A Krein-like formula for singular perturbations of self-adjoint operators and applications
From MaRDI portal
Publication:5940315
DOI10.1006/jfan.2000.3730zbMath0981.47022arXivmath/0005082OpenAlexW2042819332MaRDI QIDQ5940315
Publication date: 20 September 2001
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0005082
Related Items
Trace formulas for additive and non-additive perturbations, Rank one perturbations supported by hybrid geometries and their deformations, Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces, Generalized spin-boson models with non-normalizable form factors, Point interactions in acoustics: One-dimensional models, Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces, Compact submanifolds supporting singular interactions, On the many Dirichlet Laplacians on a non-convex polygon and their approximations by point interactions, Gap asymptotics in a weakly bent leaky quantum wire, STRONG-COUPLING ASYMPTOTIC EXPANSION FOR SCHRÖDINGER OPERATORS WITH A SINGULAR INTERACTION SUPPORTED BY A CURVE IN ℝ3, From short-range to contact interactions in two-dimensional many-body quantum systems, Magnetic layers with periodic point perturbations., The semi-classical limit with a delta potential, Markovian extensions of symmetric second order elliptic differential operators, Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces, Local Casimir effect for a scalar field in presence of a point impurity, Weakly coupled bound state of 2-D Schrödinger operator with potential-measure, Spectral theory of the Fermi polaron, Three-body Hamiltonian with regularized zero-range interactions in dimension three, The semi-classical limit with a delta-prime potential, Rigorous derivation of the Efimov effect in a simple model, On Schrödinger operators modified by \(\delta\) interactions, Zero-range Hamiltonian for a Bose gas with an impurity, D^²=H+¼ with point interactions, \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction, Straight quantum layer with impurities inducing resonances, Scattering theory with both regular and singular perturbations, Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions, Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems, Singularly continuous spectrum of singularly perturbed operators, Spectral analysis of a quantum system with a double line singular interaction, SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS, Upper bound for the number of bound states induced by the curvature of singular potential, On the self-adjointness of \(H+A^*+A\), Kreı̆n Formula and Convergence of Hamiltonians with Scaled Potentials in Dimension One, Resonances induced by broken symmetry in a system with a singular potential, Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3, The semiclassical limit on a star-graph with Kirchhoff conditions, Inverse wave scattering in the Laplace domain: A factorization method approach, Scattering from local deformations of a semitransparent plane, Unnamed Item, Resolvents of self-adjoint extensions with mixed boundary conditions, The rigged Hilbert spaces approach in singular perturbation theory, \(p\)-adic Schrödinger-type operator with point interactions, Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\), Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions, Singular perturbations of abstract wave equations, A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains, Boundary pairs associated with quadratic forms, On geometric perturbations of critical Schrödinger operators with a surface interaction, Asymptotic completeness and S-matrix for singular perturbations, Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles, Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces, Nonlinear maximal monotone extensions of symmetric operators, Unnamed Item, Unnamed Item, The closed extensions of a closed operator, Boundary relations and generalized resolvents of symmetric operators, SINGULAR SPECTRUM FOR RADIAL TREES, INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR, Scale invariant effective Hamiltonians for a graph with a small compact core, On the absence of absolutely continuous spectra for Schrödinger operators on radial tree graphs, The Schrödinger equation with a moving point interaction in three dimensions, Fractional Schrödinger operator with delta potential localized on circle, Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane, A characterization of singular Schrödinger operators on the half-line, Bound states asymptotics in the system with quantum wires in ℝ3
Cites Work
- On the semiboundedness of \(\delta\)-perturbations of the Laplacian supported by curves with angle points
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- Quadratic forms for singular perturbations of the Laplacian
- An addendum to Krein's formula
- Rank one perturbations, approximations, and selfadjoint extensions
- Schrödinger operator perturbed by operators related to null sets
- Rank one perturbations with infinitesimal coupling
- The extension theory of Hermitian operators and the moment problem
- Sur une classe d'opérateurs différentiels hypoelliptiques
- Rigorous dynamics and radiation theory for a Pauli-Fierz model in the ultraviolet limit
- On general boundary problems for elliptic differential equations
- NON-LINEAR POTENTIAL THEORY
- First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
- A Whitney extension theorem in \(L^p\) and Besov spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item