Asymptotic spectrum for the Dirichlet Laplacian in thin deformed tubes with scaled geometry

DOI10.1088/1751-8113/45/43/435201zbMath1257.81021OpenAlexW2079650288MaRDI QIDQ4649421

César R. de Oliveira, Alessandra A. Verri

Publication date: 22 November 2012

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

Full work available at URL: https://semanticscholar.org/paper/c6877f3594d1bad7f0391e5c1773a26470a56ff5

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Quantum waveguides, quantum wires (82D77)

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A note on the spectrum of the Neumann Laplacian in thin periodic waveguides

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