scientific article
From MaRDI portal
Publication:3966499
zbMath0501.35023MaRDI QIDQ3966499
Sergio A. Albeverio, Raphael J. Høegh-Krohn
Publication date: 1981
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
resonancespoint interactionssingular potentialslimits of short range interactionsshort range approximationsingular point perturbations
Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Statistical mechanics of solids (82D20) Scattering theory of linear operators (47A40)
Related Items (25)
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ Schrödinger operators with point interactions and short range expansions ⋮ Global attractor for 3D Dirac equation with nonlinear point interaction ⋮ Some remarks on the \(\delta\) '-interaction in one dimension ⋮ Unnamed Item ⋮ On fractional powers of singular perturbations of the Laplacian ⋮ On real resonances for three-dimensional Schrödinger operators with point interactions ⋮ Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Contact interactions and gamma convergence ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes ⋮ 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ Free quantum motion on a branching graph ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians ⋮ The stability of the Dirichlet and Neumann boundary conditions ⋮ Unnamed Item ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ Dynamics on a Graph as the Limit of the Dynamics on a “Fat Graph” ⋮ Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit ⋮ The spectrum of the three-dimensional Kronig-Penney model with random point defects ⋮ Low-energy parameters in nonrelativistic scattering theory ⋮ Perturbation of resonances in quantum mechanics ⋮ The short range expansion ⋮ A characterization of singular Schrödinger operators on the half-line ⋮ Regularization of energy-dependent pointlike interactions in 1D quantum mechanics
This page was built for publication:
