Curvature induced toroidal bound states
Lonnie J Mott
Mario Encinosa2003, Arxiv preprint quant-ph/0303083
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Abstract
Curvature-induced bound-state 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 that 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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