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Elliptical tori in a constant magnetic field

M Encinosa and M Jack

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The Schrödinger 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.


PACS

03.65.Ge Solutions of wave equations: bound states

03.65.Vf Phases: geometric; dynamic or topological

Subjects

Quantum information and quantum mechanics

Dates

Issue 5 (May 2006)

Received 22 September 2005, accepted for publication 23 January 2006

Published 28 March 2006



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