential in a uniform magnetic field. The motion is confined to a two-dimensional plane, which is commonly the case in nanodevices. We compare the exact solution with the semiclassical energy spectrum and study the time-dependent dynamics of the system using the time-dependent variational principle.
Keywords
Cite
@article{arxiv.1009.6051,
title = {Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions},
author = {Tobias Kramer},
journal= {arXiv preprint arXiv:1009.6051},
year = {2011}
}
Comments
13 pages, 3 figures