Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Cassano, Biagio"'
In this paper, we investigate properties of unique continuation for hyperbolic Schr\"odinger equations with time-dependent complex-valued electric fields and time-independent real magnetic fields. We show that positive masses inside of a bounded regi
Externí odkaz:
http://arxiv.org/abs/2306.05084
We investigate the properties of self-adjointness of a two-dimensional Dirac operator on an infinite sector with infinite mass boundary conditions and in presence of a Coulomb-type potential with the singularity placed on the vertex. In the general c
Externí odkaz:
http://arxiv.org/abs/2202.13180
Autor:
Cassano, Biagio, Lotoreichik, Vladimir
We consider the massless Dirac operator with the MIT bag boundary conditions on an unbounded three-dimensional circular cone. For convex cones, we prove that this operator is self-adjoint defined on four-component $H^1$--functions satisfying the MIT
Externí odkaz:
http://arxiv.org/abs/2201.08192
In this paper we introduce a notion of magnetic field in the Heisenberg group and we study its influence on spectral properties of the corresponding magnetic (sub-elliptic) Laplacian. We show that uniform magnetic fields uplift the bottom of the spec
Externí odkaz:
http://arxiv.org/abs/2110.13775
In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lam\'e operators with non self-adjoint perturbations, we provide quantitative
Externí odkaz:
http://arxiv.org/abs/2108.07676
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schr\"odinger equation with a bounded time-dependent complex electric potential and a time-independent vector magnetic potential. We prove that, if a suitable ge
Externí odkaz:
http://arxiv.org/abs/2107.10782
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a non-trivial angular perturbation of the free operator typically improves the inequality, and may also provide an estimate which does not hold in the fre
Externí odkaz:
http://arxiv.org/abs/2106.09804
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed by decomposing it into a linear combination of four elementary intera
Externí odkaz:
http://arxiv.org/abs/2102.09988
This paper is devoted to providing quantitative bounds on the location of eigenvalues, both discrete and embedded, of non self-adjoint Lam\'e operators of elasticity $-\Delta^\ast + V$ in terms of suitable norms of the potential $V$. In particular, t
Externí odkaz:
http://arxiv.org/abs/2101.09350
Publikováno v:
Annales Henri Poincar\'e 21, 2193-2217 (2020)
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex $\ell^p$-potentials for $1\leq p\leq\infty$. As a corollary, subsets of the essential spectrum free of embedded eigenvalues are
Externí odkaz:
http://arxiv.org/abs/1910.10710