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Curvature induced toroidal bound states

M. Encinosa·L. Mott
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Abstract

Curvature induced bound state (E < 0) eigenvalues and eigenfunctions for a particle constrained to move on the surface of a torus are calculated. A limit on the number of bound states a torus with minor radius a and major radius R can support is obtained. A condition for mapping constrained particle wave functions on the torus into free particle wave functions is established.

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M. Encinosa, L. Mott. 2003-03-13. Curvature induced toroidal bound states. https://doi.org/10.1103/physreva.68.014102

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