Zobrazeno 1 - 10
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pro vyhledávání: '"Weder, Ricardo"'
Autor:
Weder, Ricardo
Publikováno v:
Opuscula Math. vol. 44 (2024) 899-916
We prove a reverse Lieb-Thirring inequality with a sharp constant for the matrix Schr\"odinger equation on the half-line.
Comment: I corrected misprints and I have added the journal reference
Comment: I corrected misprints and I have added the journal reference
Externí odkaz:
http://arxiv.org/abs/2405.00799
Autor:
Aktosun, Tuncay, Weder, Ricardo
We present the transformations to remove or add bound states or to decrease or increase the multiplicities of any existing bound states for the half-line matrix-valued Schr\"odinger operator with the general selfadjoint boundary condition, without ch
Externí odkaz:
http://arxiv.org/abs/2402.12136
Publikováno v:
J. Phys. A: Math. Theor. vol 57 (2024) 345301
We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angul
Externí odkaz:
http://arxiv.org/abs/2312.09127
Autor:
Aktosun, Tuncay, Weder, Ricardo
The scattering matrix for the full-line matrix Schr\"odinger equation is analyzed when the corresponding matrix-valued potential is selfadjoint, integrable, and has a finite first moment. The matrix-valued potential is decomposed into a finite number
Externí odkaz:
http://arxiv.org/abs/2212.07573
Autor:
Naumkin, Ivan, Weder, Ricardo
This paper is devoted to the study of the large-time asymptotics of the small solutions to the matrix nonlinear Schr\"{o}dinger equation with a potential on the half-line and with general selfadjoint boundary condition, and on the line with a potenti
Externí odkaz:
http://arxiv.org/abs/2209.04969
Publikováno v:
Supl. Rev. Mex. Fis. 3 020714 (2022) 1-7
We give a short review on the static and dynamical Casimir effects, recalling their historical prediction, as well as their more recent experimental verification. We emphasise on the central role played by so-called {\it dynamical boundary conditions
Externí odkaz:
http://arxiv.org/abs/2112.06824
Publikováno v:
J.Phys. A: Math. Theor. vol 54, number 10, 105203 (2021)
We have studied in a previous work the quantization of a mixed bulk-boundary system describing the coupled dynamics between a bulk quantum field confined to a spacetime with finite space slice and with timelike boundary, and a boundary observable def
Externí odkaz:
http://arxiv.org/abs/2008.02842
We study a coupled system that describes the interacting dynamics between a bulk field, confined to a finite region with timelike boundary, and a boundary observable. In our system the dynamics of the boundary observable prescribes dynamical boundary
Externí odkaz:
http://arxiv.org/abs/2004.05646
Publikováno v:
Journal of Statistical Physics volume 183 article 23 (2021) 57 pp
We study the Bernstein-Landau paradox in the collisionless motion of an electrostatic plasma in the presence of a constant external magnetic field. The Bernstein-Landau paradox consists in that in the presence of the magnetic field, the electric fiel
Externí odkaz:
http://arxiv.org/abs/2002.11380
Autor:
Weder, Ricardo
We prove that the wave operators for $n \times n$ matrix Schr\"odinger equations on the half line, with general selfadjoint boundary condition, are bounded in the spaces $L^p(\mathbb R^+, \mathbb C^n), 1 < p < \infty, $ for slowly decaying selfadjoin
Externí odkaz:
http://arxiv.org/abs/1912.12793