Spectral properties of spiral-shaped quantum waveguides

DOI10.1088/1751-8121/abc5d3OpenAlexW3097815238MaRDI QIDQ5872026

Pavel Exner, Miloš Tater

Publication date: 26 January 2023

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

Full work available at URL: https://arxiv.org/abs/2009.02730

zbMATH Keywords

quantum waveguidesDirichlet boundaryspiral-shaped regions

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions

Cites Work

• Absence of singular continuous spectrum for certain self-adjoint operators
• Quantum waveguides
• On the dense point and absolutely continuous spectrum for Hamiltonians with concentric \(\delta\) shells
• The Neumann Laplacian of a Jelly Roll
• Binding and Scattering in Two-Dimensional Systems
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