On the transfer-matrix approach to the scattering problem for the self-similar fractal potential and Cantor staircase

DOI10.1134/S2070046610030015zbMath1258.81041OpenAlexW2045020047MaRDI QIDQ1760229

Nikolay L. Chuprikov

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046610030015

zbMATH Keywords

self-similarityfractalsquantum scatteringtransfer-matrix approach

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Fractals (28A80) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• On \(p\)-adic mathematical physics
• Fractal theoretic aspects of local field
• Quantum scattering on a Cantor bar
• Scattering on fractal measures
• Electron tunnelling through a self-similar fractal potential on the generalized Cantor set
• The transfer matrices of the self-similar fractal potentials on the Cantor set
• A new type of solution of the Schrödinger equation on a self-similar fractal potential

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