Bound states in quantum waveguides of a slowly decaying curvature

DOI10.1063/1.530378zbMath0767.35051OpenAlexW2045226040MaRDI QIDQ4697272

Pavel Exner

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.530378

zbMATH Keywords

existence of bound stateselectron propagation in a pure-semiconductor quantum wire

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Quantum optics (81V80) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

On local perturbations of waveguides ⋮ Existence of bound states in quantum waveguides under weak conditions ⋮ Asymptotic behavior of the eigenvalues of the Schrödinger operator with transversal potential in a weakly curved infinite cylinder ⋮ Weakly coupled bound states in quantum waveguides ⋮ Unnamed Item ⋮ Advances in quantum waveguide dynamics, with applications to physical and biological nanostructures ⋮ Asymptotic behavior of eigenvalues of the Laplace operator in infinite cylinders perturbed by transverse extensions ⋮ Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes ⋮ Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes

Cites Work

• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Bound states in curved quantum waveguides

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