SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS-Reference-Cited by-同舟云学术

SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS

Published:2008-02 Issue:01 Volume:20 Page:1-70
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BRÜNING JOCHEN¹,GEYLER VLADIMIR¹²,PANKRASHKIN KONSTANTIN¹³

Affiliation:

1. Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin, Germany

2. Mathematical Faculty, Mordovian State University, 430000 Saransk, Russia

3. Département de Mathématiques, Université Paris Nord, 99 av. J.-B. Clément, 93430 Villetaneuse, France

Abstract

We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces and singular perturbations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X08003249

Reference114 articles.

1. Null-range potentials and M. G. Krein's formula for generalized resolvents

2. Renormalization Group in Potential Scattering

Cited by 126 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundary triples and Weyl functions for Dirac operators with singular interactions;Reviews in Mathematical Physics;2023-11-09

2. Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions;Journal of Physics A: Mathematical and Theoretical;2023-07-19

3. A dive into spectral inference networks: improved algorithms for self-supervised learning of continuous spectral representations;Applied Mathematics and Mechanics;2023-07

4. The Jacobi Operator and Its Donoghue m-Functions;Operator Theory: Advances and Applications;2023

5. Estimations polynomiales pour les problèmes de transmission sur des domaines à bords plats;Tunisian Journal of Mathematics;2022-12-31