Magnetic Laplacians of locally exact forms on the Sierpinski gasket

DOI10.3934/cpaa.2017113zbMath1375.81110arXiv1604.01340OpenAlexW2964092821MaRDI QIDQ2408396

Yanyan Li

Publication date: 12 October 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01340

zbMATH Keywords

Schrödinger operatorSierpinski gasketanalysis on fractalsmagnetic form

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractals (28A80) Transition functions, generators and resolvents (60J35) Forms (bilinear, sesquilinear, multilinear) (47A07) Potential theory on fractals and metric spaces (31E05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: solving the Hofstadter-Sierpinski butterfly ⋮ Approximation of fractals by discrete graphs: norm resolvent and spectral convergence

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