On a mathematical model of irreversible quantum graphs

DOI10.1090/S1061-0022-06-00932-0zbMath1264.47051OpenAlexW1669356033MaRDI QIDQ5485843

Michael Solomyak

Publication date: 4 September 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00932-0

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) General mathematical topics and methods in quantum theory (81Q99) Discrete potential theory (31C20)

Related Items (7)

On a family of differential operators with the coupling parameter in the boundary condition ⋮ Spectral and resonance properties of the Smilansky Hamiltonian ⋮ A magnetic version of the Smilansky–Solomyak model ⋮ Smilansky-Solomyak model with a \(\delta^\prime\)-interaction ⋮ A regular analogue of the Smilansky model: spectral properties ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ Schrödinger Operators with a Switching Effect

Cites Work

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• Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model
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• On the discrete spectrum of a family of differential operators
• ON THE ABSOLUTELY CONTINUOUS SPECTRUM IN A MODEL OF AN IRREVERSIBLE QUANTUM GRAPH
• Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum
• Graph models for waves in thin structures
• Irreversible quantum graphs
• On a differential operator appearing in the theory of irreversible quantum graphs
• Smilansky's model of irreversible quantum graphs: II. The point spectrum

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