Elliptical torii in a constant magnetic field

Details Elliptical torii in a constant magnetic field Elliptical torii in a constant magnetic field

2005-09-23

arxiv.org/abs/quant-ph/0509172v1

Physics

Quantum Physics

11 pages revtex4

Scientific paper

The Schrodinger equation for an electron on the surface of an elliptical torus in the presence of a constant azimuthally symmetric magnetic field is developed. The single particle spectrum and eigenfunctions as a function of magnetic flux through the torus are determined and it is shown that inclusion of the geometric potential is necessary to recover the limiting cases of vertical strip and flat ring structures.

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