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

Tobias Kramer

doi:10.1063/1.3537846

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arXiv · 1009.6051

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

Tobias Kramer

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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.

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Tobias Kramer. 2010-09-30. Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions. https://doi.org/10.1063/1.3537846

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