Electron wave functions on $T^2$ in a static magnetic field of arbitrary direction

Details Electron wave functions on $T^2$ in a static magnetic field of arbitrary direction Electron wave functions on $T^2$ in a static magnetic field of arbitrary direction

2005-02-11

arxiv.org/abs/physics/0502060v2

Physics

Computational Physics

18 pages, 6 figures

Scientific paper

10.1016/j.physe.2005.03.009

A basis set expansion is performed to find the eigenvalues and wave functions for an electron on a toroidal surface $T^2$ subject to a constant magnetic field in an arbitrary direction. The evolution of several low-lying states as a function of field strength and field orientation is reported, and a procedure to extend the results to include two-body Coulomb matrix elements on $T^2$ is presented.

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