Zobrazeno 1 - 10
of 323
pro vyhledávání: '"Posilicano, A."'
Autor:
Mantile, Andrea, Posilicano, Andrea
We provide a detailed study of the spectral properties of the linear operator $H(\varepsilon)=-(\varepsilon^{2}\chi_{\Omega_{\varepsilon}}+\chi_{\Omega^{c}_{\varepsilon}})\Delta$ modeling, through the wave equation $(\partial_{tt}+H(\varepsilon))u=0$
Externí odkaz:
http://arxiv.org/abs/2406.17130
Autor:
Mantile, Andrea, Posilicano, Andrea
Publikováno v:
Partial Differ. Equ. Appl. 5, 26 (2024)
Given an open, bounded and connected set $\Omega\subset\mathbb{R}^{3}$ and its rescaling $\Omega_{\varepsilon}$ of size $\varepsilon\ll 1$, we consider the solutions of the Cauchy problem for the inhomogeneous wave equation $$ (\varepsilon^{-2}\chi_{
Externí odkaz:
http://arxiv.org/abs/2401.17195
Autor:
Posilicano, Andrea
Publikováno v:
Math Phys Anal Geom 27, 11 (2024)
We present a much shorter and streamlined proof of an improved version of the results previously given in [A. Posilicano: On the Self-Adjointness of $H+A^{*}+A$, Math. Phys. Anal. Geom. (2020)] concerning the self-adjoint realizations of formal QFT-l
Externí odkaz:
http://arxiv.org/abs/2307.13830
Autor:
Posilicano, A., Reginato, L.
Publikováno v:
Oper. Matrices 17 (2023), no. 4, 1167-1190
Let ${\mathsf D}$ and ${\mathsf H}$ be the self-adjoint, one-dimensional Dirac and Schr\"odinger operators in $L^{2}(\mathbb{R};\mathbb{C}^{2})$ and $L^{2}(\mathbb{R};\mathbb{C})$ respectively. It is well known that, in absence of an external potenti
Externí odkaz:
http://arxiv.org/abs/2304.09130
Autor:
Mantile, Andrea, Posilicano, Andrea
Publikováno v:
J. Spectr. Theory 13 (2023), no. 3, pp. 1057-1109
We provide an asymptotic completeness criterion and a representation formula for the scattering matrix of the scattering couple $(A_B,A)$, where both $A$ and $A_B$ are self-adjoint operator and $A_B$ formally corresponds to adding to $A$ two terms, o
Externí odkaz:
http://arxiv.org/abs/2208.03106
Publikováno v:
J. Math. Pures Appl. 165, 106-147, 2022
It is well known that the presence, in a homogeneous acoustic medium, of a small inhomogeneity (of size $\varepsilon$), enjoying a high contrast of both its mass density and bulk modulus, amplifies the generated total fields. This amplification is mo
Externí odkaz:
http://arxiv.org/abs/2110.03043
Autor:
Mantile, Andrea, Posilicano, Andrea
Publikováno v:
J. Math. Anal. Appl. 518 (2023) 126758
Let $\Delta_{\alpha,Y}$ be the bounded from above self-adjoint realization in $L^{2}({\mathbb R}^{3})$ of the Laplacian with $n$ point scatterers placed at $Y=\{y_{1},\dots,y_{n}\}\subset{\mathbb R}^{3}$, the parameters $(\alpha_{1},\dots\alpha_{n})\
Externí odkaz:
http://arxiv.org/abs/2105.02360
Publikováno v:
Reviews in Mathematical Physics Vol. 34, No. 06, 2250015 (2022)
We consider the quantum evolution $e^{-i\frac{t}{\hbar}H_{\beta}} \psi_{\xi}^{\hbar}$ of a Gaussian coherent state $\psi_{\xi}^{\hbar}\in L^{2}(\mathbb{R})$ localized close to the classical state $\xi \equiv (q,p) \in \mathbb{R}^{2}$, where $H_{\beta
Externí odkaz:
http://arxiv.org/abs/2012.12735
Autor:
Boussaid, Nabile, Cacciapuoti, Claudio, Carlone, Raffaele, Comech, Andrew, Noja, Diego, Posilicano, Andrea
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and present a detailed study of the spectrum of linearization at solitary waves. We then consider two different perturbations of the nonlinearity which br
Externí odkaz:
http://arxiv.org/abs/2006.03345
Publikováno v:
Anal. Math. Phys. 11 (2021), 45
We consider the dynamics of a quantum particle of mass $m$ on a $n$-edges star-graph with Hamiltonian $H_K=-(2m)^{-1}\hbar^2 \Delta$ and Kirchhoff conditions in the vertex. We describe the semiclassical limit of the quantum evolution of an initial st
Externí odkaz:
http://arxiv.org/abs/2005.03790