Bound states in mildly curved layers

DOI10.1088/0305-4470/34/30/308zbMath0981.81022arXivmath-ph/0103032OpenAlexW3121516195MaRDI QIDQ2756925

Pavel Exner, David Krejčiřík

Publication date: 19 November 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0103032

zbMATH Keywords

weak-coupling asymptoticsBirman-Schwinger analysisground-state eigenvalue expansionhard-wall layernoncompact curved surfaceregularity and decay of surface curvatures

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Location of the essential spectrum in curved quantum layers ⋮ Topologically nontrivial quantum layers ⋮ Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer ⋮ Existence of bound states for layers built over hypersurfaces in \(\mathbb R^{n+1}\) ⋮ On the spectrum of curved planar waveguides ⋮ Quantum strips on surfaces ⋮ The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces

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