Quantum tunneling from a new type of unified Cantor potential

DOI10.1016/J.AOP.2023.169485arXiv2308.08180OpenAlexW4387432336MaRDI QIDQ6065705

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Publication date: 15 November 2023

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.08180

zbMATH Keywords

scaling lawquantum tunnelingtransmission probabilityfractal systemCantor potential

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Mean value and transfer theorems (11H60) Tunneling in quantum theory (81U26)

Cites Work

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• Strong Resonance of Light in a Cantor Set
• Scattering on fractal measures
• Electron tunnelling through a self-similar fractal potential on the generalized Cantor set
• A new type of solution of the Schrödinger equation on a self-similar fractal potential

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