Short-range potential and a model of operator extension theory for resonators with semitransparent boundary

DOI10.1007/BF02743169zbMath0952.35110OpenAlexW2137005222MaRDI QIDQ1974361

Igor Yu. Popov

Publication date: 4 January 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02743169

zbMATH Keywords

Laplace operatorselfadjoint extensionspropagation of an electronic wave in quantum wave guide

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Unnamed Item
• The Fejér-Riesz inequality for Siegel domains
• The approximation of the Schrödinger operators with penetrable wall potentials in terms of short range Hamiltonians
• Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials
• The extension theory and the opening in semitransparent surface
• The resonator with narrow slit and the model based on the operator extensions theory

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