Stability for a system of N fermions plus a different particle with zero-range interactions
M Correggi, G Dell'Antonio, D Finco… - Reviews in …, 2012 - World Scientific
We study the stability problem for a non-relativistic quantum system in dimension three
composed by N≥ 2 identical fermions, with unit mass, interacting with a different particle …
composed by N≥ 2 identical fermions, with unit mass, interacting with a different particle …
Self-adjoint extensions of restrictions
A Posilicano - arXiv preprint math-ph/0703078, 2007 - arxiv.org
We provide a simple recipe for obtaining all self-adjoint extensions, together with their
resolvent, of the symmetric operator $ S $ obtained by restricting the self-adjoint operator …
resolvent, of the symmetric operator $ S $ obtained by restricting the self-adjoint operator …
A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains
F Gesztesy, M Mitrea - Journal d'Analyse Mathématique, 2011 - Springer
This paper has two main goals. First, we are concerned with a description of all self-adjoint
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …
Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schr\" odinger operators on bounded Lipschitz domains
F Gesztesy, M Mitrea - arXiv preprint arXiv:0803.3179, 2008 - arxiv.org
arXiv:0803.3179v2 [math.AP] 15 May 2008 Page 1 arXiv:0803.3179v2 [math.AP] 15 May 2008
GENERALIZED ROBIN BOUNDARY CONDITIONS, ROBIN-TO-DIRICHLET MAPS, AND …
GENERALIZED ROBIN BOUNDARY CONDITIONS, ROBIN-TO-DIRICHLET MAPS, AND …
Pauli Hamiltonians with an Aharonov–Bohm flux
We study a two-dimensional Pauli operator describing a charged quantum particle with spin
1= 2 moving on a plane in presence of an orthogonal Aharonov–Bohm magnetic flux. We …
1= 2 moving on a plane in presence of an orthogonal Aharonov–Bohm magnetic flux. We …
[HTML][HTML] Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
The theory of self-adjoint extensions of symmetric operators is used to construct self-adjoint
realizations of a second-order elliptic differential operator on R n with linear boundary …
realizations of a second-order elliptic differential operator on R n with linear boundary …
Boundary triples and Weyl functions for singular perturbations of self-adjoint operators
A Posilicano - arXiv preprint math/0309077, 2003 - arxiv.org
Given the symmetric operator $ A_N $ obtained by restricting the self-adjoint operator $ A $
to $ N $, a linear dense set, closed with respect to the graph norm, we determine a …
to $ N $, a linear dense set, closed with respect to the graph norm, we determine a …
Spectral properties of the singular Friedrichs–Lee Hamiltonian
We show that the Friedrichs–Lee model, which describes the one-excitation sector of a two-
level atom interacting with a structured boson field, can be generalized to singular atom …
level atom interacting with a structured boson field, can be generalized to singular atom …
Curvature-induced bound states for a interaction supported by a curve in
P Exner, S Kondej - Annales Henri Poincaré, 2002 - Springer
We study the Laplacian in L^2(R^3) perturbed on an infinite curve Γ by a δ interaction
defined through boundary conditions which relate the corresponding generalized boundary …
defined through boundary conditions which relate the corresponding generalized boundary …
The Aharonov-Bohm Hamiltonian: self-adjointness, spectral and scattering properties
D Fermi - arXiv preprint arXiv:2407.15115, 2024 - arxiv.org
This work provides an introduction and overview on some basic mathematical aspects of the
single-flux Aharonov-Bohm Schr\" odinger operator. The whole family of admissible self …
single-flux Aharonov-Bohm Schr\" odinger operator. The whole family of admissible self …