Bound states of weakly deformed soft waveguides

DOI10.3233/ASY-241893zbMATH Open1545.35216MaRDI QIDQ6589607

Sylwia Kondej, V. Lotoreichik, Pavel Exner

Publication date: 20 August 2024

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorsdiscrete spectrumstrip-shaped potentialsweak deformation

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices
• Bound states in a locally deformed waveguide: The critical case
• Optimization of the lowest eigenvalue of a soft quantum ring
• Functional analysis, Sobolev spaces and partial differential equations
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Perturbation theory for linear operators.
• Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces
• Quantum waveguides
• Effective Hamiltonians for constrained quantum systems
• Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane
• Gap asymptotics in a weakly bent leaky quantum wire
• Weakly coupled bound states in quantum waveguides
• Spectral properties of soft quantum waveguides
• Soft quantum waveguides with an explicit cut-locus
• Operator Theory

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

This page was built for publication: Bound states of weakly deformed soft waveguides

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6589607)