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

M. Encinosa

doi:10.1016/j.physe.2005.03.009

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

M. Encinosa

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Abstract

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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M. Encinosa. 2005-03-09. Electron wave functions on $T^2$ in a static magnetic field of arbitrary direction. https://doi.org/10.1016/j.physe.2005.03.009

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