A new type of solution of the Schrödinger equation on a self-similar fractal potential

Details A new type of solution of the Schrödinger equation on a self-similar fractal potential A new type of solution of the Schrödinger equation on a self-similar fractal potential

2006-07-14

arxiv.org/abs/quant-ph/0607097v3

J. Phys. A: Math. Gen. 39 (2006) L559-L562

Physics

Quantum Physics

Latex, 4 pages, 7 eps-figures; the old figures are renewed and new ones are added

Scientific paper

10.1088/0305-4470/39/37/L01

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 Schr\"odinger equation.

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