Quantum graph of Sierpiński gasket type: computational experiment

DOI10.1134/S1061920807040036zbMath1176.81128OpenAlexW2072974560MaRDI QIDQ1033731

M. M. Sandler, Igor Yu. Popov, Irina V. Blinova

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920807040036

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) (2)-body potential quantum scattering theory (81U05)

Cites Work

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• Chaos in classical and quantum mechanics
• Spectral analysis on infinite Sierpiński gaskets
• Some properties of Laplacians on fractals
• What is not in the domain of the Laplacian on Sierpinski gasket type fractals
• Resonance statistics in a microwave cavity with a thin antenna
• ANALYSIS OF FUNCTIONS DEFINED ON FRACTAL SETS
• Diffusion on Self-Similar Structures
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Quantum graphs: I. Some basic structures

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