A new type of solution of the Schrödinger equation on a self-similar fractal potential
arXiv:quant-ph/0607097 · doi:10.1088/0305-4470/39/37/L01
Abstract
Scattering a quantum particle by a self-similar fractal potential on a Cantor set is investigated. We present a new type of solution of the functional equation for the transfer matrix of this potential, which was derived earlier from the Schrödinger equation.
Latex, 4 pages, 7 eps-figures; the old figures are renewed and new ones are added