Point interaction Hamiltonians in bounded domains

DOI10.1063/1.2770672zbMath1152.81344arXiv0704.3249OpenAlexW3101787763MaRDI QIDQ3544387

Andrea Mantile, Rodolfo Figari, Philippe Blanchard

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0704.3249

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

On the many Dirichlet Laplacians on a non-convex polygon and their approximations by point interactions ⋮ Correctness of the definition of the Laplace operator with delta-like potentials ⋮ Eigenvalue statistics for Schrödinger operators with random point interactions on Rd, d = 1, 2, 3 ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers

Cites Work

• Wave chaos in quantum systems with point interaction
• Point interactions in a strip
• Potentials of zero radius and Carleman operators
• Resolvents of self-adjoint extensions with mixed boundary conditions
• Star graphs and \v Seba billiards
• Spin-dependent point potentials in one and three dimensions
• The theory of extensions and explicitly-soluble models
• Point perturbations of circle billiards
• Wave chaos in singular quantum billiard
• Quantum mechanics of layers with a finite number of point perturbations
• A remark on Krein's resolvent formula and boundary conditions

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