Spectral dimension and Bohr's formula for Schrödinger operators on unbounded fractal spaces

DOI10.1088/1751-8113/48/39/395203zbMath1326.81084arXiv1505.03923OpenAlexW3100227142WikidataQ59461367 ScholiaQ59461367MaRDI QIDQ3448673

Joe P. Chen, Alexander Teplyaev, Stanislav Alekseevich Molchanov

Publication date: 26 October 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03923

zbMATH Keywords

Schrödinger operatorfractalBohr's formula

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Blow-up in context of PDEs (35B44) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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