Topologically nontrivial quantum layers

DOI10.1063/1.1635998zbMath1070.58025arXivmath-ph/0302025OpenAlexW1983449886MaRDI QIDQ4833325

Pavel Exner, Gilles Carron, David Krejčiřík

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0302025

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of PDEs on manifolds (58J90)

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Cites Work

• On subharmonic functions and differential geometry in the large
• On the essential spectrum of a complete Riemannian manifold
• Existence of bound states in quantum waveguides under weak conditions
• Bound states in mildly curved layers
• Bound states in curved quantum waveguides
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Bound states in curved quantum layers