Spectral and resonance properties of the Smilansky Hamiltonian
From MaRDI portal
Publication:2410077
DOI10.1016/j.physleta.2016.12.053zbMath1372.81041arXiv1610.02868OpenAlexW2531747293MaRDI QIDQ2410077
Miloš Tater, Pavel Exner, Vladimir Lotoreichik
Publication date: 17 October 2017
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.02868
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (4)
A magnetic version of the Smilansky–Solomyak model ⋮ Smilansky-Solomyak model with a \(\delta^\prime\)-interaction ⋮ Schrödinger Operators with a Switching Effect ⋮ The Kronig–Penney model in a quadratic channel with δ interactions: II. Scattering approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Open quantum systems and Feynman integrals
- Quantum waveguides
- On a family of differential operators with the coupling parameter in the boundary condition
- On the discrete spectrum of a family of differential operators
- On resonances and bound states of Smilansky Hamiltonian
- Irreversible behaviour and collapse of wave packets in a quantum system with point interactions
- Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition
- ON THE ABSOLUTELY CONTINUOUS SPECTRUM IN A MODEL OF AN IRREVERSIBLE QUANTUM GRAPH
- Quantum exotic: a repulsive and bottomless confining potential
- Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum
- Solvable Models of Resonances and Decays
- Irreversible quantum graphs
- On the limiting behaviour of the spectra of a family of differential operators
- On a mathematical model of irreversible quantum graphs
- Smilansky's model of irreversible quantum graphs: II. The point spectrum
This page was built for publication: Spectral and resonance properties of the Smilansky Hamiltonian
