Curvature induced toroidal bound states
arXiv:quant-ph/0303083 · doi:10.1103/PhysRevA.68.014102
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.
6 pages, no figures, Latex