Completeness of resonance states for quantum graph with two semi-infinite edges
From MaRDI portal
Publication:5745146
DOI10.1080/17476933.2017.1289517zbMath1391.81201OpenAlexW2739435844MaRDI QIDQ5745146
D. A. Gerasimov, Igor Yu. Popov
Publication date: 5 June 2018
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2017.1289517
(S)-matrix theory, etc. in quantum theory (81U20) Applications of functional analysis in quantum physics (46N50)
Related Items (5)
NON-WEYL RESONANCE ASYMPTOTICS FOR QUANTUM GRAPH WITH THE DIRAC OPERATOR ON EDGES ⋮ Quantum graph in a magnetic field and resonance states completeness ⋮ Scattering, spectrum and resonance states completeness for a quantum graph with Rashba Hamiltonian ⋮ Incompleteness of resonance states for quantum ring with two semi-infinite edges ⋮ Unnamed Item
Cites Work
- On the resonances of the Laplacian on waveguides
- Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends
- Quantum waveguides
- Harmonic analysis of operators on Hilbert space
- A distinguished mathematical physicist Boris S. Pavlov
- On resonances and bound states of Smilansky Hamiltonian
- Control and inverse problems for networks of vibrating strings with attached masses
- Dynamical inverse problem for the discrete Schrödinger operator
- EXTENSION THEORY AND LOCALIZATION OF RESONANCES FOR DOMAINS OF TRAP TYPE
- The resonator with narrow slit and the model based on the operator extensions theory
- Scattering Theory for Automorphic Functions. (AM-87)
- Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator
- Complex resonances in acoustic waveguides
- Exponential bases in Sobolev spaces in control and observation problems for the wave equation
- Scattering on compact manifolds with infinitely thin horns
- Open quantum dots: Resonances from perturbed symmetry and bound states in strong magnetic fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Completeness of resonance states for quantum graph with two semi-infinite edges