Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section

zbMath1238.81100arXiv1011.3645MaRDI QIDQ2884726

Jakob Wachsmuth, Jonas Lampart, Stefan Teufel

Publication date: 18 May 2012

Full work available at URL: https://arxiv.org/abs/1011.3645

zbMATH Keywords

spectral asymptoticsconstraintseffective Hamiltoniansthin tubes

Mathematics Subject Classification ID

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

Related Items (7)

Generalised quantum waveguides ⋮ Quantum confinement for the curvature Laplacian \(- \Delta + cK\) on 2D-almost-Riemannian manifolds ⋮ Scales, blow-up and quasimode constructions ⋮ Magnetic effects in curved quantum waveguides ⋮ The Effective Hamiltonian in Curved Quantum Waveguides and When It Does Not Work ⋮ On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides ⋮ The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces

This page was built for publication: Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section