Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions

Details Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions

2010-09-30

arxiv.org/abs/1009.6051v1

AIP Conf. Proc. vol 1323, pp. 178-190 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 3 figures

Scientific paper

10.1063/1.3537846

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.

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