Curvature induced toroidal bound states

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

References in corpus (3)

• Quantizing Constrained Systems: New Perspectives
• Dirac Particles in Twisted Tubes
• Quantum strips on surfaces

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