[BOOK][B] Direct and inverse scattering for the matrix Schrödinger equation

T Aktosun, R Weder - 2021 - Springer
In this monograph, we present a complete and self-contained presentation of the direct and
inverse scattering theories for the matrix Schrödinger equation on the half line with the …

[PDF][PDF] Quantum graphs and their resonance properties

J Lipovský - acta physica slovaca, 2016 - physics.sk
Quantum mechanics is quite an unintuitive theory, in which experience from our common life
often fails to describe the results of experiments. However, a mathematical theory based on …

[PDF][PDF] Quantum fields and point interactions

S Albeverio, R Figari - Rend. Mat. Appl.(7), 2018 - mat.uniroma1.it
A survey of results on quantum mechanical interactions described by idealized short range
potentials, for short “point interactions”, is presented. Both physical and mathematical …

Application of topological resonances in experimental investigation of a Fermi golden rule in microwave networks

M Ławniczak, J Lipovský, M Białous, L Sirko - Physical Review E, 2021 - APS
We investigate experimentally a Fermi golden rule in two-edge and five-edge microwave
networks with preserved time reversal invariance. A Fermi golden rule gives rates of decay …

[HTML][HTML] On the multilevel internal structure of the asymptotic distribution of resonances

S Albeverio, IM Karabash - Journal of Differential Equations, 2019 - Elsevier
We prove that the set of resonances Σ (H) has a multilevel asymptotic structure for the
following classes of Hamiltonians H: Schrödinger operators with point interactions yj∈ R 3 …

Spectral Theory Problems on Graphs and Their Applications

J Lipovský - 2022 - dspace.cvut.cz
The present habilitation thesis is a collection of nine papers in spectral theory. Several
models are used, namely, quantum graphs, microwave networks, damped wave equation …

[PDF][PDF] Asymptotika rezonancí v kvantových grafech s vazebnou podmínkou preferované orientace

VI Zámečníková - theses.cz
Anotace ZÁMEČNÍKOVA, V. Asymptotika rezonanci v kvantových grafech s vazebnou
podmínkou preferované orientace. Hradec Králové, 2024. Bakalářská práce na …

The Inverse Scattering Problem for the Matrix Schr\" odinger Equation

T Aktosun, R Weder - arxiv preprint arxiv:1708.03837, 2017 - arxiv.org
The matrix Schr\" odinger equation is considered on the half line with the general selfadjoint
boundary condition at the origin described by two boundary matrices satisfying certain …

[PDF][PDF] Trajektorie rezonancí v kvantových grafech

O Plecháček - theses.cz
Anotace Plecháček O. Trajektorie rezonancí v kvantových grafech. Hradec Králové 2018.
Bakalářská práce na Přírodovědecké fakultě Univerzity Hradec Králové. Vedoucí bakalářské …