On the existence of bound states in asymmetric leaky wires

DOI10.1063/1.4941139zbMath1332.81070arXiv1505.02347OpenAlexW3104548140MaRDI QIDQ2795542

Pavel Exner, Semjon A. Vugalter

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1505.02347

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (2)

Optimization of the lowest eigenvalue for leaky star graphs ⋮ Bound states asymptotics in the system with quantum wires in ℝ³

Cites Work

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• Existence of bound states in quantum waveguides under weak conditions
• Geometrically induced spectrum in curved leaky wires
• Thin waveguides with Robin boundary conditions
• Curvature-induced bound states in Robin waveguides and their asymptotical properties
• Bound states in curved quantum waveguides
• Leaky Quantum Graphs: A Review
• Existence theorems for trapped modes
• Leaky quantum graphs: approximations by point-interaction Hamiltonians
• Curved planar quantum wires with Dirichlet and Neumann boundary conditions
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Erweiterte Symmetrieeigenschaften von Lösungen gewisser linearer Rand- und Eigenwertprobleme.

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