Quantum dot with attached wires: resonant states completeness

DOI10.1016/S0034-4877(17)30054-XzbMath1384.81149OpenAlexW2749101231MaRDI QIDQ1746056

A. I. Popov, Igor Yu. Popov

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(17)30054-x

zbMATH Keywords

scatteringresonancequantum graph

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) (2)-body potential quantum scattering theory (81U05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum dots as quasi particles (81V65)

Related Items (2)

Quantum graph in a magnetic field and resonance states completeness ⋮ Scattering, spectrum and resonance states completeness for a quantum graph with Rashba Hamiltonian

Cites Work

• Dynamics of an electron confined to a ``hybrid plane and interacting with a magnetic field
• Ballistic transport in nanostructures: Explicitly solvable models
• Evanescent modes in a multiple scattering factorization
• Harmonic analysis of operators on Hilbert space
• A single-mode quantum transport in serial-structure geometric scatterers
• Spectral problem for solvable model of bent nano peapod
• A distinguished mathematical physicist Boris S. Pavlov
• Resonance scattering across the superlattice barrier and the dimensional quantization
• Scattering on a Compact Domain with Few Semi-Infinite Wires Attached: Resonance Case
• Appendix resonances on a simple graph
• Scattering on compact manifolds with infinitely thin horns
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quantum dot with attached wires: resonant states completeness