Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix‐functions

DOI10.1002/mana.200610553zbMath1135.47060OpenAlexW1979952681MaRDI QIDQ5434599

L. V. Prokhorov, Anna B. Mikhailova, B. S. Pavlov

Publication date: 7 January 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610553

zbMATH Keywords

scatteringquantum networkDN-map

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (15)

Scattering matrices and Dirichlet-to-Neumann maps ⋮ Matrix functions nonregular on the convex hull of the spectrum ⋮ Generalized \(Q\)-functions and Dirichlet-to-Neumann maps for elliptic differential operators ⋮ Norm estimates for functions of a Hilbert-Schmidt operator nonregular on the convex hull of the spectrum ⋮ Scattering matrices and Weyl functions of quasi boundary triples ⋮ Variations on a theme of Jost and Pais ⋮ Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model ⋮ The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials ⋮ A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains ⋮ Norm estimates for functions of matrices with simple spectrum ⋮ Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations ⋮ Plasma waves in two-dimensional electron channels: propagation and trapped modes ⋮ Krein formula with compensated singularities for the ND-mapping and the generalized Kirchhoff condition at the Neumann Schrödinger junction ⋮ Calculation of the Kirchhoff coefficients for the Helmholtz resonator ⋮ Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps

Cites Work

• Unnamed Item
• Unnamed Item
• Pseudo-laplaciens. II
• The first eigenvalue of the Laplacian, isoperimetric constants, and the max flow min cut theorem
• A star-graph model via operator extension
• Graph models for waves in thin structures

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