Ij. Clark et Aj. Bracken, EFFECTIVE POTENTIALS OF QUANTUM STRIP WAVE-GUIDES AND THEIR DEPENDENCE UPON TORSION, Journal of physics. A, mathematical and general, 29(2), 1996, pp. 339-348
We investigate the dynamics of a particle constrained to move on a cur
ved quantum strip waveguide embedded in three-space, subject to Dirich
let boundary conditions. By establishing a coordinate system which all
ows a more general formulation of the dynamics, we demonstrate consist
ency with previous results and provide evidence that the presence of t
orsion introduces a further effective potential term. This result has
implications for nanostructure device engineering.