Zobrazeno 1 - 10
of 2 606
pro vyhledávání: '"81Q10"'
Autor:
Palacios, José M., Pusateri, Fabio
We consider the problem of dynamical stability for the $n$-vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic stability is the basic assumption of the asymptotic ``particle plus field
Externí odkaz:
http://arxiv.org/abs/2409.04393
In this paper we prove sharp Lieb-Thirring (LT) inequalities for the family of shifted Coulomb Hamiltonians. More precisely, we prove the classical LT inequalities with the semi-classical constant for this family of operators in any dimension $d\geqs
Externí odkaz:
http://arxiv.org/abs/2409.01291
Autor:
Nguyen, Dinh-Thi
In two-dimensional space, we consider a system of $N$ anyons interacts via a short range attractive two-body interaction. In the stable regime, we derive the average-field Pauli functional as the mean-field limit of many-body quantum mechanics. Furth
Externí odkaz:
http://arxiv.org/abs/2409.00409
The aim of this paper is to study the existence of eigenvalues in the gap of the essential spectrum of the one-dimensional Dirac operator in the presence of a bounded potential. We employ a generalized variational principle to prove existence of such
Externí odkaz:
http://arxiv.org/abs/2408.12697
In a recent paper Behrndt, Holzmann, and Stenzel introduced a new class of two-dimensional Schr\"odinger operators with oblique transmissions along smooth curves. We extend most components of this analysis to the case of Lipschitz curves.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2408.09813
We study periodic approximations of aperiodic Schr\"odinger operators on lattices in Lie groups with dilation structure. The potentials arise through symbolic substitution systems that have been recently introduced in this setting. We characterize co
Externí odkaz:
http://arxiv.org/abs/2408.09282
Autor:
Helffer, Bernard, Kachmar, Ayman
We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and second st
Externí odkaz:
http://arxiv.org/abs/2407.16524
Autor:
Fermi, Davide
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-adjoint realizations is characterized by means of four different methods:
Externí odkaz:
http://arxiv.org/abs/2407.15115
Autor:
Corso, Thiago Carvalho
In this paper we address the following question: given a holomorphic function with prescribed $L^p(\mathbb{R})$ and $L^q(\mathbb{R})$ norm (with $1\leq p,q \leq \infty$) along two parallel lines in the complex plane, then what is the maximum value th
Externí odkaz:
http://arxiv.org/abs/2407.10117
Autor:
Ferretti, Daniele, Teta, Alessandro
We discuss the problem of constructing self-adjoint and lower bounded Hamiltonians for a system of $n>2$ non-relativistic quantum particles in dimension three with contact (or zero-range or $\delta$) interactions. Such interactions are described by (
Externí odkaz:
http://arxiv.org/abs/2407.06876