Generalised quantum waveguides

DOI10.1007/s00023-014-0374-9zbMath1327.81213arXiv1402.1067OpenAlexW3103517243MaRDI QIDQ892619

Jonas Lampart, Stefan Teufel, Stefan Haag

Publication date: 11 November 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1067

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fiber bundles in algebraic topology (55R10) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (16)

Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential ⋮ An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter ⋮ Moving frames and the characterization of curves that lie on a surface ⋮ Scales, blow-up and quasimode constructions ⋮ Effective Hamiltonians in surfaces of thin quantum waveguides ⋮ Waveguides with asymptotically diverging twisting ⋮ The adiabatic limit of Schrödinger operators on fibre bundles ⋮ Convergence of nodal sets in the adiabatic limit ⋮ Ruled strips with asymptotically diverging twisting ⋮ The NLS limit for Bosons in a quantum waveguide ⋮ Schrödinger equation in moving domains ⋮ Nodal sets of thin curved layers ⋮ Quantum waveguides with magnetic fields ⋮ The adiabatic limit of the connection Laplacian ⋮ Spectral properties of relativistic quantum waveguides ⋮ Soft quantum waveguides with an explicit cut-locus

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