Curvature induced toroidal bound states

Details Curvature induced toroidal bound states Curvature induced toroidal bound states

2003-03-13

arxiv.org/abs/quant-ph/0303083v1

Physics

Quantum Physics

6 pages, no figures, Latex

Scientific paper

10.1103/PhysRevA.68.014102

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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