Bound states in bent soft waveguides

DOI10.4171/JST/502MaRDI QIDQ6594561

Semjon A. Vugalter, Pavel Exner

Publication date: 28 August 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

zbMATH Keywords

discrete spectrumpotential biascurvature induced bound statessoft quantum waveguide

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

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• Optimization of the lowest eigenvalue of a soft quantum ring
• Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces
• Quantum waveguides
• Geometrically induced spectrum in curved leaky wires
• On the existence of bound states in asymmetric leaky wires
• Effective Hamiltonians for constrained quantum systems
• Approximation of plane curves by circular arcs
• The absence of the Efimov effect in systems of one- and two-dimensional particles
• Spectral properties of soft quantum waveguides
• Soft quantum waveguides with an explicit cut-locus
• Corrigendum: Spectral properties of soft quantum waveguides (2020 J. Phys. A: Math. Theor. 53 355302)
• Soft quantum waveguides in three dimensions

Related Items (2)

Quantum soft waveguides with resonances induced by broken symmetry ⋮ Fermi's golden rule in tunneling models with quantum waveguides perturbed by Kato class measures

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