Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum

DOI10.1088/0305-4470/38/21/007zbMath1064.81037arXivmath/0503497OpenAlexW3100937256MaRDI QIDQ4681393

W. Desmond Evans, Michael Solomyak

Publication date: 23 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503497

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (12)

On a family of differential operators with the coupling parameter in the boundary condition ⋮ Spectral and resonance properties of the Smilansky Hamiltonian ⋮ Absolutely continuous spectrum for Laplacians on radial metric trees and periodicity ⋮ A magnetic version of the Smilansky–Solomyak model ⋮ Smilansky-Solomyak model with a \(\delta^\prime\)-interaction ⋮ A model with chaotic scattering and reduction of wave packets ⋮ A regular analogue of the Smilansky model: spectral properties ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ On a mathematical model of irreversible quantum graphs ⋮ Schrödinger Operators with a Switching Effect ⋮ The Kronig–Penney model in a quadratic channel with δ interactions: II. Scattering approach ⋮ A Kronig–Penney model in a quadratic channel with periodic δ-interactions: I. Dynamics

This page was built for publication: Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum